Relaxation of the Hencky model in perfect plasticity

DOI10.1016/j.matpur.2016.03.009zbMath1345.49013arXiv1509.03989OpenAlexW2963034543MaRDI QIDQ304881

Maria Giovanna Mora

Publication date: 26 August 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03989

zbMATH Keywords

relaxationbounded deformationHencky modelperfect plasticity

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)

Related Items (10)

Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation ⋮ Continuity Equation and Characteristic Flow for Scalar Hencky Plasticity ⋮ Relaxation for an optimal design problem inBD(Ω) ⋮ Dynamic perfect plasticity and damage in viscoelastic solids ⋮ Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials ⋮ Dynamic Perfect Plasticity as Convex Minimization ⋮ Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion ⋮ Globally stable quasistatic evolution for strain gradient plasticity coupled with damage ⋮ On the relaxation of integral functionals depending on the symmetrized gradient ⋮ Optimal Control of Perfect Plasticity Part II: Displacement Tracking

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