Method of potentials in elastostatics of solids with double porosity

DOI10.1016/j.ijengsci.2014.04.011zbMath1423.74096OpenAlexW2058742919MaRDI QIDQ1627142

Dorin Ieşan

Publication date: 22 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2014.04.011

zbMATH Keywords

fundamental solutionsexistence and uniqueness theoremsboundary-value problemsporous elastic materialspotentials of single-layer and double-layer

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (14)

Foreword to special issue on ``Qualitative methods in engineering science ⋮ Fundamental solutions in the theory of elasticity for triple porosity materials ⋮ Steady vibration problems in the theory of elasticity for materials with double voids ⋮ On the solutions of quasi-static and steady vibrations equations in the theory of viscoelasticity for materials with double porosity ⋮ Unnamed Item ⋮ In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials ⋮ Potential method in the linear theory of triple porosity thermoelasticity ⋮ Unnamed Item ⋮ On the thermoelasticity with two porosities: asymptotic behaviour ⋮ Steady vibration problems in the coupled linear theory of porous elastic solids ⋮ Potential method in the coupled theory of elastic double-porosity materials ⋮ Fundamental solutions in the linear theory of thermoelasticity for solids with triple porosity ⋮ Potential method in the theory of elasticity for triple porosity materials ⋮ Interfaces in micromorphic materials: Wave transmission and reflection with numerical simulations

Cites Work

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• Theories of immiscible and structured mixtures
• The classical pressure vessel problems for linear elastic materials with voids
• Thermo-poroacoustic acceleration waves in elastic materials with voids
• Linear elastic materials with voids
• A nonlinear theory of elastic materials with voids
• Stability and uniqueness in double porosity elasticity
• Plane waves and boundary value problems in the theory of elasticity for solids with double porosity
• On the time polynomial decay in elastic solids with voids
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
• Stability and Wave Motion in Porous Media

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