Macroscopic Lagrangian formulation of poroelasticity with porosity dynamics

DOI10.1016/j.jmps.2004.05.005zbMath1086.74014OpenAlexW2089545857MaRDI QIDQ2573304

Sergey L. Lopatnikov, Alexander H.-D. Cheng

Publication date: 7 November 2005

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/j.jmps.2004.05.005

zbMATH Keywords

wave propagationbifurcationdispersion relation

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05)

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Cites Work

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• Incompressible porous media models by use of the theory of mixtures
• Compressible porous media models by use of the theory of mixtures
• A thermodynamically consistent formulation of magnetoporoelasticity
• Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces
• One-dimensional transient wave propagation in fluid-saturated incompressible porous media
• Homogenization and porous media
• A stability analysis of immiscible viscous displacement in a homogeneous porous medium
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• A Reformation of the Equations of Anisotropic Poroelasticity
• Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity
• Elastic and viscoelastic behavior of chiral materials