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  Subjects -> ENGINEERING (Total: 2255 journals)
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ENGINEERING (1203 journals)            First | 1 2 3 4 5 6 7 | Last

Showing 401 - 600 of 1205 Journals sorted alphabetically
IET Radar, Sonar & Navigation     Hybrid Journal   (Followers: 21)
IET Renewable Power Generation     Hybrid Journal   (Followers: 9)
IET Science, Measurement & Technology     Hybrid Journal   (Followers: 2)
IET Signal Processing     Hybrid Journal   (Followers: 14)
IETE Journal of Research     Open Access   (Followers: 8)
IETE Technical Review     Open Access   (Followers: 6)
IIE Transactions     Hybrid Journal   (Followers: 2)
IIUM Engineering Journal     Open Access  
Implementation Science     Open Access   (Followers: 13)
Indian Journal of Biotechnology (IJBT)     Open Access   (Followers: 2)
Industrial Data     Open Access  
Industrie et Technologies     Full-text available via subscription   (Followers: 17)
InfoCiencia     Open Access  
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Ingenio Magno     Open Access  
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Innovare : Revista de ciencia y tecnología     Open Access  
Instrumentation Science & Technology     Hybrid Journal   (Followers: 6)
Integration, the VLSI Journal     Hybrid Journal   (Followers: 4)
Intelligent Control and Automation     Open Access   (Followers: 4)
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 6)
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Intermetallics     Hybrid Journal   (Followers: 23)
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International Communications in Heat and Mass Transfer     Hybrid Journal   (Followers: 12)
International conference KNOWLEDGE-BASED ORGANIZATION     Open Access  
International Heat Treatment and Surface Engineering     Hybrid Journal   (Followers: 2)
International Journal for Numerical Methods in Engineering     Hybrid Journal   (Followers: 28)
International Journal for Numerical Methods in Fluids     Hybrid Journal   (Followers: 19)
International Journal for Simulation and Multidisciplinary Design Optimization     Full-text available via subscription  
International Journal for the History of Engineering & Technology     Hybrid Journal   (Followers: 6)
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Adaptive Control and Signal Processing     Hybrid Journal   (Followers: 2)
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International Journal of Advances in Engineering Sciences and Applied Mathematics     Hybrid Journal   (Followers: 1)
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International Journal of Aerodynamics     Hybrid Journal   (Followers: 13)
International Journal of Aerospace Innovations     Full-text available via subscription   (Followers: 13)
International Journal of Air-Conditioning and Refrigeration     Hybrid Journal   (Followers: 5)
International Journal of Antennas and Propagation     Open Access   (Followers: 7)
International Journal of Applied Ceramic Technology     Hybrid Journal   (Followers: 7)
International Journal of Applied Power Engineering     Open Access   (Followers: 4)
International Journal of Architectural Computing     Full-text available via subscription   (Followers: 3)
International Journal of Automation and Control Engineering     Open Access   (Followers: 2)
International Journal of Automotive Technology and Management     Hybrid Journal   (Followers: 5)
International Journal of Autonomic Computing     Hybrid Journal   (Followers: 1)
International Journal of Autonomous and Adaptive Communications Systems     Hybrid Journal   (Followers: 4)
International Journal of Basic and Applied Sciences     Open Access   (Followers: 4)
International Journal of Bifurcation and Chaos     Hybrid Journal   (Followers: 2)
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International Journal of Biomedical Imaging     Open Access   (Followers: 5)
International Journal of Cast Metals Research     Hybrid Journal  
International Journal of Circuit Theory and Applications     Hybrid Journal   (Followers: 2)
International Journal of Coal Science & Technology     Open Access   (Followers: 1)
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International Journal of Corrosion     Open Access   (Followers: 10)
International Journal of Crashworthiness     Hybrid Journal   (Followers: 6)
International Journal of Design Engineering     Hybrid Journal   (Followers: 14)
International Journal of Digital Multimedia Broadcasting     Open Access   (Followers: 5)
International Journal of Education and Management Engineering     Open Access   (Followers: 2)
International Journal of Education Economics and Development     Hybrid Journal   (Followers: 3)
International Journal of Embedded Systems     Hybrid Journal   (Followers: 3)
International Journal of Emerging Multidisciplinary Fluid Sciences     Full-text available via subscription  
International Journal of Energy Optimization and Engineering     Hybrid Journal   (Followers: 3)
International Journal of Engine Research     Hybrid Journal   (Followers: 1)
International Journal of Engineering & Technology     Open Access   (Followers: 4)
International Journal of Engineering and Manufacturing     Open Access   (Followers: 1)
International Journal of Engineering Education     Full-text available via subscription   (Followers: 6)
International Journal of Engineering Management and Economics     Hybrid Journal   (Followers: 3)
International Journal of Engineering Mathematics     Open Access  
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: 1)
International Journal of Engineering Science     Hybrid Journal   (Followers: 6)
International Journal of Engineering Systems Modelling and Simulation     Hybrid Journal   (Followers: 7)
International Journal of Engineering, Science and Technology     Open Access  
International Journal of Engineering, Social Justice, and Peace     Open Access   (Followers: 5)
International Journal of Environmental Engineering     Hybrid Journal   (Followers: 6)
International Journal of Experimental Design and Process Optimisation     Hybrid Journal   (Followers: 5)
International Journal of Fatigue     Hybrid Journal   (Followers: 36)
International Journal of Flow Control     Full-text available via subscription   (Followers: 3)
International Journal of Foresight and Innovation Policy     Hybrid Journal   (Followers: 7)
International Journal of Fracture     Hybrid Journal   (Followers: 10)
International Journal of Geo-Engineering     Open Access  
International Journal of Geotechnical Engineering     Hybrid Journal   (Followers: 4)
International Journal of Grid and Utility Computing     Hybrid Journal  
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 31)
International Journal of Heat and Mass Transfer     Hybrid Journal   (Followers: 133)
International Journal of Heavy Vehicle Systems     Hybrid Journal   (Followers: 6)
International Journal of Hypersonics     Full-text available via subscription   (Followers: 4)
International Journal of Imaging Systems and Technology     Hybrid Journal   (Followers: 1)
International Journal of Impact Engineering     Hybrid Journal   (Followers: 8)
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     Full-text available via subscription   (Followers: 8)
International Journal of Innovative Technology and Research     Open Access   (Followers: 1)
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: 2)
International Journal of Lifecycle Performance Engineering     Hybrid Journal   (Followers: 1)
International Journal of Machine Tools and Manufacture     Hybrid Journal   (Followers: 5)
International Journal of Manufacturing Research     Hybrid Journal   (Followers: 6)
International Journal of Manufacturing Technology and Management     Hybrid Journal   (Followers: 8)
International Journal of Materials and Product Technology     Hybrid Journal   (Followers: 4)
International Journal of Mathematical Education in Science and Technology     Hybrid Journal   (Followers: 8)
International Journal of Mathematics in Operational Research     Hybrid Journal  
International Journal of Medical Engineering and Informatics     Hybrid Journal   (Followers: 3)
International Journal of Micro Air Vehicles     Full-text available via subscription   (Followers: 5)
International Journal of Microwave and Wireless Technologies     Hybrid Journal   (Followers: 2)
International Journal of Microwave Science and Technology     Open Access   (Followers: 4)
International Journal of Mobile Network Design and Innovation     Hybrid Journal   (Followers: 1)
International Journal of Multiphase Flow     Hybrid Journal   (Followers: 4)
International Journal of Nanomanufacturing     Hybrid Journal  
International Journal of Nanoscience     Hybrid Journal   (Followers: 2)
International Journal of Nanotechnology     Hybrid Journal   (Followers: 4)
International Journal of Nanotechnology and Molecular Computation     Full-text available via subscription   (Followers: 2)
International Journal of Navigation and Observation     Open Access   (Followers: 16)
International Journal of Network Management     Hybrid Journal   (Followers: 1)
International Journal of Nonlinear Sciences and Numerical Simulation     Hybrid Journal  
International Journal of Numerical Methods for Heat & Fluid Flow     Hybrid Journal   (Followers: 9)
International Journal of Optics     Open Access   (Followers: 2)
International Journal of Organisational Design and Engineering     Hybrid Journal   (Followers: 6)
International Journal of Pattern Recognition and Artificial Intelligence     Hybrid Journal   (Followers: 6)
International Journal of Pavement Engineering     Hybrid Journal   (Followers: 4)
International Journal of Physical Modelling in Geotechnics     Hybrid Journal   (Followers: 3)
International Journal of Plasticity     Hybrid Journal   (Followers: 6)
International Journal of Plastics Technology     Hybrid Journal   (Followers: 1)
International Journal of Polymer Analysis and Characterization     Hybrid Journal   (Followers: 5)
International Journal of Polymer Science     Open Access   (Followers: 20)
International Journal of Precision Engineering and Manufacturing     Hybrid Journal   (Followers: 6)
International Journal of Precision Engineering and Manufacturing-Green Technology     Hybrid Journal  
International Journal of Precision Technology     Hybrid Journal  
International Journal of Pressure Vessels and Piping     Hybrid Journal   (Followers: 14)
International Journal of Production Economics     Hybrid Journal   (Followers: 13)
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: 3)
International Journal of Quality Engineering and Technology     Hybrid Journal   (Followers: 2)
International Journal of Quantum Information     Hybrid Journal   (Followers: 2)
International Journal of Rapid Manufacturing     Hybrid Journal   (Followers: 4)
International Journal of Reliability, Quality and Safety Engineering     Hybrid Journal   (Followers: 11)
International Journal of Renewable Energy Technology     Hybrid Journal   (Followers: 8)
International Journal of Robust and Nonlinear Control     Hybrid Journal   (Followers: 3)
International Journal of Science Engineering and Advance Technology     Open Access  
International Journal of Sediment Research     Full-text available via subscription   (Followers: 2)
International Journal of Self-Propagating High-Temperature Synthesis     Hybrid Journal   (Followers: 2)
International Journal of Service Science, Management, Engineering, and Technology     Full-text available via subscription   (Followers: 1)
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: 2)
International Journal of Software Engineering and Knowledge Engineering     Hybrid Journal   (Followers: 3)
International Journal of Space Science and Engineering     Hybrid Journal   (Followers: 3)
International Journal of Speech Technology     Hybrid Journal   (Followers: 7)
International Journal of Spray and Combustion Dynamics     Full-text available via subscription   (Followers: 12)
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: 7)
International Journal of Sustainable Manufacturing     Hybrid Journal   (Followers: 5)
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International Journal of Systems Assurance Engineering and Management     Hybrid Journal  
International Journal of Systems, Control and Communications     Hybrid Journal   (Followers: 3)
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International Journal of Technology Policy and Law     Hybrid Journal   (Followers: 5)
International Journal of Telemedicine and Applications     Open Access   (Followers: 3)
International Journal of Thermal Sciences     Hybrid Journal   (Followers: 10)
International Journal of Thermodynamics     Open Access   (Followers: 7)
International Journal of Turbo & Jet-Engines     Hybrid Journal   (Followers: 3)
International Journal of Ultra Wideband Communications and Systems     Hybrid Journal  
International Journal of Vehicle Autonomous Systems     Hybrid Journal  
International Journal of Vehicle Design     Hybrid Journal   (Followers: 6)
International Journal of Vehicle Information and Communication Systems     Hybrid Journal   (Followers: 2)
International Journal of Vehicle Noise and Vibration     Hybrid Journal   (Followers: 3)
International Journal of Vehicle Safety     Hybrid Journal   (Followers: 5)
International Journal of Vehicular Technology     Open Access   (Followers: 4)
International Journal of Virtual Technology and Multimedia     Hybrid Journal   (Followers: 3)
International Journal of Wavelets, Multiresolution and Information Processing     Hybrid Journal   (Followers: 1)
International Journal on Artificial Intelligence Tools     Hybrid Journal   (Followers: 5)
International Nano Letters     Open Access   (Followers: 6)

  First | 1 2 3 4 5 6 7 | Last

Journal Cover Engineering Analysis with Boundary Elements
  [SJR: 1.216]   [H-I: 42]   [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0955-7997
   Published by Elsevier Homepage  [2970 journals]
  • A boundary element and level set based topology optimisation using
           sensitivity analysis
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): B. Ullah, J. Trevelyan
      The structural topology optimisation method presented in this paper is based on the boundary element method, level set method and shape sensitivity analysis for two-dimensional linear elastic problems. The proposed method automatically nucleates holes within the design domain during the optimisation process using a topological derivative based hole insertion criterion. The level set method is used to provide an implicit description of the structural geometry, which is capable of automatically handling topological changes, i.e. holes merging with each other or with the boundary. During the optimisation process non-uniform rational b-splines are fitted through the zero level set contours, which links an implicit geometry representation to its structural model. In addition, this provides an optimal design in standard CAD format, and without intermediate material densities, which can be directly used in other design processes. The proposed optimisation method is tested against different benchmark examples and the optimal geometries generated are in close agreement those available in the literature of topology optimisation.


      PubDate: 2016-06-27T12:08:15Z
       
  • Editorial Board
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67




      PubDate: 2016-06-27T12:08:15Z
       
  • An efficient nodal integration with quadratic exactness for
           three-dimensional meshfree Galerkin methods
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Bingbing Wang, Qinglin Duan, Yulong Shao, Xikui Li, Dixiong Yang, Hongwu Zhang
      Quadratically consistent nodal integration (QCNI) for three-dimensional meshfree Galerkin methods with second order approximation is presented. The number of integration points is dramatically reduced since the weak form is evaluated only at approximation nodes. The stabilization for such reduced integration stems from the correction of nodal derivatives. Such correction is based on the orthogonality condition between the stress and strain difference in the framework of Hu-Washizu three-field variational principle. Taylor series expansion is employed such that a linear strain field in each background integration cell can be exactly reproduced. Three-dimensional quadratic patch test is exactly passed by QCNI and thus it possesses quadratic exactness. In contrast, the stabilized conforming nodal integration (SCNI) which is so far the most successful nodal integration technique can only reproduce a constant strain field in each integration cell and fails to pass the quadratic patch test. The comprehensive superiorities of the proposed QCNI over the existing SCNI in accuracy, convergence, efficiency and smoothness of the resulting stress fields are further demonstrated by several three-dimensional numerical examples. Especially, it is shown in some example that the accuracy of QCNI is surprisingly four order higher than that of SCNI.


      PubDate: 2016-06-27T12:08:15Z
       
  • A new meshless method for solving steady-state nonlinear heat conduction
           problems in arbitrary plane domain
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Chih-Wen Chang
      For solving steady-state nonlinear heat conduction problems (HCPs) in arbitrary plane domain enclosed by a complex boundary shape, the meshless methods are convenient to programming, of which the polynomial expansion method seems the simplest one. However, it is seldom used as a major medium to solve nonlinear partial differential equations owing to its highly ill-conditioned behavior. First, we decompose the steady-state nonlinear heat conduction equation into a linear portion on the left-hand side, and leave other terms on the right-hand side as a non-homogeneous portion. Then, we need to solve a steady-state linear heat conduction problem in each iteration, for which we propose a multiple-scale Pascal triangle method to generate the linear algebraic equations, where the multiple scales are automatically decided by the collocation points. We can find that these scales can largely reduce the condition number of the coefficient matrix in each linear system, such that the iteration process is convergent very quickly, and the numerical solutions obtained are very accurate and stable against very large noise to over 50%, no matter for the Dirichlet and mixed-type boundary value problems. Numerical results confirm the validity of the present multiple-scale polynomial expansion method for solving steady-state nonlinear HCPs in arbitrary plane domains.


      PubDate: 2016-06-18T18:36:15Z
       
  • 3-D rolling processing analysis by Fast Multipole Boundary Element Method
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Chunxiao Yu, Deyi Liu, Yongjiang Zheng, Guangxian Shen
      This paper presents the numerical analysis of 3-D rolling processing by a kind of Fast Multipole Boundary Element Method (FM-BEM). The FM-BEM combines the Fast Multipole Method (FMM) and Boundary Element Method (BEM), for which the fundamental formulations and numerical implementations are obtained. Then a node-to-surface frictional contact model is provided and contact constraints are linearized. For the solution system, an improved Generalized Minimal Residual Algorithm (GMRES) is employed as a fast solver. Combined with high performance computing, a cold rolling process of 2030 four-high mill with a width-to-thickness ratio of 1850 is successfully simulated, and comprehensive new rolling information is obtained. Numerical results show that the presented FM-BEM requires less artificial assumptions, and it has higher precision and efficiency as compared to the traditional BEM, Finite Element Method (FEM) and Finite Difference Method (FDM). It is a breakthrough progress in the simulation of rolling engineering, which is of great significance.


      PubDate: 2016-06-18T18:36:15Z
       
  • Stochastic analysis using the generalized perturbation stable node-based
           smoothed finite element method
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): X.B. Hu, X.Y. Cui, H. Feng, G.Y. Li
      The traditional stochastic finite element method based on the finite element method fails to give the fine solution in precise determination of reliable problems when the computer power consumption is limited. To cure this fatal defect, the generalized nth order stochastic perturbation technique based on a stable node-based smoothed finite element method (GS_SNS-FEM) is presented. The framework intends to essentially improve the accuracy, lower the mesh limitation and occupy much less computational consumption for stochastic problems, especially when its second order realization is ineffective for large variations of input random fields. Besides, the nth orders expansion makes it possible to get the prefect accuracy for expected values and variances. Numerical examples including the static and dynamic problems are completed and compared with the solution of Monte Carlo simulation. It is found that the SNS-FEM applied in the stochastic problem can improve the accuracy of static and dynamic results, largely decrease the time cost, and lower the requirement of mesh.


      PubDate: 2016-06-18T18:36:15Z
       
  • Editorial Board
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68




      PubDate: 2016-06-15T05:42:03Z
       
  • Interactions of fully nonlinear solitary wave with a freely floating
           vertical cylinder
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): B.Z. Zhou, G.X. Wu, Q.C. Meng
      Fully nonlinear numerical interaction of a transient wave with a three dimensional structure has been analysed based on a higher-order boundary element method (BEM). The BEM mesh on the free surface is generated through a combination of the structured and unstructured meshes. Through some auxiliary functions, the mutual dependence of fluid/structure motions is decoupled, which allows the body acceleration to be obtained without the knowledge of the pressure distribution. The solitary wave is used as the case study for the transient wave. It is obtained by the third order theory and the fully nonlinear theory. The accuracy of the present numerical model is verified through the steady propagation of a solitary wave and comparison with the published results for solitary wave interaction with a vertical wall. Simulations are then made to study solitary wave interaction with a truncated cylinder. Numerical results are provided for motions, forces and run-ups on the cylinder and comparison between results for the fixed cylinder and the freely floating cylinder is also made.


      PubDate: 2016-06-15T05:42:03Z
       
  • Meshfree approach for linear and nonlinear analysis of sandwich plates: A
           critical review of twenty plate theories
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Manoj Kumar Solanki, Sabin Kumar Mishra, Jeeoot Singh
      Present paper reviews twenty different theories used for analysis of multilayered plates. The mathematical formulation of the actual physical problem of the plate subjected to mechanical loading is presented using von Karman nonlinear kinematics. These non-linear governing differential equations of equilibrium are linearized using quadratic extrapolation technique. A meshfree approach based on polynomial radial basis function is used for obtaining the solution. The results obtained for the sandwich plate are validated with other available results. It is observed that some theories under predicts the deflection by a reasonable amount. The effect varying core thickness on stresses and deflection of the sandwich plate is also presented.


      PubDate: 2016-06-15T05:42:03Z
       
  • Meshfree simulation of temperature effects on the mechanical behaviors of
           microtubules
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Ping Xiang, L.W. Zhang, K.M. Liew
      The temperature-related mechanical behaviors of microtubules are investigated by way of the developed meshfree computational framework. An atomistic-continuum constitutive relationship is formulated for bridging-scale simulations of microtubules from polyatomic structure to continuum meshfree modeling. The establishment of a specific meshfree theory is based on high-order gradient continuity, by incorporating a higher-order Cauchy–Born rule. The influence of temperature on the critical buckling force and free vibration frequencies of microtubules is intensively studied. It is realized from the simulation results that temperature significantly affects the mechanical behaviors of microtubules. The critical buckling force and natural vibration frequencies of microtubules decrease with increases in temperature. A lower temperature will always result in a higher flexural rigidity, thus benefiting the mechanical strength of microtubules. In contrast, an elevated temperature will have negative impacts on microtubule stiffness. Microtubules with typical boundary restrictions subjected to different temperatures are included in the analysis. A series of simulation results on the critical buckling force and natural vibration frequencies of microtubules covering a wide range of microtubule lengths is presented for the purpose of the provision of engineering references.


      PubDate: 2016-06-15T05:42:03Z
       
  • Efficient analysis of sound propagation in sonic crystals using an
           ACA–MFS approach
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): L. Godinho, D. Soares, P.G. Santos
      Sonic crystals have been analysed making use of a variety of strategies, such as those based in the multiple-scattering theory (MST) or in the Finite Element Method (FEM). Recently, some works have proposed the use of the Method of Fundamental Solutions (MFS) and of the Boundary Element Method (BEM). However, considering these numerical techniques, the associated memory requirements and CPU times are usually prohibitive when problems with a large number of scatterers are considered, particularly when 3D problems are addressed. A new strategy for the solution of 3D configurations of sonic crystals is proposed here, based on the use of the MFS (formulated in the frequency domain), considering a 2.5D approach to describe the 3D model. The sound field is synthesised as a summation of much simpler 2D problems, drastically reducing the memory requirements and computational effort of the analysis. To allow the solution of very large-scale problems, with a great amount of scatterers, an Adaptive-Cross-Approximation (ACA) approach is incorporated into the MFS algorithm, rendering faster calculations and significant savings in terms of computational requirements. Examples are presented illustrating the good performance of the proposed methodology and its capacity to properly handle complex large-scale models.


      PubDate: 2016-06-15T05:42:03Z
       
  • A serendipity triangular patch for evaluating weakly singular boundary
           integrals
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Yudong Zhong, Jianming Zhang, Yunqiao Dong, Yuan Li, Weicheng Lin, Jinyuan Tang
      Element subdivision is the most widely used method for the numerical evaluation of weakly singular integrals in three-dimensional boundary element analyses. In the traditional subdivision method, the sub-elements, which are called patches in this paper, are obtained by simply connecting the singular point with each vertex of the element. Patches with large angles at the source point may be produced and thus, a large number of Gaussian quadrature points are needed to achieve acceptable accuracy. In this paper, a serendipity triangular patch with four-node is presented to solve the problem. Case studies have been made to investigate the effect of the location of the middle node of the serendipity patch on accuracy, and an optimal location is determined. Moreover, theoretical analysis validating the optimal location is also given with a new form of polar coordinate transformation. Numerical examples are presented to compare the new patch with the conventional linear patch with respect to both accuracy and efficiency. In all cases, the results are encouraging.


      PubDate: 2016-06-15T05:42:03Z
       
  • Buckling analysis of graphene sheets embedded in an elastic medium based
           on the kp-Ritz method and non-local elasticity theory
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Yang Zhang, L.W. Zhang, K.M. Liew, J.L. Yu
      Graphene finds application in nanoscale electronic devices, nano sensors and nanocomposites in which graphene sheets usually rest on an elastic medium. Buckling of graphene sheets can occur in such structures, which significantly influences its performance. Therefore, it is essential to investigate the buckling behavior of graphene for better engineering design and manufacture. The present work provides an element-free kp-Ritz framework to analyze the buckling behavior of graphene. The element-free kp-Ritz method is first implemented to investigate the buckling behavior of single-layered graphene sheets (SLGSs) embedded in elastic foundations, based on the classical plate theory (CLP), incorporating the non-local elasticity theory, which takes small effects into account when dealing with nanostructures. A Winkler-type model is adopted to simulate the functioning of the elastic medium. Numerical solutions for critical buckling loads of SLGSs are obtained by solving the governing differential equations derived from the principle of minimum potential energy using the element-free kp-Ritz method. The concepts of non-local parameter effects and non-local effects are distinguished. The influence of non-local parameters for both side length and aspect ratio on critical buckling loads of SLGSs is analyzed. Additionally, the effects of non-local parameters and the Winkler modulus parameter on the buckling patterns are discussed.


      PubDate: 2016-06-15T05:42:03Z
       
  • Editorial Board
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69




      PubDate: 2016-06-15T05:42:03Z
       
  • A surface-to-surface scheme for 3D contact problems by boundary face
           method
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Xiaomin Shu, Jianming Zhang, Lei Han, Yunqiao Dong
      The surface-to-surface contact algorithm has been proposed to overcome the drawbacks of node-to-surface algorithm in finite element method implementations. In the surface-to-surface algorithm, contact constraints are imposed between sub-elements rather than between nodes, and an auxiliary plane for each element is introduced to perform overlapping area detection. This work presents a combination of the surface-to-surface algorithm and the boundary face method (BFM) for solving contact problems in three dimensions. The BFM is based on boundary integral equation and is a truly isogeometric method, as it makes direct use of the geometric information of the bounding surface of a body. Apparently, the BFM is more suitable for solving contact problems. In our implementation, the auxiliary plane is no more necessary, but replaced by the boundary faces themselves which already exist in the BFM data structure. Our implementation is natural and can more precisely match the contact conditions between faces, and therefore, higher level of accuracy can be expected. Numerical examples presented have demonstrated the advantages of the combined method.


      PubDate: 2016-06-15T05:42:03Z
       
  • Free and forced vibration analyses using the four-node quadrilateral
           element with continuous nodal stress
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Yongtao Yang, Li Chen, Dongdong Xu, Hong Zheng
      The recently published four-node quadrilateral element with continuous nodal stress (Quad4-CNS) is extended to free and forced vibration analyses of two-dimensional solids. The Quad4-CNS element can be regarded as a partition-of-unity (PU) based ‘FE-Meshfree’ element which inherits better accuracy, higher convergence rate, and high tolerance to mesh distortion from the meshfree methods, while preserving the Kronecker-delta property of the finite element method (FEM). Moreover, the Quad4-CNS element is free from the linear dependence problem which otherwise cripples many of the PU based finite elements. Several free and forced vibration problems are solved and the performance of the element is compared with that of the four-node isoparametric quadrilateral element (Quad4) and eight-node isoparametric quadrilateral element (Quad8). The results show that, for regular meshes, the performance of the element is superior to that of Quad4 element, and comparable to that of Quad8 element. For distorted meshes, the present element has better mesh-distortion tolerance than Quad4 and Quad8 elements.


      PubDate: 2016-06-15T05:42:03Z
       
  • A meshless solution of two dimensional multiphase flow in porous media
    • Abstract: Publication date: September 2016
      Source:Engineering Analysis with Boundary Elements, Volume 70
      Author(s): Karel Kovářík, Soňa Masarovičová, Juraj Mužík, Dana Sitányiová
      Multiphase fluid flow problems are of importance in many disciplines including hydrology and petroleum reservoir engineering. Standard methods such as the finite differences, finite volumes and expanded mixed finite elements methods use very general unstructured grids and need different grid adaptation strategies to ensure optimal solution of this non-linear problem. The meshless methods seem to be quite a good alternative to these classical mesh-based methods. In our work we used the meshless Petrov–Galerkin local method based on the pressure-saturation formulation.


      PubDate: 2016-06-15T05:42:03Z
       
  • A new approach to non-homogeneous hyperbolic boundary value problems using
           hybrid-Trefftz stress finite elements
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Ionuţ Dragoş Moldovan
      A new approach to the solution of non-homogeneous hyperbolic boundary value problems is casted here using the hybrid-Trefftz stress/flux elements. Similarly to the Dual Reciprocity Method, the technique adopted in this paper uses a Trefftz-compliant set of functions to approximate the complementary solution of the problem and an additional trial basis to approximate its particular solution. However, the particular and complementary solutions are obtained here in a single step, and not sequentially, as typical of the Dual Reciprocity Method. The trial functions used for both particular and complementary solutions are merged together in the same basis and offered full flexibility to combine so as to recover the enforced equations in the best possible way. This option enables Trefftz-compliant functions to compensate for deficiencies of the particular solution basis, meaning that accurate total solutions can be obtained with relatively poor particular solution approximations. The formulation preserves the Hermitian, sparse and localized structure that typifies the matrix of coefficients of hybrid-Trefftz finite elements and avoids the drawbacks of the collocation procedures that arise in the Dual Reciprocity Method. Moreover, all terms of the matrix of coefficients are reduced to boundary integral expressions provided the particular solution trial functions satisfy the static problem obtained after discarding both non-homogeneous and time derivative terms from the governing equation.


      PubDate: 2016-05-10T03:29:23Z
       
  • Fast frequency sweep method for indirect boundary element models arising
           in acoustics
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Sanda Lefteriu, Marcos Souza Lenzi, Hadrien Bériot, Michel Tournour, Wim Desmet
      This paper presents an efficient approach for computing frequency sweeps with fine increments of acoustic systems described by the variational indirect boundary element method. The matrices arising from such boundary element discretizations are fully populated and their assembly is computationally demanding as it involves the calculation of double surface integrals for each system matrix entry. Therefore, the two operations performed when computing the response at one frequency, namely assembling the system matrix and solving the associated linear system, may be of the same order of magnitude in terms of the required computational time. The proposed fast frequency sweep approach accelerates both operations. First, it avoids forming the system matrices for each individual frequency. Matrices are only assembled at a few master frequencies, while for the rest, interpolation is used on scaled quantities determined at the master frequencies. Second, it avoids solving a dense linear system at each frequency. Padé approximants constructed via the well-conditioned asymptotic waveform evaluation algorithm are used to extrapolate the response around expansion frequencies using derivative information. The proposed method was tested on an exterior acoustics application representing an academic test case, as well as on an interior/exterior application representing an industrial test case.


      PubDate: 2016-05-10T03:29:23Z
       
  • The plane waves method for axisymmetric Helmholtz problems
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Andreas Karageorghis
      The plane waves method is employed for the solution of Dirichlet and Neumann boundary value problems for the homogeneous Helmholtz equation in two- and three-dimensional domains possessing radial symmetry. The appropriate selection of collocation points and unitary direction vectors in the method leads to circulant and block circulant coefficient matrices in two and three dimensions, respectively. We propose efficient matrix decomposition algorithms which make use of fast Fourier transforms for the solution of the systems resulting from such a discretization. In conjunction with the method of particular solutions, the method is extended to the solution of inhomogeneous axisymmetric Helmholtz problems. Several numerical examples are presented.


      PubDate: 2016-05-10T03:29:23Z
       
  • Nonlinear simulation of resonant sloshing in wedged tanks using boundary
           element method
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Chongwei Zhang
      Nonlinear sloshing problems in wedged tanks are simulated based on the paralleled boundary element method. An improved semi-Lagrangian procedure is introduced for the free-surface updating near non-vertical tank walls. Two types of resonances are mainly considered. One is the classical resonance, which is induced by a lateral excitation on the tank. Featured sloshing phenomena in wedged tanks are observed compared with those in rectangular tanks. The other type is the Faraday waves due to the forced tank oscillation perpendicular to the undisturbed free-surface plane. Effects of the excitation frequency, acceleration amplitude, instability regions and initial free-surface disturbance on behaviours of the resonant sloshing in wedged tanks are investigated.


      PubDate: 2016-05-05T02:45:29Z
       
  • Parametric integral equation system (PIES) for 2D elastoplastic analysis
    • Abstract: Publication date: August 2016
      Source:Engineering Analysis with Boundary Elements, Volume 69
      Author(s): Agnieszka Bołtuć
      The paper presents the formalism of the parametric integral equation system (PIES) for two-dimensional elastoplastic problems and the algorithm for its numerical solution. The efficiency of the proposed approach lies in the global modeling of a plastic zone, without classic discretization into elements, using surface patches popular in computer graphics. Lagrange polynomials with various number and arrangement of interpolation nodes are used to approximate plastic strains. Three test examples are solved and the obtained results are compared with analytical and numerical solutions.


      PubDate: 2016-05-05T02:45:29Z
       
  • Application of weighted-least-square local polynomial approximation to 2D
           shallow water equation problems
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Nan-Jing Wu, Chieh Chen, Ting-Kuei Tsay
      In this study, a numerical model based on shallow water equations (SWE) is developed. An explicit predictor–corrector approach is adopted for the time marching process. Using the leap-frog formulae, the three unknowns in SWE, which are the water depth h, and the water fluxes uh, vh, are firstly estimated directly by their values and their spatial derivatives in the previous time step. Then they are corrected by the Crank-Nicolson formulation. The spatial derivatives of h, uh and vh for the further time marching processes are calculated by using the Weighted Least Square (WLS) local polynomial approximation, which is a kind of meshless method. This model is applied to the simulations of dam break flows and tidal currents.


      PubDate: 2016-04-30T02:13:12Z
       
  • Singular boundary method using time-dependent fundamental solution for
           transient diffusion problems
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Wen Chen, Fajie Wang
      This paper documents the first attempt to apply the singular boundary method (SBM) with time-dependent fundamental solution to transient diffusion equations. An inverse interpolation technique is introduced to determine the origin intensity factor of the SBM. The scheme is mathematically simple, easy-to-program, truly boundary-only, free of integration and mesh. Several examples, especially three-dimensional (3D) cases, are provided to verify time-dependent SBM strategy. The numerical results clearly demonstrate its great potential.


      PubDate: 2016-04-25T15:45:15Z
       
  • Solutions for the magneto-electro-elastic plate using the scaled boundary
           finite element method
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Jun Liu, Pengchong Zhang, Gao Lin, Wenyuan Wang, Shan Lu
      A semi-analytical technique based on the elastic theory is employed to study the deformation of a magneto-electro-elastic plate. Solutions are acquired by applying the scaled boundary finite element method (SBFEM), which requires the discretization of the boundary as in the boundary element method but does not need a fundamental solution. In the whole process, the detailed derivation is based on the three-dimensional governing equation. With the aid of the scaled boundary coordinates, the 3D key partial differential equation is converted into the ordinary differential equation. Only the in-plane dimensions are needed to be discretized, which contributes to reducing the computational effort. Furthermore, utilizing the high order spectral element can do good to obtain high accuracy and efficiency. The components of the magneto-electro-elastic field are solved numerically in the in-plane direction and analytically in the thickness direction. Solutions along the vertical direction are formulated as a matrix exponent which is solved by the Padé series expansion of order ( 2 , 2 ) . Comparisons with the numerical examples are provided to validate the proposed solutions. Meanwhile, other examples are carried out to demonstrate the versatility of the present method.


      PubDate: 2016-04-25T15:45:15Z
       
  • A coupled finite element-element-free Galerkin method for simulating
           viscous pressure forming
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Binxian Yuan, Wa Fang, Jiguang Li, Yujun Cai, Zhoude Qu, Zhongjin Wang
      Viscous pressure forming (VPF) is a kind of sheet flexible-die forming process which uses a semisolid, flowable and viscous material as the pressure-transmitting medium. Unlike the conventional rigid die punching or hydroforming process, there are strong nonlinear features between the sheet metal and viscous medium in VPF. In this paper, a numerical analysis method for coupling sheet metal deformation and bulk deformation of viscous medium is presented. A static explicit approach based on the Updated Lagrangian (U.L.) formulation is adopted. The elastoplastic deformation of sheet metal is analyzed with finite element method (FEM), and the visco-elastoplastic bulk deformation of viscous medium is analyzed with the element-free Galerkin method (EFGM), which can eliminate mesh distortion unavoidable during the deformation of viscous medium in FEM. The contact and friction between the sheet metal and viscous medium are treated by the penalty function method. An FEM–EFGM program for coupled deformation between sheet metal and viscous medium is developed, called CDSB–FEM–EFGM for short. Several numerical examples of coupled deformation between viscous mediums with different viscosities and sheet metal are presented to demonstrate the effectiveness of the proposed method. Compared the numerical simulation results with experimental measurements, the validity of the CDSB–FEM–EFGM program is obtained.


      PubDate: 2016-04-25T15:45:15Z
       
  • Modeling free-surface flow in porous media with modified incompressible
           SPH
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Gourabananda Pahar, Anirban Dhar
      This paper presents a modified incompressible smoothed particle hydrodynamics (MISPH) method for fluid-porous media interaction problems. Navier–Stokes and Brinkman Equations are considered for modeling the fluid flow outside and inside porous media. The MISPH method utilizes a truly incompressible divergence free velocity formulation. The equations are solved by using a robust two-step semi-implicit exact projection method. Turbulence stresses are evaluated by using an semi-analytical Smagorinsky model. The representative volume of the particles changes with the porosity. Interface conditions are imposed implicitly by using Darcy velocity and modified Pressure Poisson Equation (PPE) with porosity in the source/sink term. Impermeable boundary conditions are simulated with fixed ghost particles. The model is validated by using existing experimental results of dambreak flow through a homogeneous porous block in a wet bed. Simulation results show good agreement with experimental data. An application to heterogeneous porous media demonstrates the applicability and adaptability of the proposed framework. The numerical model is capable of efficiently capturing the interaction of fluid in porous and nonporous media.


      PubDate: 2016-04-25T15:45:15Z
       
  • Simulation on the interaction between multiple bubbles and free surface
           with viscous effects
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): S. Li, B.Y. Ni
      Based on the boundary layer theory, a general Bernoulli equation involving normal and tangential stresses has been derived and the weak viscous effects have been considered. Three-dimensional boundary element method and Green's function have been adopted to solve the interaction between bubbles and free surface. Numerical results have been validated by convergence study and comparison with published results. On this basis, two in-phase and out-phase bubbles in the vicinity of free surface are chosen as cases at different Froude number. Influence of fluid viscosity or Reynolds number is mainly investigated. Physical relevance of numerical computation and the range of validity of numerical simulation are further discussed. It is found that viscous effects depress the interaction between bubbles and free surface, which hinders the formation of the downward jet on the upper bubble surface and declines bubble volume and the height of free-surface spike.


      PubDate: 2016-04-25T15:45:15Z
       
  • Modeling of fluid flow in periodic cell with porous cylinder using a
           boundary element method
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): R.F. Mardanov, S.J. Dunnett, S.K. Zaripov
      The problem of viscous incompressible flow past a periodic array of porous cylinders (a model of flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the fluid flow problem. The Stokes flow model is then adopted to model the flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that the use of analytical integration gives considerable advantage in computing time.


      PubDate: 2016-04-25T15:45:15Z
       
  • Improved non-singular method of fundamental solutions for two-dimensional
           isotropic elasticity problems with elastic/rigid inclusions or voids
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Q.G. Liu, B. Šarler
      In this work, an Improved Non-singular Method of Fundamental Solutions (INMFS) is developed for the solution of two-dimensional linear elasticity problems. The source points and field points are collocated on the physical boundary, while the conventional MFS requires a troublesome fictitious boundary outside the physical domain. In INMFS, the desingularization is, for complying with the displacement boundary conditions, achieved by replacement of the concentrated point sources by distributed sources over circular discs around the singularity, and for complying with the traction boundary conditions by assuming the balance of the forces. This procedure is much more efficient than the previously proposed procedure that involves two reference solutions and at the same time enables INMFS for solving problems with internal voids and inclusions. The method has been assessed by comparison with MFS, analytical solutions and previous desingularization technique. The method is easy to code, accurate, efficient, and straightforwardly extendable to three dimensions.


      PubDate: 2016-04-09T13:48:44Z
       
  • Inverse contact problem for an elastic half-space
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): A.N. Galybin
      This paper presents a system of integral equations for the determination of contact stresses on a part of the boundary of elastic half-space by measured data of displacements on the rest of the stress-free boundary. Inverse problems like this are refereed to as conditionally ill-posed with pronounced dependence of the solution from small perturbations in measured data. The 3D problem formulation is based on spatial harmonic functions. It is proposed to use a Trefftz-type method for the sought harmonic functions based on the radial basis functions to solve the system of integral equations. A synthetic example is presented to illustrate the proposed approach.


      PubDate: 2016-04-09T13:48:44Z
       
  • Periodic band structure calculation by the Sakurai–Sugiura method
           with a fast direct solver for the boundary element method with the fast
           multipole representation
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Hiroshi Isakari, Toru Takahashi, Toshiro Matsumoto
      In this paper, we present a numerical method for periodic band structure calculation, which is associated with eigenvalue problems for periodic problems, using the boundary element method (BEM). In the BEM, the eigenvalue problems are converted into non-linear eigenvalue problems, which are not tractable with conventional eigensolvers. In the present study, to solve non-linear eigenvalue problems, the block Sakurai–Sugiura (SS) method, which can convert non-linear eigenvalue problems into generalised eigenvalue problems, is utilised. A fast direct solver for the BEM with a fast multipole representation is employed in the algorithm of the block SS method since algebraic equations need to be solved for multiple right-hand sides in the block SS method. We conduct several numerical experiments related to phononic structures to confirm the validity and efficiency of the proposed method. We confirm that the proposed method can calculate the band structure of the phononic structures, and the computational time with the proposed method is less than that with a conventional FEM-based eigensolvers with triangular linear elements even for relatively small problems.


      PubDate: 2016-04-09T13:48:44Z
       
  • Numerical solution of Eshelby's elastic inclusion problem in plane
           elasticity by using boundary integral equation
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Y.Z. Chen
      This paper provides a numerical solution for Eshelby's elastic inclusions in an plane elasticity based on the complex variable boundary integral equation (CVBIE) method. An inclusion with arbitrary shape is embedded in the infinite matrix. In the inclusion, the constant eigenstains are assumed. No remote loading is applied to the matrix. The displacements from the assumed eigenstrains are evaluated exactly, which in turn are the generalized loading in the problem. The proposed problem is reduced to solve interior and exterior boundary value problems simultaneously. For the elliptical inclusion case, the computed stresses along the interface of the inclusion side are nearly uniform. One more numerical example is devoted to a square-type inclusion with round corner.


      PubDate: 2016-04-06T13:39:35Z
       
  • The interior field method for Laplace׳s equation in circular domains
           with circular holes
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Zi-Cai Li, John Y. Chiang, Hung-Tsai Huang, Ming-Gong Lee
      The null field method (NFM) was proposed by Chen and his co-researchers, and has been discussed in numerous papers, see Chen et al. (2007 [11]), Chen et al. (2002 [12]), Chen et al. (2001 [13]), and Chen and Shen (2009 [14]). The further developments of the NFM have been made in our recent papers (Huang et al., 2013 [21]; Lee et al., 2013 [23]; Lee et al., 2014 [25]; Li et al., 2012 [29]). In this paper, the interior field method (IFM) is proposed, which offers the best performance of the NFM when the field nodes are located exactly on the domain boundary. The algorithms of the IFM are much simpler than those of the NFM, because only one formula of the interior solutions is needed, compared with multiple formulas in the NFM. Since the IFM can be classified into the family of the Trefftz method (Li et al., 2008 [31]), a new error analysis of the IFM and the collocation IFM (CIFM) can be explored, to achieve the optimal convergence rates. Moreover, new proof techniques for aliasing errors in this paper are straightforward, heuristic and much easier to follow, because of direct derivations from trigonometric functions, which are distinct from Canuto and Quarteroni (1982 [8]), Canuto et al. (2006 [9]), and Kreiss and Oliger (1979 [22]). Based on this paper, the IFM and the CIFM may be recommended for those problems solvable by the NFM before.


      PubDate: 2016-04-06T13:39:35Z
       
  • Radial basis function collocation method for an elliptic problem with
           nonlocal multipoint boundary condition
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Svajūnas Sajavičius
      Radial basis function domain-type collocation method is applied for an elliptic partial differential equation with nonlocal multipoint boundary condition. A geometrically flexible meshless framework is suitable for imposing nonclassical boundary conditions which relate the values of unknown function on the boundary to its values at a discrete set of interior points. Some properties of the method are investigated by a numerical study of a test problem with the manufactured solution. Attention is mainly focused on the influence of nonlocal boundary condition. The standard collocation and least squares approaches are compared. In addition to its geometrical flexibility, the examined method seems to be less restrictive with respect to parameters of nonlocal conditions than, for example, methods based on finite differences.


      PubDate: 2016-04-02T13:19:42Z
       
  • An edge/face-based smoothed radial point interpolation method for static
           analysis of structures
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): S.Z. Feng, X.Y. Cui, F. Chen, S.Z. Liu, D.Y. Meng
      This paper formulates an edge/face-based smoothed radial point interpolation method (ES/FS-RPIM) for the 2D and 3D static analysis of structures. In present method, the problem domain is discretized using triangular or tetrahedron cells and the edge-based or face-based smoothing domains are then constructed based on these background meshes. Field functions are approximated using RPIM shape functions which have Kronecker delta function property. An efficient T2L-scheme is employed for the RPIM shape function construction. The system equations are derived using the generalized smoothed Galerkin (GS-Galerkin) weak form and essential boundary conditions can be imposed directly as in the finite element method (FEM). Several numerical examples with different material models are investigated to verify the proposed method in terms of accuracy, stability, efficiency and convergence.


      PubDate: 2016-04-02T13:19:42Z
       
  • A multiple-scale MQ-RBF for solving the inverse Cauchy problems in
           arbitrary plane domain
    • Abstract: Publication date: July 2016
      Source:Engineering Analysis with Boundary Elements, Volume 68
      Author(s): Chein-Shan Liu, Wen Chen, Zhuojia Fu
      The method of radial basis function (RBF) is popularly used in the solution of partial differential equations (PDEs). We propose a multiple-scale MQ-RBF method to solve the linear elliptic PDEs and the corresponding inverse Cauchy problems in simply- and doubly-connected domains, where the multiple scales are automatically determined a priori by the collocation points and source points, which play a role of post-conditioner of linear system to determine the unknown expansion coefficients. In the solution of inverse Cauchy problems the multiple-scale MQ-RBF is quite accurate and stable against large noise level up to 10–30%. Even for a case with only a quarter of boundary being imposed over-specified data, the multiple-scale MQ-RBF can still recover 75% unknown data very well.


      PubDate: 2016-04-02T13:19:42Z
       
  • Numerical solution of ideal MHD equilibrium via radial basis functions
           collocation and moving least squares approximation methods
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Maryam Ghasemi, Reza Amrollahi
      In this study, two different meshfree methods consisting of the Radial Basis Functions (RBFs) and the Moving Least Square Method (MLS) are applied to solve the Grad–Shafranov (GS) equation for the axisymmetric equilibrium of plasma in the tokamak. The validity and the effectiveness of the proposed schemes are studied by several test problems through absolute and Root Mean Squared (RMS) errors. Although, during the past few years, a meshfree method is normally applied in magnetohydrodynamic (MHD) studies to the numerical solution of partial differential equations (PDEs) but to the best of our knowledge, its application in MHD equilibrium of the tokamak plasma investigations is rare. The future more extensive studies regarding this numerical method would definitely have a significant impact on improving tokamak numerical tools.


      PubDate: 2016-03-28T12:44:02Z
       
  • Space–time localized radial basis function collocation method for
           solving parabolic and hyperbolic equations
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Mohammed Hamaidi, Ahmed Naji, Abdellatif Charafi
      A radial basis collocation method, to solve parabolic and hyperbolic equations, based on the local space–time domain formulation is developed and presented in this paper. The method is different from those that approximate the time derivative using different formulas such as the implicit, explicit, method of lines, or other numerical methods. Considering a partial differential equation with d spatial dimensions, our technique solves the problem as a ( d + 1 ) -dimensional one without distinguishing between space and time variables, and the collocation points have both space and time coordinates. The parabolic equation is solved using the governing domain equation as a condition on the boundary characterized by the final time T. The hyperbolic equation is solved using two different methods. The first one is based on adapting the technique used for solving parabolic equations. The second one is a new technique that looks at the problem as an ill-posed one with incomplete boundary condition data at the final time T of the space–time domain. The accuracy of our proposed method is demonstrated through different examples in one-, two- and three-dimensional spaces on regular and irregular domains.


      PubDate: 2016-03-28T12:44:02Z
       
  • The treatment of BEM for porodynamic problems subjected to a force source
           in time-domain
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Boyang Ding, Jiaqi Jiang, Jing Hu
      Based on the Biot׳s dynamic equations, the BEM in time-domain for the dynamic analysis of the poroelastic material subjected to a force source is described in this paper. Some methodologies treated to integral of the Somigliana׳s representative are revealed by authors, using the Green׳s functions in U-P formulation in time-domain, which fast and slow compressional waves has been decoupled. The treatment procedure which the integral variables regarding the fluid phase are transformed appropriately is described. The discretization treatment of the boundary integral equations is expounded in detail. The relevant numerical examples for BEM of the poroelastic material are performed by authors, the results are shown in the form of charts. The reasonable comparisons of the current and the previous solutions are also made in this paper. The treatment approach of stability and convergence as well as their dependence on time step are explained also. The pertinent descriptions may have certain effect to analysis on dynamic issues of other source, such as dislocation, dipole for the poroelastic material. Since the numerical investigation of porodynamic problems in time-domain has been rarely, further researches on the dynamic numerical analysis for the poroelastic material may benefit from the approach of this paper in future.


      PubDate: 2016-03-28T12:44:02Z
       
  • A necessary and sufficient BEM/BIEM for two-dimensional elasticity
           problems
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Jeng-Tzong Chen, Wen-Sheng Huang, Ying-Te Lee, Shing-Kai Kao
      It is well known that the patch test is required for the finite element method (FEM). We may wonder whether we need any special test for the boundary element method (BEM). A sufficient and necessary boundary integral equation method (BIEM) to ensure a unique solution is our concern. In this paper, we revisit this issue for the interior two-dimensional (2-D) elasticity problem and investigate the equivalence of the solution space between the integral equation and the partial differential equation. Based on the degenerate kernel and the eigenfunction expansion, the range deficiency of the integral operator for the solution space in the degenerate-scale problem for the 2-D elasticity in the BIEM is analytically studied. According to the Fichera׳s idea, we enrich the conventional BIEM by adding constants and corresponding constraints. In addition, we introduce the concept of modal participation factor (MPF) to examine whether the adding term of rotation is required for interior simply-connected problems. Finally, two simple examples of degenerate-scale problems containing circular and elliptical boundaries subjected to various boundary conditions of the rigid body translation and rotation for 2-D elasticity problems are demonstrated by using the necessary and sufficient BIEM.


      PubDate: 2016-03-28T12:44:02Z
       
  • Singularity analysis of planar cracks in three-dimensional piezoelectric
           semiconductors via extended displacement discontinuity boundary integral
           equation method
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): MingHao Zhao, Yuan Li, Yang Yan, CuiYing Fan
      The displacement discontinuity boundary integral equation method is extended to analyze the singularity of near-border fields of the planar crack of arbitrary shape in the isotropic plane of a three-dimensional transversely isotropic piezoelectric semiconductor. The hyper-singular boundary integral equations are derived in terms of the displacement, electric potential and carrier density discontinuities across the crack faces, in which body integrals for the carrier density are introduced. Based on the finite-part integrals, singularity exponents and asymptotic expressions of the crack border fields are obtained. The stress, electric displacement and electric current intensity factors are given in terms of the displacement, electric potential and carrier density discontinuities. Finite element results for penny-shaped and line cracks based on the piezoelectric-conductor iterative method are used to verify the derivations of the intensity factors.


      PubDate: 2016-03-28T12:44:02Z
       
  • Numerical simulation of time-dependent Navier–Stokes and MHD
           equations using a meshless method based on fundamental and particular
           solutions
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): D. Nath, M.S. Kalra, P. Munshi
      In this paper a meshless method based on fundamental and particular solution (MFS–MPS) is implemented to numerically solve the time-dependent Navier–Stokes equations in stream function–vorticity form for lid-driven cavity flows. Further, the method is applied to natural convection problem in a cavity where an additional temperature equation and mixed boundary conditions are involved. Finally the MHD equations in stream function–vorticity–magnetic field-current density form are solved for MHD flows in a lid-driven cavity. A semi-implicit approach is used for the time advancing in which the time derivative is discretized using first order forward-difference approximation, the Laplace operator is taken in next time level, and rest of the terms are taken in the current time level. We take the number of boundary collocation points more than the source points and solve the overdetermined system of equation in a least squares sense at each time step. The least squares approach alleviates the problem of ill-conditioning to a certain extent. The results obtained are in good agreement with the previous numerical works where available. We find that the meshless method based on MFS–MPS is simple and effective, and can easily be applied to the coupled time-dependent nonlinear system of equations.


      PubDate: 2016-03-24T03:10:09Z
       
  • Dynamic 2.5-D green׳s function for a poroelastic half-space
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Shunhua Zhou, Chao He, HongGui Di
      The dynamic two-and-a-half-dimensional (2.5-D) Green׳s function for a poroelastic half-space subject to a point load and dilatation source is derived based on Biot׳s theory, with the consideration of both a permeable surface and an impermeable surface. The governing differential equations for the 2.5-D Green׳s function are established by applying the Fourier transform to the governing equations of the three-dimensional (3-D) Green׳s function. The dynamic 2.5-D Green׳s function is derived in a full-space using the potential decomposition and discrete wavenumber methods. The surface terms are introduced to fulfil the free-surface boundary conditions and thereby obtain the dynamic 2.5-D Green׳s function for a poroelastic half-space with the permeable and impermeable surfaces. The half-space 2.5-D Green׳s function is verified through comparison with the 2.5-D Green׳s function regarding an elastodynamic half-space and the 3-D Green׳s function for a poroelastic half-space. A numerical case is provided to compare between the full-space solutions and the half-space solutions with two different sets of free-surface boundary conditions. In addition, a case study of efficient calculation of vibration from a tunnel embedded in a poroelastic half-space is presented to show the application of the 2.5-D Green׳s function in engineering problems.


      PubDate: 2016-03-24T03:10:09Z
       
  • The CPCT based CBIE and HBIE for potential problems in three dimensions
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Jia-He Lv, Xia-Ting Feng, Bing-Rui Chen, Quan Jiang, Hao-Sen Guo
      In this paper, the authors present a more efficient and robust implementation of conventional and hypersingular BIEs for potential problems in three dimensions under the framework of boundary face method (BFM). The focus is laid on the accurate evaluation of singular curved surface integrals, and three aspects related are considered simultaneously: (a) the near singularity caused by distorted element shape; (b) the near singularity derived from the angular direction; (c) the singularity in the radial direction. A conformal polar coordinate transformation (CPCT) is employed to eliminate the shape effect of distorted integration cells, which can retain the shape characteristic. Besides, an improved sigmoidal transformation is introduced to alleviate the near singularity in the angular direction. By combination of the two strategies with previous singularity subtraction method, an efficient numerical integration scheme has been obtained for various orders of singularities. Some numerical examples including parallelogram plate, sphere and hollow cylinder examples with coarse meshes are presented to demonstrate the accuracy and flexibility of the proposed method.


      PubDate: 2016-03-24T03:10:09Z
       
  • Improved localized radial basis function collocation method for
           multi-dimensional convection-dominated problems
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): D.F. Yun, Y.C. Hon
      In this paper, the localized radial basis function collocation method (LRBFCM) is combined with the partial upwind scheme for solving convection-dominated fluid flow problems. The localization technique adopted in LRBFCM has shown to be effective in avoiding the well known ill-conditioning problem of traditional meshless collocation method with globally defined radial basis functions (RBFs). For convection–diffusion problems with dominated convection, stiffness in the form of boundary/interior layers and shock waves emerge as convection overwhelms diffusion. We show in this paper that these kinds of stiff problems can be well tackled by combining the LRBFCM with partial upwind scheme. For verification, several numerical examples are given to demonstrate that this scheme improves the LRBFCM in providing stable, accurate, and oscillation-free solutions to one- and two-dimensional Burgers׳ equations with shock waves and singular perturbation problems with turning points and boundary layers.


      PubDate: 2016-03-24T03:10:09Z
       
  • A fast multipole method accelerated adaptive background cell-based domain
           integration method for evaluation of domain integrals in 3D boundary
           element method
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Wei Zhou, Qiao Wang, Yonggang Cheng, Gang Ma
      A background cell-based domain integration method is proposed in this paper for evaluating domain integrals in 3D problems. The cells are created by an adaptive oct-tree structure based on the information of boundary elements, and no other discretization is needed. Cells that contain boundary elements can be subdivided into smaller sub-cells adaptively to obtain the desired accuracy according to the sizes and levels of the boundary elements. Applying the method directly in the boundary element method is time-consuming since the time complexity is O(NM), where N and M are the numbers of nodes and cells, respectively. The fast multipole method is coupled with the cell-based domain integration method to further accelerate the computational efficiency, and the main formulations are introduced in this paper. Numerical examples have demonstrated the accuracy and efficiency of the proposed method.


      PubDate: 2016-03-19T02:43:01Z
       
  • BEM and FEM analysis of fluid–structure interaction in a double tank
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): J. Ravnik, E. Strelnikova, V. Gnitko, K. Degtyarev, U. Ogorodnyk
      In this paper we present a fluid–structure interaction analysis of shell structures with compartments partially filled with a liquid. The compound shell was a simplified model of a fuel tank. The shell is considered to be thin and Kirghoff–Lave linear theory hypotheses are applied. The liquid is ideal and incompressible. Its properties and the filling levels may be different in each compartment. The shell vibrations coupled with liquid sloshing under the force of gravity were considered. The shell and sloshing modes were analysed simultaneously. The coupled problem is solved using a coupled BEM and FEM in-house solver. The tank structure is modeled by FEM and the liquid sloshing in the fluid domain is described by BEM. The method relies on determining the fluid pressure from the system of singular integral equations. For its numerical solution, the boundary element method was applied. The boundary of the liquid computational domain is discretized by nine-node boundary elements. The quadratic interpolation of functions and linear interpolation of flux are involved. The natural frequencies were obtained for the cylindrical double tank with two compartments.


      PubDate: 2016-03-19T02:43:01Z
       
  • A combination of EFG-SBM and a temporally-piecewise adaptive algorithm to
           solve viscoelastic problems
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): X.F. Guo, H.T. Yang
      This paper combines Element-Free Galerkin Scaled Boundary Method (EFG-SBM) with a temporally-piecewise adaptive algorithm to solve viscoelastic problems. By expanding variables at a discretized time interval, the variations of variables can be described more precisely, and a space-time domain coupled problem can be converted into a series of recurrent boundary value problems which are solved by EFG-SBM via an adaptive computing process. Numerical tests including creep and relaxation are given to verify the proposed algorithm.


      PubDate: 2016-03-19T02:43:01Z
       
  • Improving accuracy and efficiency of stress analysis using scaled boundary
           finite elements
    • Abstract: Publication date: June 2016
      Source:Engineering Analysis with Boundary Elements, Volume 67
      Author(s): Gao Lin, Lin Pang, Zhiqiang Hu, Yong Zhang
      The scaled boundary finite element method (SBFEM) is a fundamental-solution-less boundary element method, which leads to semi-analytical solutions for stress fields. As only the boundary is discretized, the spatial dimension is reduced by one. In this paper, the SBFEM based polygon elements are utilized to improve the accuracy and efficiency of stress analysis. It retains the attractive feature of the SBFEM in solving problems with unbounded media and singularities. In addition, polygon elements are more flexible in meshing and mesh transition. Various measures which help improving accuracy or efficiency of the stress analysis, i.e. refining polygon mesh, nodal enrichment, appropriate placing of the scaling center, merging polygon elements and NURBS enhanced curved boundaries are discussed and compared. As a result, further insight into the refinement and improvement strategies for stress analysis is provided.


      PubDate: 2016-03-19T02:43:01Z
       
 
 
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