Globally stable quasistatic evolution for strain gradient plasticity coupled with damage

DOI10.1007/s10231-016-0590-7zbMath1365.74033OpenAlexW2475561107MaRDI QIDQ522160

Vito Crismale

Publication date: 13 April 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0590-7

zbMATH Keywords

softeningdamage modelsstrain gradient plasticityenergetic solutionsquasistatic evolutionincomplete damagevariational models

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) Brittle damage (74R05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (13)

Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity ⋮ Relaxation of the Hencky model in perfect plasticity ⋮ A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,n}\) ⋮ Energetic solutions for the coupling of associative plasticity with damage in geomaterials ⋮ Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ Strain gradient visco-plasticity with dislocation densities contributing to the energy ⋮ Dynamic perfect plasticity and damage in viscoelastic solids ⋮ Damage model for plastic materials at finite strains ⋮ A model of isotropic damage with strain-gradient effects: existence and uniqueness of weak solutions for progressive damage processes ⋮ Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach ⋮ A finite-strain model for incomplete damage in elastoplastic materials ⋮ 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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