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Publisher: Elsevier   (Total: 3182 journals)

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Showing 1 - 200 of 3182 Journals sorted alphabetically
Academic Pediatrics     Hybrid Journal   (Followers: 38, SJR: 1.655, CiteScore: 2)
Academic Radiology     Hybrid Journal   (Followers: 26, SJR: 1.015, CiteScore: 2)
Accident Analysis & Prevention     Partially Free   (Followers: 102, SJR: 1.462, CiteScore: 3)
Accounting Forum     Hybrid Journal   (Followers: 28, SJR: 0.932, CiteScore: 2)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 40, SJR: 1.771, CiteScore: 3)
Achievements in the Life Sciences     Open Access   (Followers: 7)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 6)
Acta Astronautica     Hybrid Journal   (Followers: 437, SJR: 0.758, CiteScore: 2)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 2)
Acta Biomaterialia     Hybrid Journal   (Followers: 28, SJR: 1.967, CiteScore: 7)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription   (Followers: 3)
Acta de Investigación Psicológica     Open Access   (Followers: 3)
Acta Ecologica Sinica     Open Access   (Followers: 11, SJR: 0.18, CiteScore: 1)
Acta Histochemica     Hybrid Journal   (Followers: 6, SJR: 0.661, CiteScore: 2)
Acta Materialia     Hybrid Journal   (Followers: 314, SJR: 3.263, CiteScore: 6)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.504, CiteScore: 1)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.542, CiteScore: 1)
Acta Oecologica     Hybrid Journal   (Followers: 12, SJR: 0.834, CiteScore: 2)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription  
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 2, SJR: 0.307, CiteScore: 0)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 1, SJR: 1.793, CiteScore: 6)
Acta Poética     Open Access   (Followers: 4, SJR: 0.101, CiteScore: 0)
Acta Psychologica     Hybrid Journal   (Followers: 26, SJR: 1.331, CiteScore: 2)
Acta Sociológica     Open Access   (Followers: 1)
Acta Tropica     Hybrid Journal   (Followers: 6, SJR: 1.052, CiteScore: 2)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 3, SJR: 0.374, CiteScore: 1)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 2)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 3, SJR: 0.344, CiteScore: 1)
Actas Urológicas Españolas (English Edition)     Full-text available via subscription   (Followers: 1)
Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 7, SJR: 0.19, CiteScore: 0)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 3)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 8)
Acute Pain     Full-text available via subscription   (Followers: 15, SJR: 2.671, CiteScore: 5)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.53, CiteScore: 4)
Addictive Behaviors     Hybrid Journal   (Followers: 18, SJR: 1.29, CiteScore: 3)
Addictive Behaviors Reports     Open Access   (Followers: 9, SJR: 0.755, CiteScore: 2)
Additive Manufacturing     Hybrid Journal   (Followers: 11, SJR: 2.611, CiteScore: 8)
Additives for Polymers     Full-text available via subscription   (Followers: 23)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 184, SJR: 4.09, CiteScore: 13)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 12, SJR: 1.167, CiteScore: 4)
Advanced Powder Technology     Hybrid Journal   (Followers: 17, SJR: 0.694, CiteScore: 3)
Advances in Accounting     Hybrid Journal   (Followers: 9, SJR: 0.277, CiteScore: 1)
Advances in Agronomy     Full-text available via subscription   (Followers: 17, SJR: 2.384, CiteScore: 5)
Advances in Anesthesia     Full-text available via subscription   (Followers: 29, SJR: 0.126, CiteScore: 0)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 2)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 12, SJR: 0.992, CiteScore: 1)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 12, SJR: 1.551, CiteScore: 4)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 24, SJR: 2.089, CiteScore: 5)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 15, SJR: 0.572, CiteScore: 2)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.61, CiteScore: 7)
Advances in Botanical Research     Full-text available via subscription   (Followers: 2, SJR: 0.686, CiteScore: 2)
Advances in Cancer Research     Full-text available via subscription   (Followers: 34, SJR: 3.043, CiteScore: 6)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 9, SJR: 1.453, CiteScore: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 1.992, CiteScore: 5)
Advances in Cell Aging and Gerontology     Full-text available via subscription   (Followers: 5)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 14)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 29, SJR: 0.156, CiteScore: 1)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 11, SJR: 0.713, CiteScore: 1)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 10, SJR: 1.316, CiteScore: 2)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 26, SJR: 1.562, CiteScore: 3)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 20, SJR: 1.977, CiteScore: 8)
Advances in Computers     Full-text available via subscription   (Followers: 14, SJR: 0.205, CiteScore: 1)
Advances in Dermatology     Full-text available via subscription   (Followers: 15)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 13)
Advances in Digestive Medicine     Open Access   (Followers: 12)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 7)
Advances in Drug Research     Full-text available via subscription   (Followers: 26)
Advances in Ecological Research     Full-text available via subscription   (Followers: 43, SJR: 2.524, CiteScore: 4)
Advances in Engineering Software     Hybrid Journal   (Followers: 29, SJR: 1.159, CiteScore: 4)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 8)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 51, SJR: 5.39, CiteScore: 8)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 1)
Advances in Fluorine Science     Full-text available via subscription   (Followers: 9)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 66, SJR: 0.591, CiteScore: 2)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 17)
Advances in Genetics     Full-text available via subscription   (Followers: 21, SJR: 1.354, CiteScore: 4)
Advances in Genome Biology     Full-text available via subscription   (Followers: 10, SJR: 12.74, CiteScore: 13)
Advances in Geophysics     Full-text available via subscription   (Followers: 7, SJR: 1.193, CiteScore: 3)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 26, SJR: 0.368, CiteScore: 1)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 11, SJR: 0.749, CiteScore: 3)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 25)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 3, SJR: 0.193, CiteScore: 0)
Advances in Immunology     Full-text available via subscription   (Followers: 37, SJR: 4.433, CiteScore: 6)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 10, SJR: 1.163, CiteScore: 2)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 2, SJR: 1.938, CiteScore: 3)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 6, SJR: 0.176, CiteScore: 0)
Advances in Intl. Accounting     Full-text available via subscription   (Followers: 3)
Advances in Life Course Research     Hybrid Journal   (Followers: 9, SJR: 0.682, CiteScore: 2)
Advances in Lipobiology     Full-text available via subscription   (Followers: 1)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 8)
Advances in Marine Biology     Full-text available via subscription   (Followers: 21, SJR: 0.88, CiteScore: 2)
Advances in Mathematics     Full-text available via subscription   (Followers: 14, SJR: 3.027, CiteScore: 2)
Advances in Medical Sciences     Hybrid Journal   (Followers: 8, SJR: 0.694, CiteScore: 2)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 6)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 5, SJR: 1.158, CiteScore: 3)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 24)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 8)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 7, SJR: 0.182, CiteScore: 0)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 5)
Advances in Oncobiology     Full-text available via subscription   (Followers: 2)
Advances in Organ Biology     Full-text available via subscription   (Followers: 2)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 18, SJR: 1.875, CiteScore: 4)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.174, CiteScore: 0)
Advances in Parasitology     Full-text available via subscription   (Followers: 5, SJR: 1.579, CiteScore: 4)
Advances in Pediatrics     Full-text available via subscription   (Followers: 27, SJR: 0.461, CiteScore: 1)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 19)
Advances in Pharmacology     Full-text available via subscription   (Followers: 17, SJR: 1.536, CiteScore: 3)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 0.574, CiteScore: 1)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.109, CiteScore: 1)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 10)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 6)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 19)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 20, SJR: 0.791, CiteScore: 2)
Advances in Psychology     Full-text available via subscription   (Followers: 67)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 6, SJR: 0.371, CiteScore: 1)
Advances in Radiation Oncology     Open Access   (Followers: 1, SJR: 0.263, CiteScore: 1)
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 3, SJR: 0.101, CiteScore: 0)
Advances in Space Biology and Medicine     Full-text available via subscription   (Followers: 6)
Advances in Space Research     Full-text available via subscription   (Followers: 422, SJR: 0.569, CiteScore: 2)
Advances in Structural Biology     Full-text available via subscription   (Followers: 5)
Advances in Surgery     Full-text available via subscription   (Followers: 13, SJR: 0.555, CiteScore: 2)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 37, SJR: 2.208, CiteScore: 4)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 20)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 15)
Advances in Virus Research     Full-text available via subscription   (Followers: 6, SJR: 2.262, CiteScore: 5)
Advances in Water Resources     Hybrid Journal   (Followers: 54, SJR: 1.551, CiteScore: 3)
Aeolian Research     Hybrid Journal   (Followers: 6, SJR: 1.117, CiteScore: 3)
Aerospace Science and Technology     Hybrid Journal   (Followers: 385, SJR: 0.796, CiteScore: 3)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.42, CiteScore: 2)
African J. of Emergency Medicine     Open Access   (Followers: 6, SJR: 0.296, CiteScore: 0)
Ageing Research Reviews     Hybrid Journal   (Followers: 12, SJR: 3.671, CiteScore: 9)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 477, SJR: 1.238, CiteScore: 3)
Agri Gene     Hybrid Journal   (Followers: 1, SJR: 0.13, CiteScore: 0)
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 18, SJR: 1.818, CiteScore: 5)
Agricultural Systems     Hybrid Journal   (Followers: 31, SJR: 1.156, CiteScore: 4)
Agricultural Water Management     Hybrid Journal   (Followers: 44, SJR: 1.272, CiteScore: 3)
Agriculture and Agricultural Science Procedia     Open Access   (Followers: 4)
Agriculture and Natural Resources     Open Access   (Followers: 3)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 58, SJR: 1.747, CiteScore: 4)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.589, CiteScore: 3)
Air Medical J.     Hybrid Journal   (Followers: 8, SJR: 0.26, CiteScore: 0)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.19, CiteScore: 0)
Alcohol     Hybrid Journal   (Followers: 12, SJR: 1.153, CiteScore: 3)
Alcoholism and Drug Addiction     Open Access   (Followers: 12)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 2, SJR: 0.604, CiteScore: 3)
Alexandria J. of Medicine     Open Access   (Followers: 1, SJR: 0.191, CiteScore: 1)
Algal Research     Partially Free   (Followers: 11, SJR: 1.142, CiteScore: 4)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 2)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.504, CiteScore: 1)
Allergology Intl.     Open Access   (Followers: 5, SJR: 1.148, CiteScore: 2)
Alpha Omegan     Full-text available via subscription   (SJR: 3.521, CiteScore: 6)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 10, SJR: 0.201, CiteScore: 1)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 53, SJR: 4.66, CiteScore: 10)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 6, SJR: 1.796, CiteScore: 4)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 6, SJR: 1.108, CiteScore: 3)
Ambulatory Pediatrics     Hybrid Journal   (Followers: 5)
American Heart J.     Hybrid Journal   (Followers: 58, SJR: 3.267, CiteScore: 4)
American J. of Cardiology     Hybrid Journal   (Followers: 63, SJR: 1.93, CiteScore: 3)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 46, SJR: 0.604, CiteScore: 1)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 12)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 14, SJR: 1.524, CiteScore: 3)
American J. of Human Genetics     Hybrid Journal   (Followers: 37, SJR: 7.45, CiteScore: 8)
American J. of Infection Control     Hybrid Journal   (Followers: 29, SJR: 1.062, CiteScore: 2)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 36, SJR: 2.973, CiteScore: 4)
American J. of Medicine     Hybrid Journal   (Followers: 50)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3, SJR: 1.967, CiteScore: 2)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 255, SJR: 2.7, CiteScore: 4)
American J. of Ophthalmology     Hybrid Journal   (Followers: 66, SJR: 3.184, CiteScore: 4)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 5, SJR: 0.265, CiteScore: 0)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.289, CiteScore: 1)
American J. of Otolaryngology     Hybrid Journal   (Followers: 25, SJR: 0.59, CiteScore: 1)
American J. of Pathology     Hybrid Journal   (Followers: 33, SJR: 2.139, CiteScore: 4)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 28, SJR: 2.164, CiteScore: 4)
American J. of Surgery     Hybrid Journal   (Followers: 39, SJR: 1.141, CiteScore: 2)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, SJR: 0.767, CiteScore: 1)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 7)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.144, CiteScore: 3)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 66, SJR: 0.138, CiteScore: 0)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 24, SJR: 0.411, CiteScore: 1)
Anales de Cirugia Vascular     Full-text available via subscription   (Followers: 1)
Anales de Pediatría     Full-text available via subscription   (Followers: 3, SJR: 0.277, CiteScore: 0)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription  
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 5, SJR: 4.849, CiteScore: 10)
Analytica Chimica Acta     Hybrid Journal   (Followers: 44, SJR: 1.512, CiteScore: 5)
Analytica Chimica Acta : X     Open Access  
Analytical Biochemistry     Hybrid Journal   (Followers: 209, SJR: 0.633, CiteScore: 2)
Analytical Chemistry Research     Open Access   (Followers: 13, SJR: 0.411, CiteScore: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 14)
Anesthésie & Réanimation     Full-text available via subscription   (Followers: 2)
Anesthesiology Clinics     Full-text available via subscription   (Followers: 25, SJR: 0.683, CiteScore: 2)
Angiología     Full-text available via subscription   (SJR: 0.121, CiteScore: 0)
Angiologia e Cirurgia Vascular     Open Access   (Followers: 1, SJR: 0.111, CiteScore: 0)
Animal Behaviour     Hybrid Journal   (Followers: 224, SJR: 1.58, CiteScore: 3)
Animal Feed Science and Technology     Hybrid Journal   (Followers: 6, SJR: 0.937, CiteScore: 2)
Animal Reproduction Science     Hybrid Journal   (Followers: 7, SJR: 0.704, CiteScore: 2)

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Similar Journals
Journal Cover
International Journal of Non-Linear Mechanics
Journal Prestige (SJR): 1.032
Citation Impact (citeScore): 2
Number of Followers: 8  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0020-7462
Published by Elsevier Homepage  [3182 journals]
  • Array of nanostrings electromagnetically interacting through repelling
           Lorentz forces
    • Abstract: Publication date: Available online 19 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Rivka Gilat, Slava Krylov The collective stability behavior of a planar array of parallel nanostrings interacting through electromagnetic Lorentz forces is analyzed. The repelling coupling forces between the neighboring strings, organized in a snake-like arrangement and designed to deflect in a vertical, perpendicular to the array plane, direction, are generated solely by an electric current of alternating directions, which also results in the Joule heating of the strings. The analysis of the associated linearized eigenvalue problem provides the critical current corresponding to a push-out buckling with an intrinsic out-of-plane “zig-zag” mode. This bifurcation-type buckling is shown to precede the string loosening due to Joule heating, and to occur, in nano strings of realistic dimensions, at current density lower than the melting- or electromigration-related limits. The postbuckling behavior, governed by the inherent structural geometric and electromagnetic nonlinearities, is studied analytically and numerically. The results demonstrate the competing effects of the initial string tension and of the Joule heating on the array responses. In arrays constituting of finite numbers of strings, the critical buckling current is confined in a region bounded by the values obtained for the single string and infinite arrays.
       
  • A constitutive model for bentonite-water mixture and the effect of wall
           slip boundary conditions on its mechanical response
    • Abstract: Publication date: Available online 19 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): S. Sumith, K. Kannan, K. Shankar This paper presents the development of a constitutive model for describing the nonlinear viscoelastic behavior of deep-seabed sediments. To quantify the nonlinear response, shear rheological tests are carried out on deep-sea sediments substitute at different shear rates. These substitute samples are prepared by mixing bentonite with water based on the in-situ vane shear strength of deep-sea sediments. A compressible viscoelastic fluid model is formulated based on the thermodynamic framework developed by Rajagopal and Srinivasa (2000) to describe the experimental response of bentonite-water mixture. Experimental responses indicate that the effects of slip are significant in the shear rheometry of bentonite-water mixture. Hence a slip model is proposed, which relates the shear stress to slip velocity at the wall and the imposed shear rate values. The slip boundary conditions coupled with the viscoelastic model is validated using experimental data and is observed to be in good agreement. Further, the influence of shear rate on interfacial slip has been numerically analyzed and slip effects are found to be significant in defining rheological behavior with increasing shear rates.
       
  • Nonparametric identification for hysteretic behavior modelled with a power
           series polynomial using EKF-WGI approach under limited acceleration and
           unknown mass
    • Abstract: Publication date: Available online 19 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Bin Xu, Jing Li, Shirley J. Dyke, Bai-Chuan Deng, Jia He Identifying damage initiation and development in engineering structures non-parametrically in the form of a nonlinear restoring force (NRF) after strong dynamic loading is attractive. Due to the individuality of various engineering structures, it is quite challenging to assume, in advance, a general parametric model describing the nonlinear behavior. Although a traditional extended Kalman filter (EKF) is efficient in state vector estimation and structural parameter identification with partially available output measurements, a known structural mass is usually required. In this study, a simultaneous NRF and mass identification approach is developed for multi-degree-of-freedom (MDOF) structures using the EKF with weighted global iteration (EKF-WGI) based on limited available absolute acceleration response. The NRF is modeled in a nonparametric way with a power series polynomial model (PSPM) as a function of unknown structural displacement and velocity responses. Then, the performance of the new approach is numerically evaluated using multi-story structures equipped with magneto-rheological (MR) dampers having known applied excitations and partially available noise-contaminated acceleration measurements, but unknown mass. No parametric model for the NRF of the MR dampers is employed. The effect of different noise levels and different initial estimation errors of structural mass on both NRF and mass identification results and the convergence of the approach are investigated. Finally, a dynamic test on a four-story frame structure equipped with an MR damper is carried out and the algorithm is experimentally validated. Comparisons show that the identified NRF provided by the MR damper matches the measurement and that the identified mass is also accurate.
       
  • A momentum subspace method for the model-order reduction in nonlinear
           structural dynamics: Theory and experiments
    • Abstract: Publication date: Available online 18 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Kautuk Sinha, Niels K. Singh, Mostafa M. Abdalla, Roeland De Breuker, Farbod Alijani The article proposes a method developed for model order reduction in a Finite Element (FE) framework that is capable of computing higher order stiffness tensors. In the method, a truncated third order asymptotic expansion is used for transformation of an FE model to a reduced system. The basis matrix in the formulation of the reduced-order model (ROM) is derived from linear mode shapes of the structure. The governing equations are derived using Hamilton’s principle and the method is applied to geometrically nonlinear vibration problems to test its effectiveness. An initial validation of the numerical formulation is obtained by comparison of results from time domain nonlinear vibration analyses of a rectangular plate using Abaqus. Subsequently, a stiffened plate is modelled to test a more complex structure and a continuation algorithm is used in combination with the ROM to compute nonlinear frequency response curves. The validation of the stiffened plate has been performed through comparisons with the results of nonlinear vibration experiments. The experiments are conducted with Polytec Laser Doppler Vibrometer and PAK MK-II measurement systems for large amplitude vibrations to validate the nonlinear vibration analyses.
       
  • Theoretical analysis of piezoelectric energy harvesting system with impact
           under random excitation
    • Abstract: Publication date: Available online 18 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Meng Su, Wei Xu, Ying Zhang A kind of mono-stable piezoelectric energy harvesting system with unilateral offset barrier under Gaussian white noise excitation is studied theoretically to reveal the physical mechanism in this paper. After utilizing the Zhuravlev transformation and the stochastic averaging method, stationary joint and marginal probability density functions of the displacement and velocity are obtained, as well as the equation of the mean square voltage. Stochastic response characteristics are discussed by analyzing the functions deducted previously. And the effectiveness of the theoretically approximate methods is validated by Monte Carlo simulation results. In addition, effects of the noise intensity, the restitution coefficient, the mechanical damping exponent, and the ratio coefficient between the mechanical and electrical time constant in the system on the mean square voltage are explored.
       
  • Multimodal vibration damping of nonlinear structures using multiple
           nonlinear absorbers
    • Abstract: Publication date: Available online 16 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): G. Raze, G. Kerschen This paper presents a tuning methodology for multiple nonlinear vibration absorbers that mitigate several nonlinear resonances simultaneously. Specifically, the objective is to maintain equal peaks in the frequency response for all controlled resonances in an as large as possible range of forcing amplitudes. Relying on an all-equal-peak design for linear regimes of motion and adopting a principle of similarity for nonlinear regimes, a semi-analytical expression of the absorber coefficients is derived using first-order harmonic balance and a series expansion of the harmonic coefficients. The proposed methodology is demonstrated numerically using two spring-mass systems.
       
  • Assessment of the vertical stiffness of elastomeric bearing due to
           displacement and rotation
    • Abstract: Publication date: Available online 15 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Ehsan Kazeminezhad, Mohammad Taghi Kazemi, Mohammad Mirhosseini The vertical stiffness of elastomeric bearing is a dominant parameter of the base isolation design. Several empirical relations have been used to calculate the vertical stiffness of the elastomeric bearing systems, although, in certain conditions such as the presence of rotation, these relations are not accurate enough. In this paper, by using a nonlinear finite element program, the effect of rotation on the vertical stiffness investigated. It was observed that the vertical stiffness of the isolator could be increased or decreased depending on the amount of rotation and the value of lateral displacement limit.
       
  • Variational formulation for models of shear shallow water flows and ideal
           turbulence
    • Abstract: Publication date: Available online 14 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Sergey L. Gavrilyuk, Henri Gouin The shallow water equations without shear effects are similar to the gas dynamics equations with a polytropic equation of state. When the shear effects are taken into account, the equations contain additional evolution equations mathematically analogous to those of the Reynolds stresses in turbulent flows of compressible fluids when the source terms are neglected (ideal turbulence). We show that the non-dissipative model of shear shallow water flows and the model of ideal turbulence admit a similar variational formulation where, in the both cases, the equations for the Reynolds stress tensor evolution are considered as non-holonomic constraints.
       
  • Analysis of flexible elastic–plastic plates/shells behavior under
           coupled mechanical/thermal fields and one-sided corrosion wear
    • Abstract: Publication date: Available online 10 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): J. Awrejcewicz, A.V. Krysko, E.Yu. Krylova, T.Y. Yaroshenko, M.V. Zhigalov, V.A. Krysko Mathematical models of a non-linear shallow shell subjected to mechanical and temperature fields and one-sided corrosion wear are proposed. The governing equations are yielded by Hamilton’s principle. The geometric and physical non-linearity follow the Föppl-Kármán approximation and the plastic deformation theory, respectively. Dolinskii and Gutman corrosion models as well as the Duhamel-Neumann model are implemented. The governing mixed-type PDEs are derived. The algorithm to solve the PDEs is based on the method of variational iterations (MVI) and linearization. Convergence of the developed procedure is proved. Theoretical considerations are validated by numerical results.
       
  • Finite rotation meshfree formulation for geometrically nonlinear analysis
           of flat, curved and folded shells
    • Abstract: Publication date: Available online 10 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): S. Sadamoto, M. Ozdemir, S. Tanaka, T.Q. Bui, S. Okazawa Geometrically nonlinear analysis of flat, curved and folded shells under finite rotations is performed by enhanced six degrees of freedom (6-DOFs) meshfree formulation. Curvilinear surfaces are dealt with the concept of convected coordinates. Equilibrium equations are derived by total Lagrangian formulation with Green–Lagrange strain and Second Piola–Kirchhoff stress. Both shell geometry and its deformation are approximated by Reproducing Kernels (RKs). Transverse shear strains are considered by Mindlin-Reissner theory. Numerical integration of the stiffness matrix is estimated by using the Stabilized Conforming Nodal Integration (SCNI) method. To show accuracy and effectiveness of the proposed formulation and discretization, benchmark problems from the literatures are considered. Apart from reference solutions available in the literature, additional reference results based on finite element method (FEM) conducted by the present authors are also presented.
       
  • Tristable capacitive microcantilever switches: Measurements and
           simulations
    • Abstract: Publication date: Available online 10 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Devin Kalafut, Anil Bajaj, Arvind Raman Multistability is a ubiquitous utilization of nonlinear behavior; light switches, retractable pens, and ratchets are just a few everyday examples. Today, micro- and nanomechanical devices exploit mechanical multistability in circuitry elements to benefit electrical signal manipulation. Multistability at these small scales arises from a competition of elastic, surface, and electrostatic forces. For capacitive microcantilever switches, bistable operation is already commonplace, but inherent tristability expands opportunities for switching, memory, and mechanism applications. Herein, tristability is demonstrated experimentally for 20 capacitive microcantilever switches, while measurement-enhanced simulations quantitatively capture switching thresholds. This work goes beyond prior literature theoretically predicting the tristability in switches to experimentally characterize this behavior in real microcantilever devices, and also to present ways to better validate theoretical predictions with experimental results.
       
  • A note on non-homogeneous deformations with homogeneous Cauchy stress for
           a strictly rank-one convex energy in isotropic hyperelasticity
    • Abstract: Publication date: Available online 9 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Eva Schweickert, L. Angela Mihai, Robert J. Martin, Patrizio Neff It has recently been shown that for a Cauchy stress response induced by a strictly rank-one convex hyperelastic energy potential, a homogeneous Cauchy stress tensor field cannot correspond to a non-homogeneous deformation if the deformation gradient has discrete values, i.e. if the deformation is piecewise affine linear and satisfies the Hadamard jump condition. In this note, we expand upon these results and show that they do not hold for arbitrary deformations by explicitly giving an example of a strictly rank-one convex energy and a non-homogeneous deformation such that the induced Cauchy stress tensor is constant. In the planar case, our example is related to another previous result concerning criteria for generalized convexity properties of conformally invariant energy functions, which we extend to the case of strict rank-one convexity.
       
  • An iterative improving procedure based on the first approximation of the
           linearization method above the phasecurve
    • Abstract: Publication date: Available online 3 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Attila Szilágyi, Gábor Simon, Gyula Patkó A general (applicable to arbitrary nonlinearity) linearization method above the phase curve is detailed in this paper. It is shown that the proposed method – based on the first harmonic approximation provided by the method itself – is capable of establishing the amplitudes of higher-order harmonics in order to improve the accuracy of the first approximation. The applicability of our method is demonstrated through the analytical-numerical analysis of well-known (cubic truly-nonlinear (TNL) and van der Pol) single-degree-of-freedom (SDOF), harmonically-forced nonlinear systems. The obtained results are compared with solutions in the literature that are considered to be exact. This comparison demonstrates the accuracy, efficiency and applicability of the proposed linearization procedure to arbitrary periodically-forced nonlinear vibrations. Thus, on the whole, the relevance of the method is justified.
       
  • Electrostatic arch micro-tweezers
    • Abstract: Publication date: Available online 3 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Ayman M. Alneamy, Mahmoud E. Khater, Ahmed K. Abdel Aziz, Glenn R. Heppler, Eihab M. Abdel-Rahman This paper presents a novel electrostatic micro-tweezers to manipulate particles with diameters up to 14 μm. The tweezers consist of two grip-arms mounted to an electrostatically actuated initially curved micro-beam. It exploits bistable equilibria, resulting from a snap-through instability, to close the separation distance between the two arms allowing them to grasp a large range of objects. The tweezers offer further control beyond the snap-through point, via electrostatic actuation, to increase pressure on larger objects or grasp smaller objects. The tweezers are fabricated in a p-type Silicon on Insulator (SOI) wafer. Euler–Bernoulli beam theory is utilized to derive the governing equation of motion taking into account the arms' rotary inertia and the electrostatic fringing field. A reduced-order model (ROM) is developed utilizing two, three and five symmetric modes in a Galerkin expansion. A finite element model (FEM) is also developed to validate the ROM and to study the arm tips' separation as a function of actuation voltage. The five-mode ROM is found to be convergent and accurate except in the vicinity of the snap-through saddle–node bifurcation. Our analysis shows that the tweezers can manipulate micro-particles with diameters ranging from 5 to 12 μm with an operating voltage range limited by the snap-back voltage 100.2 V and the pull-in voltage 153.2 V.
       
  • Progressive failure analysis of thick imperfect composite plates using
           nonlinear plate theory
    • Abstract: Publication date: Available online 1 October 2019Source: International Journal of Non-Linear MechanicsAuthor(s): S.A.M. Ghannadpour, N. Abdollahzadeh The work presented here alludes to the application of a semi-analytical method for ultimate strength predictions of square composite plates with geometric imperfections that are subjected to uniaxial in-plane compressive load. The Ritz method is developed with the assumptions of large deflections and higher-order shear deformation theory that accounts for through-the-thickness deformation. Therefore, some thick and relatively thick simply-supported square laminates are analyzed in this study. To obtain the ultimate strength of the plates, we consider two geometric degradation models to assess the degradation zone around the failed location. To predict the first ply failure load and also nonlinear response in the progressive damage analysis, we use the Hashin-Rotem failure criteria. We present results with respect to the number of plies, thickness of the laminates and different magnitudes of imperfection for some symmetric lay-ups.
       
  • A nonlinear model for a hanging cantilevered pipe discharging fluid with a
           partially-confined external flow
    • Abstract: Publication date: Available online 28 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): A.R. Abdelbaki, M.P. Païdoussis, A.K. Misra In this paper, a nonlinear theoretical model is developed for the dynamics of a flexible cantilevered pipe that is simultaneously subjected to internal and partially-confined external axial flows. The pipe under consideration discharges fluid downwards, which accumulates in a relatively large tank, and then flows upwards through a generally shorter annular region surrounding the pipe. Thus, the internal and external flows are interdependent and in opposite directions. A practical application of this system may be found in solution mining processes for brine production, and in the subsequent usage of the salt-mined caverns for hydrocarbon storage. The equation of motion is derived using the extended Hamilton’s principle to third-order accuracy with a separate derivation of the fluid-related forces associated with the internal and external flows. The equation is discretized using Galerkin’s scheme and solved via the pseudo-arclength continuation method and a direct time integration technique. Two pipes of different dimensions and materials are considered in this study; the stability of these pipes is investigated with increasing flow velocity. Also, the influence of varying the length and tightness of the annular region on the dynamical behaviour of the pipes is explored theoretically. The predictions of the proposed model are compared to experimental observations from the literature for systems with the same parameters as those considered in this paper, as well as to predictions of an earlier linear theory. The results obtained are in excellent qualitative and good quantitative agreement with the experimental observations. Furthermore, this model predicts the frequencies of oscillation more accurately than linear theory.
       
  • A parametric study on the nonlinear dynamic response of paper-based
           mechanical systems due to liquid transport
    • Abstract: Publication date: Available online 27 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Isaias Cueva-Perez, Angel Perez-Cruz, Ion Stiharu, Aurelio Dominguez-Gonzalez, Miguel Trejo-Hernandez, Roque Alfredo Osornio-Rios In recent years, the mechanical response of paper when interacting with liquids has been investigated. Nonlinear phenomena inherent to paper-liquid interaction such as the Young modulus relaxation, hygrostrain and liquid transport have been considered. However, the mechanical response of paper has only been studied for a static or quasi-static bending response. In this work, a parametric study is presented to study the dynamic response of paper-based mechanical systems interacting with liquids. A three-dimensional multiphysics model is implemented and solved in COMSOL® to couple the liquid transport and the mechanical response problem. The Richard’s model and an elasticity formulation are used to describe the liquid transport and the mechanical problem respectively. Three parameters are selected from this model in order to describe the dynamic response of paper. The influence of each parameter on the dynamic response is also determined. This model is validated experimentally with resonance frequency measurements on paper-based cantilever beams using three water-ethanol solutions. The results show that this model can be used to describe the drying process of paper-based devices under dynamic loads. This study can lead to the development of low-cost devices for liquid characterization.
       
  • Magnetorheological Fluids: Qualitative comparison between a mixture model
           in the Extended Irreversible Thermodynamics framework and an
           Herschel–Bulkley experimental elastoviscoplastic model
    • Abstract: Publication date: Available online 26 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Mario Versaci, Annunziata Palumbo A well-known mixture approach treats magnetorheological materials as mixtures composed of a fluid continuum and an equivalent solid continuum. In the framework of extended irreversible thermodynamics, this obtains a complete physical-mathematical model characterized by interesting evolutionary constitutive equations which, in the pre-yield region, show the co-presence of elastic, viscoelastic, and viscoplastic behaviors. Due to its high computational complexity, it is necessary to find a qualitatively corresponding model that, under the same conditions, provides easy-to-implement evolutionary constitutive equations. In this paper, the authors verify the correspondence of the simple shear flow and thinning behavior of the Herschel–Bulkley plastic component (predominant in the pre-yielding region) from a known experimental model with a reduced computation load with elastoviscoplastic generalization under the framework of generalized standard materials.
       
  • A total Lagrangian elasticity formulation for the nonlinear free vibration
           of anisotropic beams
    • Abstract: Publication date: Available online 25 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Paul R. Heyliger, Abdullah Asiri The large amplitude free vibration response of isotropic and anisotropic beams is considered using a total Lagrangian description of the motion along with Ritz-based approximations to the dynamic statement of virtual work. Results are presented for both axial and bending modes and are compared with existing results in the literature using various formulations along with a finite element solution of the Euler–Bernoulli beam with Föppl-von Karman nonlinearity. Results from the present formulation include all nonlinear strain terms and give frequency ratios that are in excellent agreement with both Euler–Bernoulli and higher order beam theories for slender beams under small amplitudes but grow noticeably higher than those of other beam models as the beam becomes thick and the amplitude of vibration increases.
       
  • Introducing article numbering to International Journal of Non-Linear
           Mechanics
    • Abstract: Publication date: December 2019Source: International Journal of Non-Linear Mechanics, Volume 117Author(s): Frauke Muenzel
       
  • Extended Prelle-Singer procedure and Darboux polynomial method: An unknown
           interconnection
    • Abstract: Publication date: Available online 23 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): M. Manoranjani, R. Mohanasubha, V.K. Chandrasekar, M. Senthilvelan In this work, we present a new systematic procedure to derive two integrals from a Darboux polynomial for the given second order nonlinear ordinary differential equation (ODE). We succeed it by exploring an interlink between Darboux polynomial (DP) and the extended Prelle–Singer procedure (PS) quantities, namely null forms and integrating factors. We demonstrate the interconnection with suitable examples.
       
  • Morphable structures from unicellular organisms with active,
           shape-shifting envelopes: Variations on a theme by Gauss
    • Abstract: Publication date: Available online 23 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Giancarlo Cicconofri, Marino Arroyo, Giovanni Noselli, Antonio DeSimone We discuss some recent results on biological and bio-inspired morphing, and use them to identify promising research directions for the future. In particular, we consider issues related to morphing at microscopic scales inspired by unicellular organisms. We focus on broad conceptual principles and, in particular, on morphing approaches based on the use of Gauss’ theorema egregium (Gaussian morphing). We highlight some connections with biological cell envelopes containing filaments and motors, and discuss ideas for the implementation of Gaussian morphing in surfaces actuated by active shearing or stretching.
       
  • Nonlinear dynamics of an inclined FG pipe conveying pulsatile hot fluid
    • Abstract: Publication date: Available online 20 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Rajidi Shashidhar Reddy, Satyajit Panda, Abhay Gupta In this theoretical work, the nonlinear dynamics of a pinned-pinned inclined functionally graded (FG) pipe conveying pulsatile hot fluid is investigated. The equation of motion of the FG pipe is derived based on the Euler–Bernoulli beam theory and plug-flow model, and that is subsequently solved using Galerkin discretization in conjunction with the incremental harmonic balance/Runge–Kutta method. First, the divergence of the FG pipe is investigated where it is mainly revealed that the inclination of the pipe with the vertical axis yields buckling at a higher temperature while the type of the associated bifurcation changes from pitchfork to saddle–node bifurcation. On the basis of this static instability, the pre- and post-buckled equilibriums of the inclined FG pipe are identified, and its nonlinear dynamics associated with each of these equilibrium states is subsequently studied based on the variations of some system parameters namely inclination angle, temperature, graded exponent of FG material, mean flow velocity, amplitude of pulsatile flow velocity and material damping. The corresponding results reveal some notable nonlinear dynamic characteristics of the inclined FG pipe like the appearance of both the principal primary and secondary parametric resonances in the pre-buckled state, exchange between softening and hardening structural behavior through period doubling/period demultiplying/fold bifurcation, movement of saddle periodic orbit with temperature leading to the unequal domains of attraction over the post-buckled equilibriums and the appearance higher order parametric resonances at low material damping.
       
  • Multi-stable nonlinear energy sink for rotor system
    • Abstract: Publication date: Available online 12 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Hongliang Yao, Yuwei Wang, Yanbo Cao, Bangchun Wen A multi-stable nonlinear energy sink (MNES) with piecewise linear stiffness and magnet negative stiffness is developed to suppress the vibration of unbalanced rotor system. The specific structure of the MNES is developed, and the working principles of the piecewise linear stiffness and negative stiffness are introduced. Then, the dynamic equations of the rotor-MNES system are established. Based on these, the transient and steady state responses of the rotor-MNES system are numerically studied. In addition, the vibration suppression ability of the MNES is analyzed and compared with that of bi-stable nonlinear energy sink (BNES). Finally, experiments are carried out to verify the effectiveness of the MNES. The numerical and experimental results show that the designed MNES has a strong vibration suppress ability and can withstand a wide range of energy.
       
  • On thermo-viscoelastic experimental characterisation and numerical
           modelling of VHB polymer
    • Abstract: Publication date: Available online 9 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Zisheng Liao, Mokarram Hossain, Xiaohu Yao, Markus Mehnert, Paul Steinmann Recently, the so-called Very High Bond (VHB in short) tape has proven to be an ideal polymer for producing devices made of electric field-responsive functional materials, e.g., actuators in soft robotics, stretch sensors in wearable devices, and energy harvesters generating power from ambient motions. The VHB polymer is commercially available in several thicknesses. For this study, we have selected VHB 4905 due to its wide use as a common material for dielectric elastomers. The acrylic-based polymer is highly deformable, extremely viscoelastic, and highly sensitive to temperature fluctuations. Hence, in order to understand its mechanical and electro-mechanical behaviour, extensive experiments need to be conducted to unravel temperature dependencies in addition to strain-rate dependences. In this study, we present a wide variety of temperature experiments ranging from -30°C to 80°C at various strain rates and stretch levels under homogeneous deformation and temperature fields. The study demonstrates a pronounced influence of the temperature on the mechanical response of the VHB polymer. For VHB within the temperature range of our study, an increased temperature mechanically softens the material and vice-versa. After conducting a wide range of experiments, we propose a finite strain thermo-viscoelastic constitutive model that is an extension of a phenomenologically-motivated model where a non-linear evolution law is devised based on the classical concept of the multiplicative decomposition of the deformation gradient. Then, decoupled one-dimensional equations are derived and fitted to experimental data to identify relevant material parameters appearing in the model. The thermo-viscoelastic model validation shows its reasonably good capability to predict the experimental results.
       
  • On discontinuous dynamics of a 2-DOF oscillator with an one-sided rigid
           obstacle
    • Abstract: Publication date: Available online 5 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Jinjun Fan, Chunliang Li, Zhaoxia Yang, Shoulian Chen, Jing Cao, Chenjing Dou A 2-DOF (two-degree-of-freedom) oscillator with an one-sided rigid obstacle in the presence of dry friction and external excitations is presented. Based on friction and the unilateral rigid barrier, the different motions for the masses, i.e., free-flight or nonstick, stick, stuck and impact motions, are discussed, and the different domains are obtained by partitioning the phase spaces. Then the analytical conditions are given for the switching of the above mentioned four motion states. By defining mapping structures and different generic mappings, the periodic motions of this system are developed. Numerical simulations are used to study the grazing, stick, nonstick, stuck and specified periodic motions. The investigation on such system is of great significance to the optimization design of engineering systems with one-sided rigid obstacle.
       
  • Fibrous soft tissues damage evaluation with a coupled
           thermo-visco-hyperelastic model
    • Abstract: Publication date: Available online 2 September 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Arash Mohammadali Zadeh Fard, Farid Vakili-Tahami We model the thermo-visco-hyperelastic behavior of soft tissues using a thermodynamic framework. For this purpose, we develop a rheological model which can predict the stress–stretch behavior as well as the temperature variation due to visco-hyperelasticity and rate-dependent damage of the matrix and fibers. In a second stage, we carry out a set of cyclic uniaxial tensile tests to provide experimental data and calculate the material constants for the constitutive model utilizing the genetic algorithm. Later, with the purpose of validation, we determine the stress–stretch relation, and determine the temperature change in another series of experiments, and draw comparisons with the model predictions. The results show that the material behavior strongly depends on the temperature, strain rate and also the fiber’s direction. We determine that the temperature change is more significant at high strain rate and initial temperature levels and that it is necessary to use the developed coupled model.
       
  • Analysis of an impact-driven capsule robot
    • Abstract: Publication date: Available online 30 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): A.P. Ivanov A mobile device without external moving parts is considered. Its displacement is caused by controlled motion of an internal mass and external friction. Applications include medical diagnostics, inspection of pipelines, and exploration of other planets. The essence of the proposed model lies in collisions between the moving mass and the shell of the robot. It is shown that with a proper control pattern the device can move with an arbitrarily large velocity bounded only by the motor capacity. Moreover, the motion is possible even in the case of a weak motor: this property is caused by a remarkable feature of mechanical impact, which is that it creates a large force due to the accumulation of small forces, similar to that of a hammer.
       
  • Compact and unified elasto-plastic formulation to study isotropic plates
    • Abstract: Publication date: Available online 22 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): J.L. Mantari, F.G. Canales We introduce a compact and unified shear deformation theory for plates with elasto-plastic behavior. We formulate the kinematics of the two-dimensional structure in a compact and unified manner using the Carrera Unified Formulation. This formulation allows for generalized expansions of the primary variables and through-the-thickness functions. We obtain the governing equations using the principle of virtual work and a finite element discretization. We solve the nonlinear equations using a Newton–Raphson linearization scheme, and linearize the constitutive equations using the algorithmic tangent moduli. We consider the J2 flow theory of plasticity, and use a backwards Euler scheme to update the stresses. We analyze the convergence, and compare the effectiveness of the Mixed Interpolation of Tensorial Components technique in contrasting the shear locking phenomenon in the nonlinear regime to the use of full and uniform reduced integration. We also conduct numerical assessments for plates under uniform and line loads. We compare the present results to those obtained by finite element commercial software, and demonstrate the computational efficiency of the present method.
       
  • Finite element steady state solution of a beam on a frictionally damped
           foundation under a moving load
    • Abstract: Publication date: Available online 16 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): F.M.F. Simões, A. Pinto da Costa The application of beams on foundation models subjected to moving loads in the engineering analysis of high-speed railway tracks requires a realistic characterization of the foundation behavior. In particular, the dissipative frictional character of the substructure of a railway track should be taken into account. In this paper, the steady state responses of a Euler–Bernoulli beam under a moving load on a foundation composed of a continuous distribution of linear elastic springs associated in parallel with a continuous distribution of Coulomb frictional dampers are computed. The steady state of the beam is governed by a partial differential inclusion that is semi-discretized in space, using a Discontinuous Least-Squares Finite Element Method (DLSFEM), as a system of ordinary differential inclusions, and integrated using a special implementation of the Non-Smooth Contact Dynamics method (NSCD) adapted to distributed Coulomb friction. The steady state solutions are then obtained for different values of the maximum force per unit length of the frictional dampers and for different values of the load velocity at both subcritical and supercritical regimes. It is found that the NSCD-DLSFEM produces consistent and accurate numerical outcomes in a wide range of the mechanical parameters that may be of interest in high-speed railway tracks engineering.
       
  • Feasibility study of a resonant accelerometer with bistable
           electrostatically actuated cantilever as a sensing element
    • Abstract: Publication date: Available online 16 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Omer HaLevy, Naftaly Krakover, Slava Krylov We report on a feasibility study of a resonant accelerometer incorporating fringing electrostatic fields actuated cantilever serving as a sensing element. Device’s dynamics are described using the reduced order (RO) Galerkin and numerical finite differences (FD) models, the finite elements (FE) analysis is used for the evaluation of the electrostatic forces. The architecture of the electrodes designed to be thicker than the cantilever allows tuning of the beam behavior in a wide range, starting from linear and up to bistable responses. By choosing an appropriate value of the actuating voltage close to the bistability threshold the cantilever can be positioned in the configuration where the frequency sensitivity of the device to the electrode’s deflection is enhanced while the frequency itself is higher than in the initial inactuated state. In accordance with the model results, by integrating the bistable cantilever with a proof mass, it is possible to design a highly sensitive resonant accelerometer with the state of the art performance.
       
  • Nonlinear implementation of Finite Fracture Mechanics: A case study on
           notched Brazilian disk samples
    • Abstract: Publication date: Available online 14 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Aurélien Doitrand, Alberto Sapora We formalize the coupled criterion (CC) in the framework of Finite Fracture Mechanics (FFM) to take into account the material nonlinear behavior. Once the true stress–strain curve is recorded, we estimate the Ramberg-Osgood (RO) parameters. We then exploit these values in the FFM numerical implementation, considering both an average stress requirement and the energy balance. As a case study, we consider experimental data on Brazilian disks containing a circular hole and involving two materials - PMMA and GPPS. The computational effort of the analysis increases with respect to the linear elastic case, but keeps reasonable. On the other hand, the nonlinear FFM investigation allows a significant improvement of the failure stress predictions, especially those related to smaller holes corresponding to a more pronounced nonlinear behavior detected during tests.
       
  • Rotary-oscillatory nonlinear energy sink of robust performance
    • Abstract: Publication date: Available online 14 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Adnan S. Saeed, Mohammad A. AL-Shudeifat, Alexander F. Vakakis The rotary nonlinear energy sink (NES) reported in the literature is inertially coupled to an associated linear primary structure by a rigid rotating arm. In this work, the rigid coupling arm is replaced by an elastic arm, with a linear coupling radial stiffness element used to provide the rotating NES with the added capacity for radial oscillation in order to achieve robust performance concerning passive nonlinear energy transfer and dissipation. Accordingly, the NES mass in addition to rotating about a fixed vertical axis, is now capable of oscillating in the radial direction along the coupling arm as well. In accordance to this structural modification, the resulting NES is referred to as rotary-oscillatory NES (RO NES), and as such, is capable of dissipating the transferred energy from the linear primary structure through its angular and radial damping elements during its combined angular rotation and radial oscillation. Moreover, this new NES configuration enables enhanced energy absorption and dissipation over a wide range of initial input energies. The optimized RO NES is compared to the corresponding optimized rotary NES, with the numerical results showing significant improvement in NES performance. In addition, the effectiveness of the RO NES to passively ‘redistribute’ the modal energies of the primary structure by means of nonlinear energy scattering of the input energy from low to high structural modes is studied.
       
  • Hybrid numerical approach to study the interaction of the rarefied gas
           flow in a microchannel with a cantilever
    • Abstract: Publication date: Available online 14 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Kiril Shterev, Emil Manoach, Stefan Stefanov Numerical approach and computer code are developed to study 2D rarefied gas flow in a microchannel having an elastic obstacle. A Couette rarefied gas flow passing an elastic beam clamped to the fixed bottom wall is considered as a test case. The gas flow is simulated by the direct simulation Monte Carlo (DSMC) method applying the advanced Simplified Bernoulli Trial (SBT) scheme. The elastic obstacle is modelled as a geometrically nonlinear Euler Bernoulli beam. The beam displacements and velocities are synchronized in both models. The proposed approach guarantees a full coupling of gas-elastic beam interaction for unlimited time of simulation. The influence of the gas flow on the beam vibration is studied for a long period of simulation. The amplitude of vibration and the frequency response functions are strongly influenced by the velocity of the flow.
       
  • Electrostatically tunable small-amplitude free vibrations of pressurized
           electro-active spherical balloons
    • Abstract: Publication date: Available online 13 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Renwei Mao, Bin Wu, Erasmo Carrera, Weiqiu Chen Designing tunable resonators is of practical importance in active/adaptive sound generation, noise control, vibration isolation and damping. In this paper, we propose to exploit the biasing fields (induced by internal pressure and radial electric voltage) to tune the three-dimensional and small-amplitude free vibration of a thick-walled soft electro-active (SEA) spherical balloon. The incompressible isotropic SEA balloon is characterized by both neo-Hookean and Gent ideal dielectric models. The equations governing small-amplitude vibrations under inhomogeneous biasing fields can be linearized and solved in spherical coordinates using the state-space formalism, which establishes two separate transfer relations correlating the state vectors at the inner surface with those at the outer surface of the SEA balloon. By imposing the mechanical and electric boundary conditions, two separate analytical frequency equations are derived, which characterize two independent classes of vibration for torsional and spheroidal modes, respectively. Numerical examples are finally conducted to validate the theoretical derivation as well as to investigate the effects of both radial electric voltage and internal pressure on the resonant frequency of the SEA balloon. The reported analytical solution is truly and fully three-dimensional, covering from the purely radial breathing mode to torsional mode to any general spheroidal mode, and hence provides a more accurate prediction of the vibration characteristics of tunable resonant devices that incorporate the SEA spherical balloon as the tuning element.
       
  • Multiplicative noise induced intermittency in maps
    • Abstract: Publication date: Available online 13 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): S. Krishna Kumar, Sunetra Sarkar, Sayan Gupta The phenomenon of multiplicative noise induced intermittency (mNII) observed due to random temporal fluctuations in the system parameters of nonlinear dynamical systems is investigated using maps. Generic conditions for the onset and disappearance of mNII are derived. The role of correlation in the noise is investigated. The phenomenon of mNII is interpreted in terms of stochastic bifurcations as well. The developments are verified through numerical results for a set of simple1-d maps. Further, through a numerical example involving an aeroelastic system, it is shown that the proposed results are applicable for analysis of complicated engineering systems by considering Poincáre maps from the times histories of the response.
       
  • Failure of soft dielectric membrane with a hole subjected to mechanical
           and electric loads
    • Abstract: Publication date: December 2019Source: International Journal of Non-Linear Mechanics, Volume 117Author(s): Tenghao Yin, Peng Wang, Honghui Yu, Shaoxing Qu Dielectric elastomer (DE) attracts more and more attentions as soft membrane structures in engineering and biological fields, due to its lightweight and fast response under external electric field. In this paper, we study the deformation and failure of a DE membrane analytically and experimentally with a central circular hole actuated by both mechanical and electric loads. The size of the deformed hole in the experiments agrees well with the analytical prediction. The first invariant of the right Cauchy–Green deformation tensor is adopted to predict the mechanical failure of the membrane. The evolution of the hole and the failure modes of the membrane structure under different loading conditions are thoroughly investigated. We show that instead of reducing the load capacity, the applied voltage actually increases the maximum mechanical load that the membrane structure can carry. This work can help the design of the membrane structure with a hole and avoid the failure of the structure, which is very important for the membrane applications.
       
  • Hopf bifurcation in a prey–predator model with constant delay
    • Abstract: Publication date: December 2019Source: International Journal of Non-Linear Mechanics, Volume 117Author(s): Xin Zhang In this paper, we studied a prey–predator interaction model with discrete delay to the time in both theoretical and numerical ways. Firstly, we incorporated a discrete time delay between the capture of the prey by the predator and its conversion to predator biomass into the model. Furthermore, we choose the delay as the bifurcation parameter and give stability analysis for the positive equilibrium of the delayed model in theoretical aspect. Finally, the predator will die out as the increasing of the delay, before extinction of the predator, the abundance of dynamical behaviors such as supercritical Hopf bifurcation is detected by computer simulations using the numerical continuation package DDE-BIFTOOL. The analysis and observations in this paper are interesting both in mathematical and biological research area.
       
  • Strain-induced phase transformation in poly(lactic acid) across the glass
           transition: Constitutive model and identification
    • Abstract: Publication date: Available online 9 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Hanen Mahjoubi, Fahmi Zaïri, Zoubeir Tourki Poly(lactic acid) (PLA) is one of the most popular environmental-friendly materials derived from renewable agricultural resources. One of the most important features of this biomaterial is its ability to develop a phase transformation under straining. Two strain-induced phases can potentially form, namely mesomorphic and crystalline, whose respective occurrence is highly temperature and rate-dependent. The aim of the present contribution is to provide a quantitative predictive modeling of this phenomenon. A large-strain constitutive model is proposed to describe the strain-induced phase transformation in PLA along with the stress–strain behavior over a wide range of straining temperatures across the glass transition involving glassy to rubbery response. The material response is decomposed into two physically distinct sources, an elastic-viscoplastic intermolecular resistance to deformation and a viscohyperelastic molecular network resistance to stretching and chain orientation. The effective contribution of the amorphous, mesomorphic and crystalline phases to the intermolecular resistance is treated in a composite framework considering a three-phase representation of the microstructure. Using experimental data of an initially amorphous PLA extracted from the literature, the dual-phase transformation kinetics is designed and the properties of each phase were isolated. The proposed model is found to successfully capture the important features of the experimental observations in terms of strain-induced phase transformation and mechanical response over a large strain range, a wide range of temperatures and two strain rates. The model is then used to discuss some important aspects of the connection between the phenomenon of phase changes and the material response.
       
  • High fidelity simulation and validation of crossflow through a tube bundle
           and the onset of vibration
    • Abstract: Publication date: Available online 8 August 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Landon Brockmeyer, Elia Merzari, Jerome Solberg, Kostas Karazis, Yassin Hassan Flow induced vibrations can be detrimental to all manner of engineering applications with fluid flow. Heat exchangers with bundles of thin tubes experiencing a crossflow are especially susceptible to the unexpected onset of vibration. Heat-exchanger design necessarily involves extensive modeling and testing to ensure that significant vibrations cannot develop for any expected flow conditions. A properly validated numerical simulation can work in conjunction with physical experiments to identify problematic vibrations and allow for rapid iteration of design at relatively low expense. A high-fidelity fluid–structure interaction code has been developed by fully coupling CFD LES/DNS code Nek5000 and CSM code Diablo. The coupled code is used to simulate crossflow through a tube bundle in a geometry recreated after a physical experiment. Validation against this experiment involves comparing the amplitude and frequency spectrum for three different flow velocities. The velocities compared straddle the onset of large magnitude vibrations. The simulation accurately captures the onset of the vibrations with a marginally lower predicted frequency of vibration. When the onset velocity is compensated for the difference in natural frequency, the simulation results closely match the experiment. The continuous nature of the simulation measurements helps illustrate the fluid mechanics behind the pin motion and reveals the front to back propagation of the vibrations as the fluid velocity increases.
       
  • p system+with+damping&rft.title=International+Journal+of+Non-Linear+Mechanics&rft.issn=0020-7462&rft.date=&rft.volume=">Solution of generalized Riemann problem for hyperbolic p − system with
           damping
    • Abstract: Publication date: Available online 31 July 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Rahul Kumar Chaturvedi, Pooja Gupta, L.P. Singh The aim of this paper is to determine the exact solution of the generalized Riemann problem for the 2 × 2 hyperbolic p−system with linear damping. Differential constraint method is used to find the solution of the system of governing equations. Also, consistency conditions and constraint equations for the hyperbolic system are obtained. Further, we solve the generalized Riemann problem of non-homogeneous hyperbolic p−system which involves discontinuous initial data.
       
  • A study of the generalization of the three-dimensional model of nonlinear
           hydroacoustics of Khokhlov–Zabolotskaya–Kuznetsov in a cubic-nonlinear
           medium in the presence of dissipation
    • Abstract: Publication date: Available online 31 July 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Yu. A. Chirkunov This article is devoted to the study of the generalization of the Khokhlov-Zabolotskaya-Kuznetsov model (3KZK) of nonlinear hydroacoustics in a cubic-nonlinear medium in the presence of dissipation. This model is described by third order quasilinear partial differential equation (3KZK). We obtained that the (3KZK) equation admits an eight parametric Lie group of the transformations. The submodels of the (3KZK) model are described by the invariant solutions of the (3KZK) equation. We have studied all essentially distinct, not linked by means of the point transformations, invariant solutions of rank 1 of this equation. The invariant solutions of rank 1 are found either explicitly, or their search is reduced to the solution of the nonlinear integro-differential equations. For example, we obtained the invariant solutions that we called by “First ultrasonic needle” and “Second ultrasonic needle”. The submodels described by this solutions have the following property: at each fixed moment of the time in the field of the existence of the solutions, near some point, the pressure increases and becomes infinite in this point. These submodels can be used, in particular, in medicine as a test in preparing for the operations with a help of an ultrasound. Also we obtained the invariant solutions that we called by “First ultrasonic knife” and “Second ultrasonic knife”. The submodels described by these solutions have the following property: at each fixed moment of the time in the field of the existence of the solution, near some plane the pressure increases and becomes infinite on this plane. The same as Ultrasonic needles, these submodels can be used, in particular, in medicine as a test in preparing for the operations with a help of an ultrasound. The presence of the arbitrary constants in the integro-differential equations, that determine invariant solutions of rank 1 provides a new opportunities for analytical and numerical study of the boundary value problems for the received submodels, and, thus, for the original (3KZK) model. With a help of these invariant solutions we researched a propagation of the intensive acoustic waves (one-dimensional, axisymmetric and planar) for which the acoustic pressure, speed and acceleration of its change are specified at the initial moment of the time at a fixed point. Under the certain additional conditions, we established the existence and the uniqueness of the solutions of boundary value problems, describing these wave processes. The graphs of the pressure distribution obtained as a result of numerical solution of these boundary problems are given. A mechanical relevance of the obtained solutions is as follows: 1) these solutions describe in a cubic-nonlinear medium with dissipation the nonlinear and diffraction effects in ultrasonic fields of a special kind, 2) these solutions can be used as a test solutions in the numerical calculations, performed in studies of ultrasonic fields generated by powerful emitters in a cubic-nonlinear medium with dissipation. Application of the obtained formulas generating the new solutions for the found solutions gives the families of the solutions containing the arbitrary constants.
       
  • Magneto-induced remodelling of fibre-reinforced elastomers
    • Abstract: Publication date: Available online 30 July 2019Source: International Journal of Non-Linear MechanicsAuthor(s): J. Ciambella, P. Nardinocchi Fibre-reinforced elastomers are a class of elastomeric materials with peculiar mechanical properties. If the fibres are metallic or metallic-coated their orientation can be controlled by applying a magnetic field during the curing phase of the elastomer so to tailor the material anisotropy. Once the elastomer is cured, the application of a magnetic field may be used to control the deformation of the solid. In this paper, we aim at modelling both the pre-curing and post-curing phases within a unifying framework compatible with nonlinear elasticity and growth theory. The coupling between elasticity and magnetic field is obtained by considering a proper form of the free energy density which accounts for the mutual orientation between the magnetic field and the fibres. By considering some asymptotic limits, it is shown that the proposed approach incorporates both the usual magneto-elastic model of solids as well as those models used to study the magnetic reorientation of fibres in viscous solutions.
       
  • Denoising identification for nonlinear systems with distorted streaming
    • Abstract: Publication date: Available online 26 July 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Xiaoxu Zhang, Jinchen Ji, Jiangsong Fu, Jian Xu Streaming usually happens in systems with asymmetric nonlinearity. It is a dynamic phenomenon that the midpoint of the motion shifts away from the equilibrium point of the system. It is also an ultra-low-frequency process so that its observation often distorts because of signal acquisition limitations. Extensive studies have shown that the precision of parameter identification will drop greatly if this distortion is not accurately corrected. Motivated by the intention of enhancing the parameter identification’s precision via signal correction, the present paper proposes a novel approach called the orthonormal Legendre polynomial based denoising identification method (OLP-DIM). In this method, the distorted response is decomposed by the orthonormal Legendre polynomials. The polynomial coefficients corresponding to the distortion are treated as uncertain parameters and then jointly identified with the system parameters. Numerical and experimental examples with different responses show that the OLP-DIM returns parameters in excellent precision and, distinct from traditional parameter identification methods, accurately recovers the system’s streaming.
       
  • A Fibre Smart Displacement Based (FSDB) beam element for the nonlinear
           analysis of reinforced concrete members
    • Abstract: Publication date: Available online 19 July 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Bartolomeo Pantò, Davide Rapicavoli, Salvatore Caddemi, Ivo Caliò Beam finite elements for non linear plastic analysis of beam-like structures are formulated according to Displacement Based (DB) or Force Based (FB) approaches. DB formulations rely on modelling the displacement field by means of displacement shape functions. Despite the greater simplicity of DB over FB approaches, the latter provide more accurate responses for those requiring a coarser mesh. In order to fill the existing gap between the two approaches, improvement of the DB formulation without the introduction of mesh refinement, is necessary. To this aim, the authors recently provided a contribution to the improvement of the DB approach by proposing new enriched, adaptive displacement shape functions, leading to the Smart Displacement Based (SDB) beam element.In this paper the SDB element is extended to include the axial force-bending moment interaction, crucial for the analysis of reinforced concrete (r/c) cross sections. The proposed extension requires the formulation of discontinuous axial displacement shape functions which are dependent on the diffusion of plastic deformations. The stiffness matrix of the extended smart element is provided explicitly and is dependent on the displacement shape functions updating. The axial force-bending moment interaction is approached by means of a fibre discretization of the r/c cross section. The extended element, addressed as Fibre Smart Displacement Based (FSDB) beam element, is shown to be accurate furthermore, it is accompanied by an optional procedure proposal in order to verify the strong equilibrium of the axial force along the beam element, which is not usually accomplished by DB beam elements. Given a fixed mesh discretization, the performance of the FSDB beam element is compared with the DB approach to show the higher degree of accuracy in the proposed element.
       
  • A consistent Timoshenko hysteretic beam finite element model
    • Abstract: Publication date: Available online 12 July 2019Source: International Journal of Non-Linear MechanicsAuthor(s): M. Amir, K.G. Papakonstantinou, G.P. Warn A parametrized Timoshenko hysteretic beam finite element model is developed, using consistent two-node elements, to efficiently simulate the nonlinear behavior of structures. New displacement interpolation functions are derived that satisfy both the exact equilibrium and kinematic conditions. Therefore, strain field continuity along the beam element is achieved, resulting in a consistent formulation without shear locking effects. Multiaxial interactions are considered through yield/capacity functions and distributed plasticity is accounted for by appropriate hysteretic interpolation functions. The suggested interpolation functions yield constant element matrices that do not require updating throughout the analysis, and the nonlinearities are captured in terms of hysteretic curvatures, axial and shear deformations, which are set to evolve through ordinary differential equations. A computationally efficient solution scheme is also suggested, without requiring any linearization, to straightforwardly solve the resulting system of equations for quasi-static problems. The consistency, efficiency, versatility and validity of the suggested model is explained in detail and demonstrated through several numerical examples and comparisons with experimental data from available tests.
       
  • Self-similar waves in a three-dimensional porous medium in the presence of
           non-stationary singular source or absorption
    • Abstract: Publication date: Available online 24 June 2019Source: International Journal of Non-Linear MechanicsAuthor(s): Yu.A. Chirkunov We study an important for applications a model of three-dimensional porous medium in the presence of non-stationary singular source or absorption. We obtained all invariant submodels of this model. These submodels are described by invariant solutions. We found that among the invariant solutions of rank 1, this model has only three types of essentially different (not connected by point transformations) self-similar waves. These waves include: a self-similar wave, propagating in a porous medium along one of the axes of coordinates, a plane self-similar circular wave and a self-similar spherically symmetric wave. We obtained containing arbitrary constant, integral equations describing these self-similar waves. We established the existence and uniqueness of self-similar waves for which at an initial instant of the time at a fixed point, or on a fixed circle, or on a fixed sphere, either a pressure and rate of its change, or a pressure and its gradient are given. The pressure distribution graphs, obtained as results of a numerical solution of these boundary value problem, are given. The obtained results can be used to study to describe the processes associated with a underground fluid or gas flow, with water filtration, with the engineering surveys in the construction of the buildings, and also with shale oil and gas production.
       
 
 
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