A quasi-static stability analysis for Biot's equation and standard dissipative systems

DOI10.1016/J.EUROMECHSOL.2006.06.005zbMath1150.74054OpenAlexW2044779202MaRDI QIDQ875555

Farid Abed-Meraim, Quoc-Son Nguyen

Publication date: 13 April 2007

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2006.06.005

zbMATH Keywords

plasticityBiot's equationvisco-plasticitygeneralized standard modelslocal and non-local descriptionsquasi-static responsesecond variation criterionstability of

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Soil and rock mechanics (74L10)

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Cites Work

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• The non-local generalized standard approach: a consistent gradient theory
• A general theory of uniqueness and stability in elastic-plastic solids
• Variational Lagrangian-thermodynamics of nonisothermal finite strain mechanics of porous solids and thermomolecular diffusion
• A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage
• Damage, gradient of damage and principle of virtual power
• Perturbation growth and localization in fluid-saturated inelastic porous media under quasi-static loadings.
• A variational formulation for nonlocal damage models
• On the stability of rate-dependent solids with application to the uniaxial plane strain test
• Analytical Characterization of Shear Localization in Thermoviscoplastic Materials
• Conditions suffisantes de stabilité pour les solides visqueux
• Convex Analysis

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