Low volume-fraction microstructures in martensites and crystal plasticity

DOI10.1142/S0218202516500317zbMath1347.49016arXiv1507.04521OpenAlexW2963322755WikidataQ59965753 ScholiaQ59965753MaRDI QIDQ2809325

Barbara Zwicknagl, Sergio Conti

Publication date: 27 May 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04521

zbMATH Keywords

crystal plasticitymicrostructurecalculus of variationssolid-solid phase transitionsenergy scaling

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15)

Related Items (13)

A branched transport limit of the Ginzburg-Landau functional ⋮ Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity ⋮ On the energy scaling behaviour of singular perturbation models with prescribed dirichlet data involving higher order laminates ⋮ Energy scaling laws for microstructures: from helimagnets to martensites ⋮ Geometry of martensite needles in shape memory alloys ⋮ Energy bounds for a compressed elastic film on a substrate ⋮ Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors ⋮ On the energy scaling behaviour of a singularly perturbed Tartar square ⋮ Asymptotic self-similarity of minimizers and local bounds in a model of shape-memory alloys ⋮ Rigidity and flexibility in the modelling of shape-memory alloys ⋮ Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys ⋮ Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism ⋮ On scaling laws for multi-well nucleation problems without gauge invariances

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