Nonlinear and semilinear dynamic poroelasticity with microstructure

DOI10.1016/0022-5096(85)90025-0zbMath0554.73011OpenAlexW2017237571MaRDI QIDQ760223

Lewis Thigpen, James G. Berryman

Publication date: 1985

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(85)90025-0

zbMATH Keywords

Lagrangian theoryNonlinear equationsdensity dependent microstructuredry or fluid-saturated porous elastic medialocal density fluctuationsmicroinertia termssimilar to the approach of Bedford and Drumheller

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Micromechanics of solids (74M25) Flows in porous media; filtration; seepage (76S05) Micromechanical theories (74A60) Waves in solid mechanics (74J99)

Related Items (4)

Wave propagation in 3-D poroelastic media including gradient effects ⋮ Transient dynamic analysis of a fluid-saturated porous gradient elastic column ⋮ Finite strain poro-hyperelasticity: an asymptotic multi-scale ALE-FSI approach supported by ANNs ⋮ Strain gradient nonlocal Biot poromechanics

Cites Work

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• Macroscopic properties of disordered media. Proceedings of a Conference Held at the Courant Institute, New York, June 1-3, 1981
• A variational theory of porous media
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials

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