QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE

DOI10.1142/S0218202513500097zbMath1409.74009OpenAlexW2104969561MaRDI QIDQ2836498

Alessandro Giacomini, Alessandro Musesti

Publication date: 3 July 2013

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

Full work available at URL: https://doi.org/10.1142/s0218202513500097

zbMATH Keywords

convergencelinearizationfunction of bounded variationcompactness argument

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (5)

Existence and linearization for the Souza-Auricchio model at finite strains ⋮ Linearization for finite plasticity under dislocation-density tensor regularization ⋮ Finite thermoelastoplasticity and creep under small elastic strains ⋮ Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization ⋮ A finite-strain model for incomplete damage in elastoplastic materials

Cites Work

• Global existence for rate-independent gradient plasticity at finite strain
• On plasticity with hardening
• Energetic formulation of multiplicative elasto-plasticity using dissipation distances
• Linearized elasticity as \(\Gamma\)-limit of finite elasticity
• Existence results for energetic models for rate-independent systems
• Quasistatic crack growth in nonlinear elasticity
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains

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