A Critical Revisiting of Finite Elasto-Plasticity
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Publication:5264959
DOI10.1137/140965090zbMath1317.74022OpenAlexW2080581237MaRDI QIDQ5264959
Gilles A. Francfort, Elisa Davoli
Publication date: 21 July 2015
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140965090
Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45)
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Finite plasticity in \(P^\top P\). I: Constitutive model ⋮ On the existence of minimisers for strain‐gradient single‐crystal plasticity ⋮ Strain gradient visco-plasticity with dislocation densities contributing to the energy ⋮ Existence for dislocation-free finite plasticity ⋮ A homogenization result in finite plasticity ⋮ On the interplay of anisotropy and geometry for polycrystals in single‐slip crystal plasticity ⋮ The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity ⋮ Optimal laminates in single-slip elastoplasticity ⋮ Homogenization in BV of a model for layered composites in finite crystal plasticity ⋮ Elastoplasticity of gradient-polyconvex materials ⋮ On static and evolutionary homogenization in crystal plasticity for stratified composites ⋮ Quasistatic evolution for dislocation-free finite plasticity ⋮ A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains ⋮ Elastoplastic deformations of layered structures
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