Elastoplastic consolidation at finite strain. II: Finite element implementation and numerical examples

DOI10.1016/S0045-7825(98)80105-9zbMath0941.74057OpenAlexW2160404107WikidataQ59366028 ScholiaQ59366028MaRDI QIDQ1817835

Claudio Tamagnini, Enrique Alarcón, Ronaldo I. Borja

Publication date: 13 August 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)80105-9

zbMATH Keywords

multiplicative decompositionreturn mappinggeneralized Darcy's lawCam-Clay theoryfinite strain elastoplastic consolidationfully saturated soil mediaKirchhoff pore water pressureKirchhoff principal stress spacetwo-field mixed finite element formulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10)

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Cites Work

• Mechanics of continuous porous media
• Implicit-explicit schemes for nonlinear consolidation
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Composite Newton-PCG and quasi-Newton iterations for nonlinear consolidation
• One-step and linear multistep methods for nonlinear consolidation
• An investigation of the stability of numerical solutions of Biot's equations of consolidation
• Elasto-plastic consolidation of soil
• A mathematical framework for finite strain elastoplastic consolidation. I: Balance laws, variational formulation, and linearization
• Cam-Clay plasticity. III: Extension of the infinitesimal model to include finite strains
• A general theory of an elastic-plastic continuum
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Two numerical schemes for nonlinear consolidation
• CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
• The analysis of finite elasto-plastic consolidation
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