Strain-Gradient Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy with Mixed Growth
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Publication:5231347
DOI10.1137/18M1176579zbMath1422.49012arXiv1806.05067OpenAlexW2969436241MaRDI QIDQ5231347
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05067
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (7)
Rotations with constant curl are constant ⋮ Line-tension limits for line singularities and application to the mixed-growth case ⋮ Plasticity as the \(\Gamma\)-limit of a two-dimensional dislocation energy: the critical regime without the assumption of well-separateness ⋮ Semidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function Method ⋮ Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
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