A note on the derivation of rigid-plastic models

DOI10.1007/s00030-016-0389-7zbMath1354.74026arXiv1510.03585OpenAlexW2591871339MaRDI QIDQ506018

Gilles A. Francfort, Jean-François Babadjian

Publication date: 27 January 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03585

zbMATH Keywords

calculus of variationsplasticityfunctions of bounded deformation

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Continuity Equation and Characteristic Flow for Scalar Hencky Plasticity

Cites Work

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• Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling
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• On the extremal stress and displacement in Hencky plasticity
• Existence results for energetic models for rate-independent systems
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• Sublinear functions of measures and variational integrals
• Small-strain heterogeneous elastoplasticity revisited
• Traces of functions of bounded deformation
• Finite Element Methods for Navier-Stokes Equations

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