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  Subjects -> ENGINEERING (Total: 2358 journals)
    - CHEMICAL ENGINEERING (201 journals)
    - CIVIL ENGINEERING (192 journals)
    - ELECTRICAL ENGINEERING (107 journals)
    - ENGINEERING (1240 journals)
    - ENGINEERING MECHANICS AND MATERIALS (394 journals)
    - HYDRAULIC ENGINEERING (56 journals)
    - INDUSTRIAL ENGINEERING (72 journals)
    - MECHANICAL ENGINEERING (96 journals)

ENGINEERING (1240 journals)            First | 1 2 3 4 5 6 7 | Last

Showing 401 - 600 of 1205 Journals sorted alphabetically
IEEE/ACM Transactions on Computational Biology and Bioinformatics     Hybrid Journal   (Followers: 16)
IERI Procedia     Open Access   (Followers: 1)
IET Circuits, Devices & Systems     Hybrid Journal   (Followers: 18)
IET Generation, Transmission & Distribution     Hybrid Journal   (Followers: 3)
IET Image Processing     Hybrid Journal   (Followers: 18)
IET Micro and Nano Letters     Hybrid Journal   (Followers: 6)
IET Microwaves, Antennas & Propagation     Hybrid Journal   (Followers: 31)
IET Optoelectronics     Hybrid Journal   (Followers: 1)
IET Radar, Sonar & Navigation     Hybrid Journal   (Followers: 30)
IET Renewable Power Generation     Hybrid Journal   (Followers: 10)
IET Science, Measurement & Technology     Hybrid Journal   (Followers: 2)
IET Signal Processing     Hybrid Journal   (Followers: 19)
IETE Journal of Research     Open Access   (Followers: 10)
IETE Technical Review     Open Access   (Followers: 11)
IIE Transactions     Hybrid Journal   (Followers: 1)
IIUM Engineering Journal     Open Access  
Implementation Science     Open Access   (Followers: 16)
Indian Journal of Biotechnology (IJBT)     Open Access   (Followers: 2)
Indonesian Journal of Science and Technology     Open Access  
Industrial Data     Open Access   (Followers: 1)
Industrie et Technologies     Full-text available via subscription   (Followers: 17)
Informatik-Spektrum     Hybrid Journal   (Followers: 2)
Inge-Cuc     Open Access  
Ingeniare : Revista Chilena de Ingenieria     Open Access   (Followers: 1)
Ingenieria     Open Access   (Followers: 1)
Ingeniería     Open Access   (Followers: 1)
Ingenieria de Recursos Naturales y del Ambiente     Open Access  
Ingeniería Energética     Open Access  
Ingenieria Industrial. Actualidad y Nuevas Tendencias     Open Access  
Ingeniería Investigación y Desarrollo     Open Access   (Followers: 2)
Ingeniería solidaria     Open Access   (Followers: 1)
Ingenieria y Ciencia     Open Access   (Followers: 1)
Ingeniería y Desarrollo     Open Access  
Ingenieria y Universidad     Open Access   (Followers: 1)
Ingeniería, Investigación y Tecnología     Open Access   (Followers: 1)
Ingenierías USBMed     Open Access  
Ingenio Magno     Open Access   (Followers: 1)
Ingenium : Revista de la Facultad de Ingeniería     Open Access  
Ingenius : Revista de Ciencia y Tecnología     Open Access  
Innovare : Revista de ciencia y tecnología     Open Access  
Instrumentation Science & Technology     Hybrid Journal   (Followers: 6)
Integration, the VLSI Journal     Hybrid Journal   (Followers: 5)
Intelligent Control and Automation     Open Access   (Followers: 6)
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 10)
Interface Science and Technology     Full-text available via subscription  
Intermetallics     Hybrid Journal   (Followers: 23)
International Archives of Science and Technology     Open Access  
International Communications in Heat and Mass Transfer     Hybrid Journal   (Followers: 20)
International conference KNOWLEDGE-BASED ORGANIZATION     Open Access  
International Heat Treatment and Surface Engineering     Hybrid Journal   (Followers: 4)
International Journal for Numerical Methods in Engineering     Hybrid Journal   (Followers: 30)
International Journal for Numerical Methods in Fluids     Hybrid Journal   (Followers: 19)
International Journal for Simulation and Multidisciplinary Design Optimization     Open Access   (Followers: 4)
International Journal for the History of Engineering & Technology     Hybrid Journal   (Followers: 7)
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Adaptive Control and Signal Processing     Hybrid Journal   (Followers: 2)
International Journal of Adhesion and Adhesives     Hybrid Journal   (Followers: 18)
International Journal of Advanced Engineering Research and Science IJAERS     Open Access   (Followers: 8)
International Journal of Advanced engineering, Management and Science     Open Access   (Followers: 2)
International Journal of Advanced Research in Engineering     Open Access  
International Journal of Advancements in Technology     Open Access   (Followers: 1)
International Journal of Advances in Applied Sciences     Open Access   (Followers: 4)
International Journal of Advances in Engineering Sciences     Open Access   (Followers: 2)
International Journal of Advances in Engineering Sciences and Applied Mathematics     Hybrid Journal   (Followers: 1)
International Journal of Advances in Engineering, Science and Technology     Open Access   (Followers: 3)
International Journal of Aerodynamics     Hybrid Journal   (Followers: 24)
International Journal of Air-Conditioning and Refrigeration     Hybrid Journal   (Followers: 12)
International Journal of Antennas and Propagation     Open Access   (Followers: 11)
International Journal of Applied Ceramic Technology     Hybrid Journal   (Followers: 8)
International Journal of Applied Power Engineering     Open Access   (Followers: 5)
International Journal of Architectural Computing     Full-text available via subscription   (Followers: 5)
International Journal of Automation and Control Engineering     Open Access   (Followers: 4)
International Journal of Automotive Technology and Management     Hybrid Journal   (Followers: 6)
International Journal of Autonomic Computing     Hybrid Journal   (Followers: 1)
International Journal of Autonomous and Adaptive Communications Systems     Hybrid Journal   (Followers: 3)
International Journal of Basic and Applied Sciences     Open Access   (Followers: 4)
International Journal of Bifurcation and Chaos     Hybrid Journal   (Followers: 3)
International Journal of Biomedical and Clinical Engineering     Full-text available via subscription   (Followers: 4)
International Journal of Biomedical Imaging     Open Access   (Followers: 3)
International Journal of Cast Metals Research     Hybrid Journal  
International Journal of Circuit Theory and Applications     Hybrid Journal   (Followers: 1)
International Journal of Coal Science & Technology     Open Access   (Followers: 1)
International Journal of Collaborative Engineering     Hybrid Journal  
International Journal of Communication Systems     Hybrid Journal   (Followers: 1)
International Journal of Complexity in Applied Science and Technology     Hybrid Journal  
International Journal of Computer Aided Engineering and Technology     Hybrid Journal   (Followers: 2)
International Journal of Computer Applications in Technology     Hybrid Journal   (Followers: 2)
International Journal of Control Science and Engineering     Open Access   (Followers: 4)
International Journal of Control, Automation and Systems     Hybrid Journal   (Followers: 11)
International Journal of Corrosion     Open Access   (Followers: 10)
International Journal of Crashworthiness     Hybrid Journal   (Followers: 9)
International Journal of Design Engineering     Hybrid Journal   (Followers: 12)
International Journal of Digital Multimedia Broadcasting     Open Access   (Followers: 5)
International Journal of Digital Signals and Smart Systems     Hybrid Journal  
International Journal of Education and Management Engineering     Open Access   (Followers: 2)
International Journal of Education Economics and Development     Hybrid Journal   (Followers: 5)
International Journal of Embedded Systems     Hybrid Journal   (Followers: 5)
International Journal of Energy Optimization and Engineering     Hybrid Journal   (Followers: 5)
International Journal of Engine Research     Hybrid Journal   (Followers: 2)
International Journal of Engineering & Technology     Open Access   (Followers: 5)
International Journal of Engineering and Future Technology     Open Access  
International Journal of Engineering and Manufacturing     Open Access   (Followers: 1)
International Journal of Engineering and Technologies     Open Access   (Followers: 1)
International Journal of Engineering Business Management     Open Access   (Followers: 2)
International Journal of Engineering Education     Full-text available via subscription   (Followers: 5)
International Journal of Engineering Management and Economics     Hybrid Journal   (Followers: 4)
International Journal of Engineering Mathematics     Open Access   (Followers: 5)
International Journal of Engineering Pedagogy     Open Access  
International Journal of Engineering Practical Research     Open Access  
International Journal of Engineering Research in Africa     Full-text available via subscription   (Followers: 3)
International Journal of Engineering Science     Hybrid Journal   (Followers: 5)
International Journal of Engineering Systems Modelling and Simulation     Hybrid Journal   (Followers: 9)
International Journal of Engineering, Science and Technology     Open Access  
International Journal of Engineering, Social Justice, and Peace     Open Access   (Followers: 4)
International Journal of Environmental Engineering     Hybrid Journal   (Followers: 5)
International Journal of Experimental Design and Process Optimisation     Hybrid Journal   (Followers: 5)
International Journal of Fatigue     Hybrid Journal   (Followers: 38)
International Journal of Foresight and Innovation Policy     Hybrid Journal   (Followers: 5)
International Journal of Fracture     Hybrid Journal   (Followers: 13)
International Journal of Geo-Engineering     Open Access   (Followers: 3)
International Journal of Geotechnical Engineering     Hybrid Journal   (Followers: 6)
International Journal of Grid and Utility Computing     Hybrid Journal  
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 35)
International Journal of Heat and Mass Transfer     Hybrid Journal   (Followers: 223)
International Journal of Heavy Vehicle Systems     Hybrid Journal   (Followers: 7)
International Journal of Imaging Systems and Technology     Hybrid Journal   (Followers: 1)
International Journal of Impact Engineering     Hybrid Journal   (Followers: 9)
International Journal of Information Acquisition     Hybrid Journal   (Followers: 1)
International Journal of Innovation and Applied Studies     Open Access   (Followers: 5)
International Journal of Innovation Science     Hybrid Journal   (Followers: 10)
International Journal of Innovative Technology and Research     Open Access   (Followers: 2)
International Journal of Integrated Engineering     Open Access  
International Journal of Intelligent Engineering Informatics     Hybrid Journal  
International Journal of Intelligent Systems and Applications in Engineering     Open Access   (Followers: 3)
International Journal of Lifecycle Performance Engineering     Hybrid Journal   (Followers: 1)
International Journal of Machine Tools and Manufacture     Hybrid Journal   (Followers: 7)
International Journal of Manufacturing Research     Hybrid Journal   (Followers: 7)
International Journal of Manufacturing Technology and Management     Hybrid Journal   (Followers: 7)
International Journal of Marine Engineering Innovation and Research     Open Access  
International Journal of Materials and Product Technology     Hybrid Journal   (Followers: 3)
International Journal of Mathematical Education in Science and Technology     Hybrid Journal   (Followers: 9)
International Journal of Mathematics in Operational Research     Hybrid Journal   (Followers: 1)
International Journal of Medical Engineering and Informatics     Hybrid Journal   (Followers: 4)
International Journal of Micro Air Vehicles     Full-text available via subscription   (Followers: 9)
International Journal of Microwave and Wireless Technologies     Hybrid Journal   (Followers: 7)
International Journal of Mobile Network Design and Innovation     Hybrid Journal   (Followers: 2)
International Journal of Multiphase Flow     Hybrid Journal   (Followers: 8)
International Journal of Nanomanufacturing     Hybrid Journal  
International Journal of Nanoscience     Hybrid Journal   (Followers: 1)
International Journal of Nanotechnology     Hybrid Journal   (Followers: 7)
International Journal of Nanotechnology and Molecular Computation     Full-text available via subscription   (Followers: 3)
International Journal of Natural Science and Engineering     Open Access  
International Journal of Navigation and Observation     Open Access   (Followers: 20)
International Journal of Network Management     Hybrid Journal   (Followers: 1)
International Journal of Nonlinear Dynamics and Control     Hybrid Journal  
International Journal of Nonlinear Sciences and Numerical Simulation     Hybrid Journal  
International Journal of Numerical Methods for Heat & Fluid Flow     Hybrid Journal   (Followers: 11)
International Journal of Optics     Open Access   (Followers: 7)
International Journal of Organisational Design and Engineering     Hybrid Journal   (Followers: 3)
International Journal of Pattern Recognition and Artificial Intelligence     Hybrid Journal   (Followers: 9)
International Journal of Pavement Engineering     Hybrid Journal   (Followers: 6)
International Journal of Physical Modelling in Geotechnics     Hybrid Journal   (Followers: 5)
International Journal of Plasticity     Hybrid Journal   (Followers: 7)
International Journal of Plastics Technology     Hybrid Journal   (Followers: 2)
International Journal of Polymer Analysis and Characterization     Hybrid Journal   (Followers: 8)
International Journal of Polymer Science     Open Access   (Followers: 24)
International Journal of Precision Engineering and Manufacturing     Hybrid Journal   (Followers: 8)
International Journal of Precision Engineering and Manufacturing-Green Technology     Hybrid Journal   (Followers: 2)
International Journal of Precision Technology     Hybrid Journal   (Followers: 1)
International Journal of Pressure Vessels and Piping     Hybrid Journal   (Followers: 25)
International Journal of Production Economics     Hybrid Journal   (Followers: 14)
International Journal of Quality and Innovation     Hybrid Journal   (Followers: 5)
International Journal of Quality Assurance in Engineering and Technology Education     Full-text available via subscription   (Followers: 2)
International Journal of Quality Engineering and Technology     Hybrid Journal   (Followers: 3)
International Journal of Quantum Information     Hybrid Journal   (Followers: 4)
International Journal of Rapid Manufacturing     Hybrid Journal   (Followers: 3)
International Journal of Recent Contributions from Engineering, Science & IT     Open Access   (Followers: 1)
International Journal of Reliability, Quality and Safety Engineering     Hybrid Journal   (Followers: 15)
International Journal of Renewable Energy Technology     Hybrid Journal   (Followers: 9)
International Journal of Robust and Nonlinear Control     Hybrid Journal   (Followers: 5)
International Journal of Science Engineering and Advance Technology     Open Access   (Followers: 1)
International Journal of Sediment Research     Full-text available via subscription   (Followers: 3)
International Journal of Self-Propagating High-Temperature Synthesis     Hybrid Journal   (Followers: 1)
International Journal of Service Science, Management, Engineering, and Technology     Full-text available via subscription   (Followers: 2)
International Journal of Signal and Imaging Systems Engineering     Hybrid Journal  
International Journal of Six Sigma and Competitive Advantage     Hybrid Journal   (Followers: 2)
International Journal of Social Robotics     Hybrid Journal   (Followers: 3)
International Journal of Software Engineering and Knowledge Engineering     Hybrid Journal   (Followers: 6)
International Journal of Space Science and Engineering     Hybrid Journal   (Followers: 7)
International Journal of Speech Technology     Hybrid Journal   (Followers: 8)
International Journal of Spray and Combustion Dynamics     Hybrid Journal   (Followers: 15)
International Journal of Surface Engineering and Interdisciplinary Materials Science     Full-text available via subscription   (Followers: 1)
International Journal of Surface Science and Engineering     Hybrid Journal   (Followers: 7)
International Journal of Sustainable Engineering     Hybrid Journal   (Followers: 4)
International Journal of Sustainable Lighting     Open Access  
International Journal of Sustainable Manufacturing     Hybrid Journal   (Followers: 4)
International Journal of Systems and Service-Oriented Engineering     Full-text available via subscription  
International Journal of Systems Assurance Engineering and Management     Hybrid Journal  
International Journal of Systems, Control and Communications     Hybrid Journal   (Followers: 3)
International Journal of Technoethics     Full-text available via subscription   (Followers: 2)

  First | 1 2 3 4 5 6 7 | Last

Journal Cover Engineering Analysis with Boundary Elements
  [SJR: 1.251]   [H-I: 52]   [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0955-7997
   Published by Elsevier Homepage  [3175 journals]
  • Structural shape optimization by IGABEM and particle swarm optimization
           algorithm
    • Authors: S.H. Sun; T.T. Yu; T.T. Nguyen; E. Atroshchenko; T.Q. Bui
      Pages: 26 - 40
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): S.H. Sun, T.T. Yu, T.T. Nguyen, E. Atroshchenko, T.Q. Bui
      In this paper, a new approach is developed for structural shape optimization, which consists in coupling the particle swarm optimization (PSO) algorithm and the isogeometric boundary element method (IGA-BEM). The IGA-BEM is based on the combination of the isogeometric analysis (IGA) and the boundary element method (BEM), where Non-Uniform Rational B-Splines (NURBS) are employed as shape functions for geometry parameterization and approximation of the field variables. The method inherits the main advantage of the IGA-based shape optimization, i.e., the control points are used as design variables, thus the design model, analysis model and optimization model are uniformly described with the NURBS, providing easy communication between the three models and resulting in a smooth optimized boundary. However, the main feature of the proposed method is the use of PSO, which provides an attractive gradient-free alternative to complicated sensitivity analysis. The efficiency and accuracy of the proposed approach are demonstrated through four 2D shape optimization examples.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.007
      Issue No: Vol. 88 (2018)
       
  • Hydraulic fracture at the dam-foundation interface using the scaled
           boundary finite element method coupled with the cohesive crack model
    • Authors: Hong Zhong; Hongjun Li; Ean Tat Ooi; Chongmin Song
      Pages: 41 - 53
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): Hong Zhong, Hongjun Li, Ean Tat Ooi, Chongmin Song
      The scaled boundary finite element method coupled with the cohesive crack model is extended to investigate the hydraulic fracture at the dam-foundation interface. The concrete and rock bulk are modeled by the scaled boundary polygons. Cohesive interface elements model the fracture process zone between the crack faces. The cohesive tractions are modeled as side-face tractions in the scaled boundary polygons. The solution of the stress field around the crack tip is expressed semi-analytically as a power series. Accurate displacement field, stress field and stress intensity factors can be obtained without asymptotic enrichment or local mesh refinement. The proposed procedure is verified by the hydraulic fracture of a rectangular embankment on rigid foundation and applied to the modeling of hydraulic fracture on the dam-foundation interface of a benchmark dam. Different distributions of water pressure inside the crack are investigated. It is found that the water pressure inside the crack decreases the peak overflow to less than 20% of the case without water in the crack. Considering the water lag or not is significant to the response, while different distribution of pressure following the water lag region in the fracture process zone has negligible influence.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.11.009
      Issue No: Vol. 88 (2018)
       
  • A Stokes–Brinkman model of the fluid flow in a periodic cell with a
           porous body using the boundary element method
    • Authors: R.F. Mardanov; S.K. Zaripov; V.F. Sharafutdinov; S.J. Dunnett
      Pages: 54 - 63
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): R.F. Mardanov, S.K. Zaripov, V.F. Sharafutdinov, S.J. Dunnett
      The problem of viscous incompressible flow in a periodic cell with a porous body is solved. The Stokes flow model is adopted to describe the flow outside the body and the Brinkman equation is applied to find the filtration velocity field inside the porous domain. The conditions on the boundary between the free fluid and the porous medium for the porous body of arbitrary shape are obtained. The boundary value problem for the joint solution of the biharmonic and Brinkman equations for the stream functions outside and inside the porous body are then solved using a boundary element method. Good agreement of the numerical and analytical models for the Kuwabara circular cell model is shown for the fluid flow through a porous circular cylinder. The fluid flow past a circular, square, triangular cylinders and a circular body of uneven surface (an idealized model of a viral capsid) in a rectangular periodic cell are calculated. Comparison of the results obtained with the numerical solution from a CFD ANSYS/FLUENT model shows good accuracy of the developed mathematical model.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.006
      Issue No: Vol. 88 (2018)
       
  • Mixed Discrete Least Squares Meshfree method for solving the
           incompressible Navier–Stokes equations
    • Authors: S. Faraji Gargari; M. Kolahdoozan; M.H. Afshar
      Pages: 64 - 79
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): S. Faraji Gargari, M. Kolahdoozan, M.H. Afshar
      A Mixed Discrete Least Squares Meshfree (MDLSM) method is proposed in this paper for the solution of incompressible Navier–Stokes equations. A semi-incremental two-step fractional projection method is first used to discretize the incompressible Navier–Stokes equations, followed by a mixed formulation used to solve the pressure equations. Using the mixed formulation, it is expected that the accuracy of the pressure approximation and in particular the pressure gradients are improved compared with that of conventional solution methods and in particular Discrete Least Squares Meshfree (DLSM) method. DLSM method is based on minimizing the least squares functional defined as the weighted summation of the squared residuals of the differential equation and its boundary conditions. The method is not subject to the Ladyzenskaja–Babuska–Brezzi (LBB) condition since it formulates the problem in the form of a minimization problem rather than a saddle-point problem. A number of numerical experiments are used to evaluate the efficiency of the proposed MDLSM method and to compare its accuracy against the DLSM method. From the results, it is found that the proposed MDLSM method can efficiently simulate the incompressible fluid flow problems. Furthermore, it can be concluded that the MDLSM method has higher accuracy compared with the DLSM method.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.018
      Issue No: Vol. 88 (2018)
       
  • Coupled thermoelastic analysis of an FG multilayer graphene
           platelets-reinforced nanocomposite cylinder using meshless GFD method: A
           modified micromechanical model
    • Authors: Seyed Mahmoud Hosseini; Chuanzeng Zhang
      Pages: 80 - 92
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): Seyed Mahmoud Hosseini, Chuanzeng Zhang
      The coupled thermoelasticity analysis based on the Green–Naghdi theory with energy dissipation is carried out to assess the thermoelastic wave propagations in an FG multilayer graphene platelets-reinforced nanocomposite cylinder. The cylinder is assumed to be made of multi-layers (sub-cylinders), and each layer is reinforced by a uniform distribution of graphene platelets (GPLs). A modified micromechanical model is used to calculate the thermal and mechanical properties considering nonlinear grading patterns of the GPLs along the radial direction of the cylinder. Using a proper arrangement of the layers, the nonlinear grading patterns of the GPLs are created along the radial direction of the whole cylinder. To solve the obtained governing partial differential equations (PDEs), the meshless generalized finite-difference (GFD) method and the Newmark method are employed. The inner surface of the cylinder is excited by three types of the thermal shock loading including the suddenly temperature increase described by the Heaviside step function, as well as sinusoidal and ramp pulses. The effects of the key parameters such as the weight fraction of the GPLs and volume fraction index on the thermoelastic wave propagations and dynamic behaviors of the field variables are studied in details. Also, the effects of the key parameters on the thermoelastic damping in the temperature field are illustrated using the presented modified micromechanical model. The accuracy and stability of the presented meshless method and the numerical results are verified by the published reference data.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.010
      Issue No: Vol. 88 (2018)
       
  • A Trefftz collocation method (TCM) for three-dimensional linear elasticity
           by using the Papkovich-Neuber solutions with cylindrical harmonics
    • Authors: Guannan Wang; Leiting Dong; Satya N. Atluri
      Pages: 93 - 103
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): Guannan Wang, Leiting Dong, Satya N. Atluri
      A Trefftz collocation method (TCM) is proposed for solving three-dimensional (3D) linear-elastic boundary value problems. By using the Papkovich-Neuber (P-N) general solutions, Trefftz trial functions are expressed in terms of cylindrical harmonics. Both non-singular and singular harmonic functions are included, facilitating the study of interior and exterior problems. To mitigate the problem of ill-conditioned functions, two steps are adopted: the first step is to introduce a characteristic length of the domains of interests into the Laplace equation, and the second step is to scale each column of the coefficient matrix in the established system of linear equations using another multi-scale characteristic length, letting each column have the equal norms. Several examples are presented to validate the proposed 3D Trefftz collocation method. The completeness of the trial functions, the effect of the scaling techniques, and the accuracy of solutions are also discussed.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.009
      Issue No: Vol. 88 (2018)
       
  • Algebraic formulation of nonlinear surface impedance boundary condition
           coupled with BEM for unstructured meshes
    • Authors: Fabio Freschi; Luca Giaccone; Maurizio Repetto
      Pages: 104 - 114
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): Fabio Freschi, Luca Giaccone, Maurizio Repetto
      This paper deals with nonlinear eddy currents problems introducing a novel surface impedance boundary conditions (SIBC). The SIBC is formulated in the algebraic framework giving to the field problem a circuital interpretation. In this way, the material behavior of the conductive computational domain is described by a network of lumped components. This paper shows that this matrix can be defined analytically in the case of linear magnetic characteristic or numerically when the material is nonlinear. It is shown that by mapping the magnetic nonlinearity into the circuit matrix the nonlinearity of the problem is smoothed and, therefore, a simple iterative scheme can be used. The SIBC is coupled to a BEM (for the region surrounding) giving rise to a hybrid solution. The method has been tested in terms of efficiency and accuracy. The use of the Schur complement of the solution matrix has allowed to decrease the solution time of an order of magnitude. A block triangular preconditioner is finally proposed in the case of highly distorted elements of the mesh. The preconditioner is based on the sparsification of the BEM matrix and its performance are analyzed considering a benchmark problem and a real problem (a wireless power transfer system).

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.008
      Issue No: Vol. 88 (2018)
       
  • Hybrid SPH-MD two-phase modelling of 3D free-surface flows introducing
           double K-H instability
    • Authors: Jafar Ghazanfarian; Mahshid Moradi
      Pages: 115 - 131
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): Jafar Ghazanfarian, Mahshid Moradi
      This paper studies multi-dimensional free-surface problem using a hybrid method combining the particle-based Smoothed-Particle Hydrodynamics (SPH) and atomistic Molecular dynamics (MD) techniques. In order to verify/validate the accuracy of the numerical solver, several cases including the 2D single-phase and two-phase dam break flows with dry bed, the 2D dam break flow over a layer of sand, the 3D broken dam flow, and the standard Kelvin–Helmholtz instability have been considered. After performing the particle-independence test, numerical results have been produced for several cases including the energy dissipation in 2D dam break flow with the fluidized bed, the interaction of 3D breaking dam flow with an obstacle of various heights and locations, exhaustive investigation of air particles for 2D and 3D cases, and the effect of surface tension by changing the container size and water temperature. Finally, a new version of the Kelvin–Helmholtz instability has been proposed, in which three layers of parallel flow (2 water layers and 1 air layer) including an interface and a free-surface become unstable. It is found that the water-water interface is more unstable than the air-water contact surface, and the amplified waves on the air-water interface are traveling standing waves with sharp tips.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.019
      Issue No: Vol. 88 (2018)
       
  • Searching for an optimal shape parameter for solving a partial
           differential equation with the radial basis functions method
    • Authors: Marko Urleb; Leopold Vrankar
      Abstract: Publication date: Available online 5 January 2018
      Source:Engineering Analysis with Boundary Elements
      Author(s): Marko Urleb, Leopold Vrankar
      This article presents a procedure for searching for an optimal shape parameter for the solution of partial differential equations with the corresponding initial and boundary conditions, where the solution of the problem is unknown. In recent years, radial basis function methods have emerged as alternative computing methods in the scientific computing community. The numerical solution of partial differential equations has usually been obtained by using finite difference methods, finite element methods (FEMs), boundary elements methods or finite volume methods. In our case, we use the multiquadric radial basis function, Gershgorin’s theorem and the Newton method for searching an optimal shape parameter for solving diffusion equations. More cases are presented, the results of which are compared with the results obtained by the FEM.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.013
       
  • Local multilevel scattered data interpolation
    • Authors: Zhiyong Liu
      Abstract: Publication date: Available online 5 January 2018
      Source:Engineering Analysis with Boundary Elements
      Author(s): Zhiyong Liu
      Radial basis functions play an increasingly prominent role in modern approximation. They are widely used in scattered data fitting, numerical solution of partial differential equations, machine learning and others. Although radial basis functions have excellent approximation properties, they often produce highly ill-conditioned discrete algebraic system and lead to a high computational cost. The paper introduces local multilevel scattered data interpolation method, which employ nested scattered data sets and scaled compactly supported radial basis functions with varying support radii. We will provide convergence theory for Sobolev target functions. And several numerical experiments will be provided to conform the efficiency of new method.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.11.017
       
  • Using radial basis functions to solve two dimensional linear stochastic
           integral equations on non-rectangular domains
    • Authors: Farshid Mirzaee; Nasrin Samadyar
      Abstract: Publication date: Available online 5 January 2018
      Source:Engineering Analysis with Boundary Elements
      Author(s): Farshid Mirzaee, Nasrin Samadyar
      The main goal of this paper is presenting an efficient numerical scheme to solve two dimensional linear stochastic integral equations on non-rectangular domains. The proposed method is based on combination of radial basis functions (RBFs) interpolation and Gauss–Legendre quadrature rule for double integrals. The most important advantage of proposed method is that it does not require any discretization and so it is independent of the geometry of the domains. Thus, many problems on the irregular domains can be solved. By using this method, the solution of consideration problem is converted to the solution of the linear system of algebraic equations which can be solved by a suitable numerical method. Also, the convergence analysis of this approach is discussed. Finally, applicability of the present method is investigated through illustrative examples.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.017
       
  • Homogenization technique for heterogeneous composite materials using
           meshless methods
    • Authors: D.E.S. Rodrigues; J. Belinha; F.M.A. Pires; L.M.J.S. Dinis; R.M. Natal Jorge
      Abstract: Publication date: Available online 5 January 2018
      Source:Engineering Analysis with Boundary Elements
      Author(s): D.E.S. Rodrigues, J. Belinha, F.M.A. Pires, L.M.J.S. Dinis, R.M. Natal Jorge
      Due to its random fibre distribution across the cross-section and their anisotropic and heterogeneous characteristic, the prediction of the mechanical behaviour of fibre composite materials is complex. Multi-scale approaches have been proposed in the literature to more accurately predict their mechanical properties using computational homogenization procedures. This work is based on existing multi-scale numerical transition techniques suitable for simulating heterogeneous materials and makes use of two meshless methods—the Radial Point Interpolation Method (RPIM) and the Natural Neighbour Radial Point Interpolation Method (NNRPIM)—and the Finite Element Method (FEM). Representative volume elements (RVEs) are modelled and discretized using the three numerical methods. Prescribed microscopic displacements are imposed on different RVEs whose boundaries are periodic and, from the obtained stress field, the average stresses are determined. Consequentially, the effective elastic properties of a heterogeneous material are obtained for different fibre volume fractions. In the end, the numerical solutions are compared with the solutions proposed in the literature and it is proved that the NNRPIM achieve more accurate solutions than the RPIM and the FEM.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.012
       
  • Coupled MLPG–FVM simulation of steady state heat conduction in
           irregular geometry
    • Authors: Zeng-Yao Li; Zheng-Ji Chen; Xue-Hong Wu; Wen-Quan Tao
      Abstract: Publication date: Available online 5 January 2018
      Source:Engineering Analysis with Boundary Elements
      Author(s): Zeng-Yao Li, Zheng-Ji Chen, Xue-Hong Wu, Wen-Quan Tao
      The two-dimensional steady-state heat conduction in irregular geometry is solved by a MLPG–FVM coupled method. The meshless local Petrove–Galerkin (MLPG) method is applied to the sub-region with skewed wall surface while the finite volume method (FVM) is used in the rest of the domain. The Dirichlet–Dirichlet method is adopted to couple the temperature between MLPG and FVM methods. In MLPG method, the Dirac's Delta function is taken as the test function to avoid the local domain integration which does not need the numerical integration and the solution is independent of the size of the test function. The proposed MLPG–FVM method is validated and proved to be an efficient numerical method for 2-D heat conduction in irregular geometry, which can exert their own advantages of MLPG and FVM.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.12.015
       
  • On nonlinear analysis by the multipoint meshless FDM
    • Authors: Irena Jaworska; Janusz Orkisz
      Abstract: Publication date: Available online 4 January 2018
      Source:Engineering Analysis with Boundary Elements
      Author(s): Irena Jaworska, Janusz Orkisz
      The main objective of this paper is to present an attempt of an application of the recently developed higher order multipoint meshless FDM in the analysis of nonlinear problems. The multipoint approach provides a higher order approximation and improves the precision of the solution. In addition to improved solution quality, the essential feature of the multipoint approach is its potentially wide ranging applicability. This is possible, because in both the multipoint and standard meshless FDM, the difference formulas are generated at once for the full set of derivatives. Using them, we may easily compose any required FD operator. It is worth mentioning that all derivative operators depend on the domain discretization rather than on the specific problem being analysed. Therefore, the solution of a wide class of problems including nonlinear ones, may be obtained with this method. The numerical algorithm of the multipoint method for nonlinear analysis is presented in this paper. Results of selected engineering benchmark problems – deflection of the ideal membrane and analysis of large deflection of plates using the von Karman theory – are considered.

      PubDate: 2018-01-10T04:05:34Z
      DOI: 10.1016/j.enganabound.2017.11.018
       
  • Numerical solutions of mild slope equation by generalized finite
           difference method
    • Authors: Ting Zhang; Ying-Jie Huang; Lin Liang; Chia-Ming Fan; Po-Wei Li
      Pages: 1 - 13
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): Ting Zhang, Ying-Jie Huang, Lin Liang, Chia-Ming Fan, Po-Wei Li
      The mild slope equation (MSE) has been widely used to describe combined wave refraction and diffraction in the field of coastal and offshore engineering owing to its applicability for a wide range of wave frequencies. In this paper, a meshless numerical algorithm, based on the generalized finite difference method (GFDM), is firstly proposed to efficiently and accurately solve the MSE. As a newly-developed domain-type meshless method, the GFDM can truly get rid of time-consuming meshing generation and numerical quadrature. The partial differential terms of the MSE for each point in the computational domain can be discretized into linear combinations of nearby function values with the moving-least-squares method of the GFDM, so the numerical implementation is very convenient and efficient. To evaluate the accuracy and capability of the proposed scheme for MSE, a series of numerical tests were conducted, covering a range of complexity that included propagation and transformation of waves due to a parabolic shoal, a circular island mounted on a paraboloidal shoal and elliptic shoal situated on a slope, as well as breakwater gap. The results were compared with experimental data, analytical solutions and other numerical methods, and reasonable agreements have been achieved.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.12.005
      Issue No: Vol. 88 (2017)
       
  • Degenerate scale for 2D Laplace equation with mixed boundary condition and
           comparison with other conditions on the boundary
    • Authors: A. Corfdir; G. Bonnet
      Pages: 14 - 25
      Abstract: Publication date: March 2018
      Source:Engineering Analysis with Boundary Elements, Volume 88
      Author(s): A. Corfdir, G. Bonnet
      It is well known that the 2D Laplace Dirichlet problem has a degenerate scale for which the direct boundary integral equation has several solutions. We study here the case of the mixed boundary condition, mainly for the exterior problem, and show that this problem has also one degenerate scale. The degenerate scale factor is a growing function of the part of the boundary submitted to Neumann condition. Different special cases are then addressed: segment, circle and symmetric problems. Some exact values of the degenerate scale factor are given for equilateral triangle and square. The numerical procedure for determining the degenerate scale factor for mixed BC is described. The comparison is made with other kinds of boundary conditions and the consequence of the choice of Green’s function when using the Boundary Element Method is studied.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.12.004
      Issue No: Vol. 88 (2017)
       
  • RIBEM for 2D and 3D nonlinear heat conduction with temperature dependent
           conductivity
    • Authors: Kai Yang; Wei-zhe Feng; Jing Wang; Xiao-wei Gao
      Pages: 1 - 8
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Kai Yang, Wei-zhe Feng, Jing Wang, Xiao-wei Gao
      In this paper, a new and effective radial integration boundary element method (RIBEM) is presented to solve nonlinear heat conduction with temperature dependent thermal conductivity of materials. Boundary-domain integral equation is formulated for nonlinear heat conduction by utilizing the fundamental solutions for the corresponding linear heat conduction, which contains a domain-integral due to the temperature dependence of the thermal conductivity of the materials. Two different approaches based on the radial basis functions are implemented to approximate the unknowns appearing in domain integrals. The arising domain-integral is converted into the equivalent boundary integrals using the radial integration method (RIM), resulting in a pure boundary element analysis algorithm. Newton−Raphson iterative method is applied to solve the final system of algebraic equations after the discretization. Numerical examples are presented to demonstrate the accuracy and the efficiency of the present method.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.001
      Issue No: Vol. 87 (2017)
       
  • A fast boundary integral equation method for point location problem
    • Authors: Qiao Wang; Wei Zhou; Yonggang Cheng; Gang Ma; Xiaolin Chang; E Chen
      Pages: 9 - 18
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Qiao Wang, Wei Zhou, Yonggang Cheng, Gang Ma, Xiaolin Chang, E Chen
      A numerical method based on the boundary integral equation is proposed for the point location problem. For a bounded domain, the integral value is close to 1.0 if a point is inside the domain, and is close to 0.0 when the point is outside the domain. For convenience of integration, the boundary of the domain can be discretized into boundary integral cells. The idea of isogeometric analysis can be easily coupled with the proposed method, i.e., using the parametric functions in geometric modeling to create the integral cells, which results in a mesh-free procedure for which the geometry can be exactly produced at all stages. Thus, the method can be applied to arbitrary shapes and easily embedded in computer-aided design (CAD) packages. The method is time-consuming if implemented directly; a fast multipole method is coupled with the proposed method to accelerate the integral procedure. Some examples of 2D and 3D cases are tested to show the accuracy and efficiency of the proposed method.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.004
      Issue No: Vol. 87 (2017)
       
  • Continuous–discontinuous hybrid boundary node method for frictional
           contact problems
    • Authors: Bing-Di Zhong; Fei Yan; Jia-He Lv
      Pages: 19 - 26
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Bing-Di Zhong, Fei Yan, Jia-He Lv
      This paper presents a continuous–discontinuous hybrid boundary node method for frictional contact problems. In this method, the outer and internal boundaries are divided into several individual segments, for a continuous segment on outer boundary, the radial point interpolation method (RPIM) is employed for shape function construction, for discontinuous segments, the enriched discontinuous basis functions combined with RPIM are developed, in order to reflect the local field property of displacement and stress around crack tip, different basis functions for displacement and traction are developed for shape function construction on discontinuous segments individually. And the near tip asymptotic field functions and Heaviside function are employed for simulating the high gradient of stress field and discontinuous displacement field on contact surfaces. Besides a frictional contact theory and complementation detail for the present method is proposed, and some additional equations are developed for frictional contact iteration. Based on above technique and theory, a continuous–discontinuous hybrid boundary node method is proposed for frictional contact problems. Some numerical examples are shown that the present method is effective and can be widely used for some frictional contact engineering.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.007
      Issue No: Vol. 87 (2017)
       
  • Shape design sensitivity and optimization of anisotropic functionally
           graded smart structures using bicubic B-splines DRBEM
    • Authors: Mohamed Abdelsabour Fahmy
      Pages: 27 - 35
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Mohamed Abdelsabour Fahmy
      A new shape optimization technique is developed, using bicubic B-splines dual reciprocity boundary element method, for anisotropic functionally graded smart structures to minimize weight while satisfying certain constraints upon stresses and geometry. An implicit differentiation of the boundary integral equation with respect to geometric design variables is used to calculate shape design sensitivities of anisotropic materials. This method allows the coupling of an optimizing technique and a boundary element elastic stress analyzer to form an optimum shape design algorithm in two dimensions and also allows high-accuracy computation. The boundary element method needs much fewer data related only to the considered boundary of the structure, so it is very suitable for shape optimization in comparison with the finite element method. Because of the non-linear behavior of weight and stresses, the numerical optimization method used in the program is the feasible direction approach, together with the one-dimensional golden-section search technique. The two-dimensional electric fillet knife used as the numerical example in order to verify the formulation and the implementation of the proposed method.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.005
      Issue No: Vol. 87 (2017)
       
  • The combination of meshless method based on radial basis functions with a
           geometric numerical integration method for solving partial differential
           equations: Application to the heat equation
    • Authors: M. Hajiketabi; S. Abbasbandy
      Pages: 36 - 46
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): M. Hajiketabi, S. Abbasbandy
      In this paper a new scheme is investigated for solving partial differential equations via combination of radial basis functions (RBFs) and group preserving scheme (GPS), which takes advantage of two powerful methods. In this method, we use Kansas approach to approximate the spatial derivatives and then we apply GPS method to approximate first-order time derivative. An advantage of the developed method is that it can be applied to problems with non-regular geometrical domains. To show the efficiency of this method, some heat equations are solved in one, two and three dimension spaces. The two-dimensional version of heat equation on different geometries such as the rectangular, triangular and circular domains is solved. The three-dimensional case is solved on the cubical and spherical domains. To show the high accuracy of the method, a comparison study of the present method and method used in the paper of Dehghan [1] is given.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.008
      Issue No: Vol. 87 (2017)
       
  • A boundary element formulation to perform elastic analysis of
           heterogeneous microstructures
    • Authors: Gabriela R. Fernandes; Guilherme A. Ohland; Jordana F. Vieira
      Pages: 47 - 65
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Gabriela R. Fernandes, Guilherme A. Ohland, Jordana F. Vieira
      A BEM formulation to perform elastic analysis of heterogeneous microstructures is proposed in the context of multi-scale analysis. The microstructure, also denoted as RVE (Representative Volume Element), is modeled as a zoned plate where voids or inclusions can be considered inside a matrix. Thus, each sub-region represents either the matrix or an inclusion, where different values of Poisson's ratio and Young's modulus can be defined. The RVE equilibrium equation is solved in terms of displacement fluctuations according to the formulation proposed in de Souza Neto and Feijóo (2006). Only elastic behavior is considered for matrix and inclusions, although the proposed model can be extended to consider dissipative phenomena. To make the micro-to-macro transition necessary in a multi-scale analysis, the homogenized values for stress and constitutive tensor have to be computed adopting homogenization techniques. Some numerical examples of heterogeneous microstructures are presented and compared to a FEM model to show the accuracy of the proposed model.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.006
      Issue No: Vol. 87 (2017)
       
  • Pressure response and production performance of volumetric fracturing
           horizontal well in shale gas reservoir based on boundary element method
    • Authors: Peng Chen; Shan Jiang; Yan Chen; Kun Zhang
      Pages: 66 - 77
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Peng Chen, Shan Jiang, Yan Chen, Kun Zhang
      The stimulated reservoir volume (SRV) creates a complex fracture network around the horizontal well in shale reservoirs, which significantly increases the gas well production. This paper considers gas desorption and multi-scale flow effects, and proposes a composite model with a double porosity continuum medium in the fractured area and a single porosity medium in the unfractured region. By employing the Laplace transform, source function theory, Green formula and boundary element theory, a semi-analytical solution of transient pressure is obtained in the volumetric fracturing reservoir with an arbitrary fractured region. The transient pressure and production performance of a volumetric fracturing horizontal well in the real space are obtained by means of Stehfest numerical inversion. Certain influences of relevant parameters on the performance of volumetric fracturing horizontal well are discussed. These parameters include the shape and size of the fractured region, hydraulic fracture number and length, permeability correction coefficient, and gas desorption coefficient. We demonstrate that these parameters have differing effects on the performance of the well. The results provided in this paper will aid in understanding the transient performance of a volumetric fracturing horizontal well in shale gas reservoirs, and promote the development of unconventional reservoirs.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.013
      Issue No: Vol. 87 (2017)
       
  • Phase field simulation of Rayleigh–Taylor instability with a
           meshless method
    • Authors: Nazia Talat; Boštjan Mavrič; Vanja Hatić; Saša Bajt; Božidar Šarler
      Pages: 78 - 89
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Nazia Talat, Boštjan Mavrič, Vanja Hatić, Saša Bajt, Božidar Šarler
      The purpose of this paper is a numerical study of Rayleigh–Taylor instability problem in two dimensions, based on phase-field (PF) formulation and diffuse approximate method (DAM) meshless solution procedure, enabling single-domain fixed-node approach for coping with moving boundary problems. The problem is formulated based on three physically different models that reduce to solving Cahn–Hilliard equation in addition to the Navier–Stokes equations for incompressible fluids. The governing equations are solved by using explicit time discretization. DAM is structured with second order polynomial basis, Gaussian weighting, upwinding and local domain support. The pressure–velocity coupling is performed by the fractional step method. The assessment of the method is carried out based on different node density, weighting, and the size of the local domain support. The novel approach is verified by reproducing the boundary dynamics, consistent with the previously published results. A detailed comparison with the volume of fluid finite volume approach is presented. The combination of PF and DAM provides a valuable numerical tool for solving immiscible convective hydrodynamics problems. The paper represents a pioneering attempt in solution of Rayleigh–Taylor instability problem by a meshless solution of the phase-field formulation of the problem.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.015
      Issue No: Vol. 87 (2017)
       
  • Nonlinear bending analysis of nonlocal nanoplates with general shapes and
           boundary conditions by the boundary-only method
    • Authors: Monchai Panyatong; Boonme Chinnaboon; Somchai Chucheepsakul
      Pages: 90 - 110
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Monchai Panyatong, Boonme Chinnaboon, Somchai Chucheepsakul
      In this paper, the geometrically nonlinear bending analysis of nanoplates with general shapes and boundary conditions is highlighted. The governing equations are derived based on the classical plate theory using nonlocal differential constitutive relation of Eringen and von Kármán's nonlinear strains. The boundary-only method is developed by using the principle of the analog equation (PAE). According to the PAE, the original governing differential equations are replaced by three uncoupled equations with fictitious sources under the same boundary conditions, namely two Poisson equations and one biharmonic equation. Subsequently, the fictitious sources are established using a technique based on the boundary element method and approximated by using the radial basis functions. The solution of the actual problem is attained from the known integral representations of the potential and plate problems. Therefore, the kernels of the boundary integral equations are conveniently established and readily calculated that the complex nanoplates can be easily analyzed. The accuracy of the proposed methodology is evaluated by comparing the obtained results with available solutions. Moreover, the influences of nonlocal parameter on the various characteristics of effective distributed loads are elucidated. Finally, the effects of nonlocal parameter, von Kármán's nonlinearity and aspect ratio on nonlinear bending responses are studied.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.12.003
      Issue No: Vol. 87 (2017)
       
  • Stability analysis of the thin plates with arbitrary shapes subjected to
           non-uniform stress fields using boundary element and radial integration
           methods
    • Authors: L. Najarzadeh; B. Movahedian; M. Azhari
      Pages: 111 - 121
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): L. Najarzadeh, B. Movahedian, M. Azhari
      In this paper, a boundary element method is applied to buckling analysis of thin plates with arbitrary shapes under various load types. The governing differential equation is converted into equivalent integral equation using the static fundamental solutions of the biharmonic equation. The arising domain integrals due to in-plane stresses are evaluated applying the radial integration method. The in-plane stresses are implemented through Gaussian integration points along radial direction in the convex domains. For the concave domains, an idea has been introduced to compute radial integration along new direction from an auxiliary point to the field point. This method can be easily applied to buckling analysis of thin plates with arbitrarily distributed and concentrated edge loading. Six sample problems are presented to illustrate the effectiveness and accuracy of the proposed method.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.010
      Issue No: Vol. 87 (2017)
       
  • Stabilized FEM–BEM coupled solution of MHD pipe flow in an unbounded
           conducting medium
    • Authors: S. Han Aydın; H. Selvitopi
      Pages: 122 - 132
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): S. Han Aydın, H. Selvitopi
      In this study, we have considered the Magnetohydrodynamic (MHD) flow in a pipe with a circular or square cross section around a conducting solid and in an insulating or conducting medium. An external magnetic field is applied with an angle α with the axis of the pipe. The mathematical model of the considered physical problem can be defined in terms of coupled MHD equations in the pipe domain and the Laplace equations on the solid and external mediums. Due to the unbounded external domain and coupled form of the MHD equations, the FEM and BEM coupling approach is used which has many advantages in the view of discretization, computational time and stabilization. In the solution procedure, the fluid domain is discretized by the FEM elements, and the boundaries of the solid and the conducting mediums by the BEM elements. Proposed coupled numerical scheme is tested especially for the high values of the problem parameters and obtained stable solutions are displayed in terms of figures.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.011
      Issue No: Vol. 87 (2017)
       
  • Boundary Element Method for the dynamic evolution of intra-tow voids in
           dual-scale fibrous reinforcements using a Stokes–Darcy formulation
    • Authors: Iván Patiño Arcila; Henry Power; César Nieto Londoño; Whady Flórez Escobar
      Pages: 133 - 152
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Iván Patiño Arcila, Henry Power, César Nieto Londoño, Whady Flórez Escobar
      The Boundary Element Method (BEM) is implemented in the simulation of compression, displacement, migration and splitting of intra-tow voids in dual-scale fibrous reinforcements. The last three processes have not been simulated at mesoscopic scale in previous works due to the consideration of a constant pressure in the channels of the Representative Unitary Cell. In this work, both the channels and tows are modeled using the Stokes and Darcy equations, respectively, a pressure gradient is prescribed along the fluid motion, and full air compressibility is deemed, thereby allowing to consider these three processes. The void migration process from the weft towards the channel is analyzed in terms of the ratio between the average air migration velocity and the average liquid velocity, and of the normalized air rate from the weft towards the channel. According to BEM results, the bubble can migrate at both lower and higher velocities with respect to the liquid velocity, and the void removal out of the tows can occur after several stages of compression–displacement–migration–splitting; additionally, the bubble breaks up after several cycles of expansion and compression. BEM results also show that the liquid surface tension, pressure gradient and average channel pressure have important influence in the void migration process.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.014
      Issue No: Vol. 87 (2017)
       
  • Nonlinear thermal buckling analyses of functionally graded plates by a
           mesh-free radial point interpolation method
    • Authors: Vuong Nguyen Van Do; Minh Tung Tran; Chin-Hyung Lee
      Pages: 153 - 164
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Vuong Nguyen Van Do, Minh Tung Tran, Chin-Hyung Lee
      This study intends to analyze nonlinear buckling behavior of functionally graded (FG) plates under thermal loading by a mesh-free method. The buckling formulation is derived based on the higher-order shear deformation plate theory in which the von Kármán large deflection assumption is employed. An improved mesh-free radial point interpolation method (RPIM) which incorporates the normalized radial basis function capable of building the shape functions without any fitting parameters is presented and utilized to scrutinize the buckling responses. The nonlinear equations are solved by the modified Newton–Raphson iterative technique. Verification of the improved RPIM is implemented by simulating several numerical examples available in the literature and comparing the outcomes with the analytical results. Detailed parametric studies demonstrate that the improved mesh-free RPIM can effectively predict the thermal buckling responses of FG plates, and the volume fraction, plate length-to-thickness ratio, aspect ratio, boundary condition have considerable effects on the critical buckling temperatures of FG plates subjected to various types of temperature variations through the thickness.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.12.001
      Issue No: Vol. 87 (2017)
       
  • A node-based partly smoothed point interpolation method (NPS-PIM) for
           dynamic analysis of solids
    • Authors: Guiyong Zhang; Huan Lu; Dapeng Yu; Zhenming Bao; Haiying Wang
      Pages: 165 - 172
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Guiyong Zhang, Huan Lu, Dapeng Yu, Zhenming Bao, Haiying Wang
      Traditional finite element method (FEM) using linear triangular element is overly-stiff and generally natural frequencies calculated would be too high. The newly developed node-based smoothed point interpolation method (NS-PIM) has overly-soft stiffness, which makes it provide natural frequencies smaller than the exact ones and has the problem of temporally instability. So this work proposed a node-based partly smoothed point interpolation method (NPS-PIM) by combing the ideas of both FEM and NS-PIM through node-based partly strain smoothing operation. Owing to the properly constructed stiffness, detailed numerical study has shown that the NPS-PIM not only successfully overcomes the temporal instability existing in the NS-PIM, but also provides more accurate results than both FEM and NS-PIM models. The use of linear triangular background cells makes the present method very competitive for solving practical engineering problems with complicated shapes.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.12.002
      Issue No: Vol. 87 (2017)
       
  • Improved Kansa RBF method for the solution of nonlinear boundary value
           problems
    • Authors: Malgorzata A. Jankowska; Andreas Karageorghis; C.S. Chen
      Pages: 173 - 183
      Abstract: Publication date: February 2018
      Source:Engineering Analysis with Boundary Elements, Volume 87
      Author(s): Malgorzata A. Jankowska, Andreas Karageorghis, C.S. Chen
      We apply the Kansa–radial basis function (RBF) collocation method to two-dimensional nonlinear boundary value problems. In it, the solution is approximated by a linear combination of RBFs and the governing equation and boundary conditions are satisfied in a collocation sense at interior and boundary points, respectively. The nonlinear system of equations resulting from the Kansa–RBF discretization for the unknown coefficients in the RBF approximation is solved by directly applying a standard nonlinear solver. In a natural way, the value of the shape parameter in the RBFs employed in the approximation may be included in the unknowns to be determined. The numerical results of several examples are presented and analyzed.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.11.012
      Issue No: Vol. 87 (2017)
       
  • A radial basis function method for fractional Darboux problems
    • Authors: Chandhini G.; Prashanthi K.S.; V. Antony Vijesh
      Pages: 1 - 18
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Chandhini G., Prashanthi K.S., V. Antony Vijesh
      In this paper, a radial basis function (RBF) collocation known as Kansa’s method has been extended to solve fractional Darboux problems. The fractional derivatives are described in the Caputo sense. Integration of radial functions that appears due to fractional derivatives have been dealt using Gauss–Jacobi quadrature method. The equation has been linearized using successive approximation. A few test problems have been solved and compared with available solutions. The effect of RBF shape parameter on accuracy and convergence has also been discussed.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.001
      Issue No: Vol. 86 (2017)
       
  • An edge-based smoothed numerical manifold method and its application to
           static, free and forced vibration analyses
    • Authors: Feng Liu; Changyi Yu; Yongtao Yang
      Pages: 19 - 30
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Feng Liu, Changyi Yu, Yongtao Yang
      As a partition of unity (PU) method, the numerical manifold method (NMM) is able to solve continuous and discontinuous problems in a unified manner. However, the accuracy obtained through the traditional NMM (t-NMM) is far from satisfactory, because the strain distribution is constant in each manifold element. To improve the performance of the t-NMM without adding extra nodes or DOFs, the edge-based smoothing technique, which has been applied in the edge-based finite element method (ES-FEM), is incorporated into the t-NMM, resulting in an edge-based smoothed numerical manifold method (ES-NMM). Formulation of the ES-NMM for static, free and forced vibration analyses are presented in great detail. The numerical examples of static, free and forced vibration problems show that the ES-NMM possesses several advantages over the t-NMM, including the close-to-exact stiffness, superconvergence, and ultra-accuracy.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.006
      Issue No: Vol. 86 (2017)
       
  • Dynamic impedance functions for a rigid strip footing resting on a
           multi-layered transversely isotropic saturated half-space
    • Authors: Zhenning Ba; Jianwen Liang; Vincent W. Lee; Zeqing Kang
      Pages: 31 - 44
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Zhenning Ba, Jianwen Liang, Vincent W. Lee, Zeqing Kang
      This paper is concerned with the dynamic impedance functions (force-displacement relationships) of a surface rigid strip footing resting on a multi-layered transversely isotropic (TI) saturated half-space. The rigid footing is perfectly bonded to the layered half-space and is subjected to time-harmonic vertical, horizontal and moment loadings. The half-space under consideration consists of a number of horizontal layers with different thicknesses and an underlying half-space, which are all governed by the Biot's poroelastodynamic theory. The surface of the half-space can be either fully permeable or impermeable. The dynamic interaction problem is solved by employing an indirect boundary element method (IBEM), which uses Green's functions for uniform strip loads acting on the surface of a multi-layered TI saturated half-space. The discretization of the method is restricted to the footing-subsoil interface because of the layered half-space kernel functions, and the accuracy of the method would not be affected by the thickness of the discrete layers because of the exact dynamic stiffness matrix. Comparison with the existing solutions for the TI elastic and isotropic saturated media is conducted to verify the method, which are special cases of the more general problems addressed. Selected numerical solutions are presented to portray the influence of material anisotropy, frequency of excitation, surfaced drainage condition and layering on the dynamic impedance functions. Numerical results show that the dynamic impedance functions for the TI material can be significantly different from those of the isotropic material. The variation of the TI parameters alters the resonant frequencies of the layer and further alters the dynamic interaction between the layer and the footing.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.009
      Issue No: Vol. 86 (2017)
       
  • Modelling transient heat conduction of granular materials by numerical
           manifold method
    • Authors: Jun He; Quansheng Liu; Zhijun Wu; Xiangyu Xu
      Pages: 45 - 55
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Jun He, Quansheng Liu, Zhijun Wu, Xiangyu Xu
      Modelling heat conduction is of significant importance for evaluating temperature effects of granular materials. Since the randomness of the grain structure and the heat resistance characteristics of grain interfaces, to realistically modelling the heat conduction of granular materials, the heat interactive among these random-shaped grains should be correctly reflected. In this study, the numerical manifold method (NMM) is extended to model the transient heat conduction of granular materials. The random-shaped grain structure of granular materials is represented with Voronoi polygons. The heat interactive among grains is realistically simulated by inserting heat conductive cohesive elements between grain boundaries. Besides, an interfacial heat conductivity is defined for the cohesive element to better represent the heat conduct capacity of grain interfaces. As a result, the temperature jumps at grain interfaces are naturally captured due to the dual cover systems of the NMM, while the heat fluxes across the interfaces are assumed to be continuous. To validate the developed numerical method, a benchmark test is carried out. At last, effects of the grain characteristics and interfacial heat resistance on the temperature field as well as the effective heat conductivity (EHC) of a plane consists of granular material are investigated by the developed NMM.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.011
      Issue No: Vol. 86 (2017)
       
  • A homogenization boundary function method for determining inaccessible
           boundary of a rigid inclusion for the Poisson equation
    • Authors: Chein-Shan Liu; Dongjie Liu
      Pages: 56 - 63
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Chein-Shan Liu, Dongjie Liu
      In this paper, the problem for determining the inner boundary of the Poisson equation in an arbitrary doubly-connected plane domain is solved, which recovers an unknown inner boundary of a rigid inclusion under the over-specified Cauchy data on the accessible outer boundary. First, a homogenization function is derived to annihilate the Dirichlet and Neumann data over-specified on the outer boundary. Second, a new concept of boundary functions is introduced, which automatically satisfy the homogeneous boundary conditions on the outer boundary. Besides the lowest order elementary boundary function, other higher-order boundary functions are obtained by multiplying the elementary boundary function to the Pascal triangle. Then, by a homogenization technique we can obtain a transformed Poisson equation in a reduced doubly-connected domain in terms of the transformed variable and solve it by the domain type collocation method, whose numerical solution is expanded by a sequence of boundary functions. The nonlinear equation for determining the unknown inner boundary is derived, which is convergent fast. The accuracy and robustness of present homogenization boundary function method are assessed through five numerical examples, by comparing the exact inner boundary to the recovered one under a large noisy disturbance.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.012
      Issue No: Vol. 86 (2017)
       
  • On singular ES-FEM for fracture analysis of solids with singular stress
           fields of arbitrary order
    • Authors: Sauradeep Bhowmick; GR. Liu
      Pages: 64 - 81
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Sauradeep Bhowmick, GR. Liu
      The singular edge-based smoothed finite element method (sES-FEM) using triangular (T3) mesh with a special layer of five-noded singular elements (sT5) connected to the singular point, was proposed to model fracture problems in solids. This paper aims to extend the previous studies on singular fields of any order from −0.5 to 0, by developing an analytical means for integration to obtain the smoothed strains. We provide a more efficient practical formulae to estimate the stress intensity factor(SIF) for singular fields of mentioned order. The sT5 element has an additional node at each of the two edges connected to the crack tip, and the displacements are enriched with necessary terms to simulate the singularity. A weakened weak (W2) formulation is used to avoid the differentiation to the assumed displacement functions. The stiffness matrix is computed by using the smoothed strains calculated analytically from the enriched shape functions. Furthermore, our analytical integration techniques reduces the dependency on the order of numerical integration during the computation of the smoothed strain matrix. Several examples have been presented to demonstrate the reliability of the proposed method, excellent agreement between numerical results and reference observations shows that sES-FEM is an efficient numerical tool for predicting the SIF for singular fields.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.013
      Issue No: Vol. 86 (2017)
       
  • Expanding element interpolation method for analysis of thin-walled
           structures
    • Authors: Jianming Zhang; Yudong Zhong; Yunqiao Dong; Weicheng Lin
      Pages: 82 - 88
      Abstract: Publication date: January 2018
      Source:Engineering Analysis with Boundary Elements, Volume 86
      Author(s): Jianming Zhang, Yudong Zhong, Yunqiao Dong, Weicheng Lin
      An expanding element is obtained by adding virtual nodes along the perimeter of the traditional discontinuous element. There are two kinds of shape functions in the expanding element: (i) the raw shape function, i.e. shape function of the original discontinuous element, involving only inner nodes; (ii) the fine shape function, which involves all the nodes including inner nodes and the newly added virtual nodes. The polynomial order of fine shape functions of the expanding elements increases by two compared with their corresponding raw shape functions. In this paper, we apply the expanding element interpolation method to analysis of thin-walled structures. An adaptive element subdivision method for evaluating nearly singular integrals is proposed. Numerical results have demonstrated that our method has high level of accuracy and is able to analyze very slender structures with the aspect ratio up to 1e6.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.014
      Issue No: Vol. 86 (2017)
       
  • Exact evaluation of hydrodynamic loads on ships using NURBS surfaces and
           acceleration potential
    • Authors: Arash Abbasnia; C. Guedes Soares
      Pages: 1 - 12
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): Arash Abbasnia, C. Guedes Soares
      The development of an accurate surface intersecting methodology and adaptive acceleration potential scheme, in order to precisely compute pressure on the wet surface of ships hulls, is presented. Non-Uniform Rational B-Spline (NURBS) surfaces are used to describe the ships hulls and the free surface evolutions. The intersection of free surface with ship hull is found by solving the resultant system of equations yielded from surface intersecting scheme. The pressure distribution over the exact wet surface of ship hull surface is obtained based on acceleration potential in a time domain simulation. Hence, implicit body boundary condition is applied to evaluate the time derivative of velocity potential on the hull surface in a fully nonlinear numerical wave tank. On the other hand, tangential derivatives of the velocity potential on the wet surface are approximated by B-Spline surface. Wave propagation is considered to examine the accuracy and convergence of the present solution. Motions of a Wigley hulls in linear wave are compared with experimental measurements and prior numerical solutions to verify the present numerical procedure. Also, fully nonlinear motions of a Wigley hull in nonlinear wave is simulated.

      PubDate: 2017-10-02T09:49:27Z
      DOI: 10.1016/j.enganabound.2017.09.005
      Issue No: Vol. 85 (2017)
       
  • An efficient high order plane wave time domain algorithm for transient
           electromagnetic scattering analysis
    • Authors: G.S. Cheng; Z.H. Fan; D.Z. Ding; R.S. Chen
      Pages: 13 - 19
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): G.S. Cheng, Z.H. Fan, D.Z. Ding, R.S. Chen
      An efficient high order plane wave time domain algorithm is presented for analyzing the transient scattering from three dimensional electrically large conducting objects. This method uses a set of hierarchical divergence-conforming vector basis functions to accurately represent the current distribution on the perfect electrically conducting (PEC) surface. The higher order functions can significantly reduce the number of unknowns without compromise on the accuracy. The time domain combined field integral equation (TD-CFIE) is then discretized using the hierarchical divergence-conforming vector basis functions and shifted Lagrange polynomial functions in spatial and time domain, respectively. The final matrix equation can be accelerated using the plane wave time domain (PWTD) algorithm. Finally, a parallel algorithm that can execute on a distributed-memory parallel cluster is developed, which provides an appealing avenue for analyzing the transient scattering from three-dimensional electrically large complex PEC objects. Numerical examples are given to demonstrate the accuracy and efficiency of the method.

      PubDate: 2017-10-02T09:49:27Z
      DOI: 10.1016/j.enganabound.2017.09.004
      Issue No: Vol. 85 (2017)
       
  • Scaled boundary isogeometric analysis for electrostatic problems
    • Authors: Binghan Xue; Gao Lin; Zhiqiang Hu
      Pages: 20 - 29
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): Binghan Xue, Gao Lin, Zhiqiang Hu
      The scaled boundary isogeometric analysis (SBIGA) is a novel semi-analytical technique, combing the advantages of the scaled boundary finite element method and the isogeometric analysis. In this paper, SBIGA is firstly exploited to solve electrostatic problems. According to the Laplace equation of electrostatic problems, the derivations and solutions of SBIGA equations for bounded domain and open domain problems are presented in details. A mortar method is employed to couple the solution on different subdomains, when the electrostatic problems with inhomogeneous media or complex boundaries which cannot be described by a single NURBS patch or cannot satisfy the scaling requirement in SBIGA. The mortar-based SBIGA can retain the flexibility of interface meshes compared with strong coupling methods. A condensation scheme is exploited to treat system equation in the analysis. Several numerical examples confirm the effectiveness, accuracy and convergence properties of SBIGA and the mortar-based SBIGA in solving electrostatic problems.

      PubDate: 2017-10-10T10:38:42Z
      DOI: 10.1016/j.enganabound.2017.09.012
      Issue No: Vol. 85 (2017)
       
  • Numerical simulation of crack growth in piezoelectric structures by BEM
    • Authors: Jun Lei; Lili Yun; Tinh Quoc Bui
      Pages: 30 - 42
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): Jun Lei, Lili Yun, Tinh Quoc Bui
      In this paper, a dual boundary element computer program is developed for numerical simulation of a crack propagating in piezoelectric plates under a combined quasi-static electric and mechanical loading. To determine the crack growth path, two fracture criteria are taken into account: the maximum of hoop stress intensity factor (HSIF) and hoop mechanical strain energy release rate (HMERR). By using the displacement extrapolation method, these fracture parameters of any small kinked crack branch are obtained and validated by comparing with the available analytical results. The critical fracture loads for some test specimens are numerically analyzed based on the maximum HMERR fracture criterion. Different electrical boundary conditions on the crack faces are considered and checked with the experimental data. Finally, one crack or a pair of cracks propagating in infinite or finite piezoelectric plates is numerically simulated. The influences of the loading conditions, the anisotropic fracture toughness and the interaction between the cracks on the crack growth paths are also studied. The comparisons with the exiting finite element results show the accuracy and efficiency of the present BEM program for numerical simulation of crack growth in piezoelectric materials.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.09.015
      Issue No: Vol. 85 (2017)
       
  • An efficient method for predicting train-induced vibrations from a tunnel
           in a poroelastic half-space
    • Authors: Shunhua Zhou; Chao He; Honggui Di; Peijun Guo; Xiaohui Zhang
      Pages: 43 - 56
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): Shunhua Zhou, Chao He, Honggui Di, Peijun Guo, Xiaohui Zhang
      This paper presents an efficient method for the prediction of vibrations induced by underground railways in a poroelastic half-space. The proposed method accounts for both the saturated porous characteristic of the soil and the free surface effect. An analytical tunnel model, which is coupled with a train-track system, is firstly developed to calculate the dynamic response of the tunnel–soil interface in a poroelastic full-space. By assuming that the near field response of the tunnel is not affected by the existence of the free surface, vibrations of the poroelastic half-space is then calculated by the two-and-a-half-dimensional (2.5-D) boundary integral equation for saturated porous media along with the Green's function for a poroelastic half-space. Soil vibrations generated by the quasi-static and dynamic train load are presented. It is found that an increase of the soil permeability leads to a decrease of the soil displacement. A saturated soil model may be more suitable for calculating the train-induced vibration in water-rich region. Isolation effectiveness of a float slab is also investigated. The simulation results show that floating the track slab can moderately induces the ground vibration, but also causes more transmission of vibration under certain conditions.

      PubDate: 2017-10-10T10:38:42Z
      DOI: 10.1016/j.enganabound.2017.09.013
      Issue No: Vol. 85 (2017)
       
  • Effect of shear deformation on the buckling parameter of perforated and
           non-perforated plates studied using the boundary element method
    • Authors: R.A. Soares; L. Palermo
      Pages: 57 - 69
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): R.A. Soares, L. Palermo
      The buckling parameter is a non-dimensional value that typically represents the type of plate boundary condition (e.g., clamped edge, free edge) and is obtained from the critical load and geometrical data. This study investigates the variations in the buckling parameter based on plate slenderness considering the effect of shear deformation in the bending model used for buckling analyses. An alternative boundary element formulation using two integrals containing the geometrical non-linearity (GNL) effect, with one computed on the domain and the other computed on the boundary, is employed. The kernels of integrals related to the GNL effect contain the first derivatives of deflection instead of the second derivatives, and no relation is required for the derivatives of the in-plane forces. This formulation improves the numerical model for free edges or symmetry conditions corresponding to the relationship of one of the natural conditions of the buckling problem to the boundary integral containing the GNL effect. The values obtained for the buckling parameters in plates containing or not containing a hole are compared with the expected values from the literature.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.09.008
      Issue No: Vol. 85 (2017)
       
  • Analytical derivation and numerical experiment of degenerate scale by
           using the degenerate kernel of the bipolar coordinates
    • Authors: Jeng-Tzong Chen; Shing-Kai Kao; Jia-Wei Lee
      Pages: 70 - 86
      Abstract: Publication date: December 2017
      Source:Engineering Analysis with Boundary Elements, Volume 85
      Author(s): Jeng-Tzong Chen, Shing-Kai Kao, Jia-Wei Lee
      Degenerate scales of an eccentric annulus and an infinite plane with two identical circular holes in the boundary integral equation method (BIEM) are analytically derived and numerically implemented in this paper. To analytically study the degenerate scale of the BIE, the closed-form fundamental solution of the two-dimensional Laplace equation, ln r, is expanded by a degenerate (separate) kernel in terms of the bipolar coordinates. It is proved that unit radius of the outer circle dominates the degenerate scale of eccentric annulus. An analytical formula of degenerate scale for the infinite plane with two identical circular boundaries was also derived at the first time. In addition, null fields of the domain and complementary domain for the ordinary and degenerate scales are both shown, respectively. Finally, comparison with available results and the BEM data are well done.

      PubDate: 2017-10-14T10:55:16Z
      DOI: 10.1016/j.enganabound.2017.08.006
      Issue No: Vol. 85 (2017)
       
  • Solution of multi-dimensional Klein–Gordon–Zakharov and
           Schrödinger/Gross–Pitaevskii equations via local Radial Basis
           Functions–Differential Quadrature (RBF–DQ) technique on
           non-rectangular computational domains
    • Authors: Mehdi Dehghan; Mostafa Abbaszadeh
      Abstract: Publication date: Available online 6 December 2017
      Source:Engineering Analysis with Boundary Elements
      Author(s): Mehdi Dehghan, Mostafa Abbaszadeh
      In the current investigation, we develop an efficient truly meshless technique for solving two models in optic and laser engineering i.e. Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations in one- two- and three-dimensional cases. The employed meshless is the upwind local radial basis functions-differential quadrature (LRBF-DQ) technique. The spacial direction is discretized using the LRBF-DQ method and also to obtain high-order numerical results, the fourth-order exponential time differencing Runge-Kutta method (ETDRK4) planned by Liang et al. [37] is applied to discrete the temporal direction. To show the efficiency of the proposed method, we solve the mentioned models on some complex shaped domains. Moreover, several examples are given and simulation results show the acceptable accuracy and efficiency of the proposed scheme.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.016
       
  • A naturally stabilized nodal integration meshfree formulation for carbon
           nanotube-reinforced composite plate analysis
    • Authors: Chien H. Thai; A.J.M. Ferreira; T. Rabczuk; H. Nguyen-Xuan
      Abstract: Publication date: Available online 6 December 2017
      Source:Engineering Analysis with Boundary Elements
      Author(s): Chien H. Thai, A.J.M. Ferreira, T. Rabczuk, H. Nguyen-Xuan
      Naturally stabilized nodal integration (NSNI) meshfree formulations associated with the higher-order shear deformation plate theory (HSDT) are proposed to analyze bending and free vibration behaviors of carbon nanotube-reinforced composite (CNTRC) plates. An extended rule of mixture is used to compute the effective material properties of CNTRC plates. The uniform and functionally graded distributions of carbon nanotube (CNTs) via the plate thickness are studied. In the present approach, gradient strains are directly computed at nodes similar to the direct nodal integration (DNI). Outstanding features of the current approach are to alleviate instability solutions in the DNI and to significantly decrease computational cost as compared to the traditional high-order Gauss quadrature scheme. Discrete equations for bending and free vibration analyses are obtained by variational consistency in the Galerkin weak form. Enforcing essential boundary conditions is completely similar to the finite element method (FEM) due to satisfying the Kronecker delta function property of moving Kriging integration shape functions. Numerical validations with various complex geometries, stiffness ratios, volume fraction of CNTs and boundary conditions are given to show the efficiency of the present approach.

      PubDate: 2017-12-27T03:09:58Z
      DOI: 10.1016/j.enganabound.2017.10.018
       
 
 
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