A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,n}\)

DOI10.1007/s00030-018-0507-9zbMath1388.49011arXiv1707.03801OpenAlexW2963451220MaRDI QIDQ1635648

Vito Crismale, Gianluca Orlando

Publication date: 31 May 2018

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

Full work available at URL: https://arxiv.org/abs/1707.03801

zbMATH Keywords

lower semicontinuitydamageelasto-plasticityReshetnyak theorem

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) Fracture and damage (74R99) Critical exponents in context of PDEs (35B33) Methods involving semicontinuity and convergence; relaxation (49J45) Compliance or weight optimization in solid mechanics (74P05)

Related Items (7)

Energetic solutions for the coupling of associative plasticity with damage in geomaterials ⋮ Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ Dynamic perfect plasticity and damage in viscoelastic solids ⋮ Damage model for plastic materials at finite strains ⋮ Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach ⋮ Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System ⋮ A lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,\gamma}\), \(\gamma > 1\)

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