Convergence of a monotonisation procedure for a non-monotone quasi-static model in poroplasticity

DOI10.1016/j.jmaa.2009.09.036zbMath1195.35023OpenAlexW1993177263MaRDI QIDQ847736

Sebastian Owczarek

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.036

zbMATH Keywords

Young measuresBiot modelcoercive approximation

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Theoretical approximation in context of PDEs (35A35)

Related Items (7)

Poroplasticity with Cosserat effects ⋮ Dynamical poroplasticity model with mixed boundary conditions -- theory for \(\mathcal{LM}\)-type nonlinearity ⋮ Thermo-visco-elasticity for Norton-Hoff-type models with homogeneous thermal expansion ⋮ Renormalized solutions in thermo-visco-plasticity for a Norton-Hoff type model. I: The truncated case. ⋮ The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects ⋮ On renormalized solutions for thermomechanical problems in perfect plasticity with damping forces ⋮ Dynamical poroplasticity model -- existence theory for gradient type nonlinearities with Lipschitz perturbations

Cites Work

• Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
• Monotonicity of operators of viscoplastic response: Application to the model of Bodner-Partom
• Diffusion in poro-plastic media
• Quasistatic Problems in Viscoplasticity Theory I: Models with Linear Hardening
• Convergence of coercive approximations for strictly monotone quasistatic models in inelastic deformation theory
• Convergence of coercive approximations for a model of gradient type in poroplasticity
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