Potential Method in Mathematical Theories of Multi-Porosity Media

DOI10.1007/978-3-030-28022-2zbMath1481.74007OpenAlexW2982770321MaRDI QIDQ5194787

M. Zh. Svanadze

Publication date: 17 September 2019

Published in: Interdisciplinary Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28022-2

zbMATH Keywords

existenceelasticityuniquenessfundamental solutionthermoelasticitysingular integral equationGreen identityGalerkin solutionmulti-porosity medium

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) PDEs in connection with mechanics of deformable solids (35Q74) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

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Wave propagation and attenuation in time in local thermal non-equilibrium triple porosity thermoelastic medium ⋮ Effective properties of two-dimensional dispersed composites. II: Revision of self-consistent methods ⋮ Quasi-static problems in the coupled linear theory of elasticity for porous materials ⋮ Explicit solutions of quasi-static problems in the coupled theory of poroelasticity ⋮ Waves in the theory of elasticity for triple porosity materials ⋮ Problems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materials ⋮ Explicit solution of the Dirichlet boundary value problem of elasticity for porous infinite strip ⋮ Dynamic problems for elastic bodies with double voids ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Steady vibration problems in the coupled linear theory of porous elastic solids ⋮ Thermoelastic waves in double porosity materials ⋮ Potential method in the coupled theory of elastic double-porosity materials ⋮ Stability in Kelvin-Voigt poroelasticity

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