A variational model of elasto-plastic behavior of materials

DOI10.1007/s10659-021-09876-yOpenAlexW4205359882MaRDI QIDQ2071284

Pietro Pascale, Kumar S. Vemaganti

Publication date: 25 January 2022

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-021-09876-y

zbMATH Keywords

variational approachplasticityshear bandphase field methodfree discontinuity problem

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Crystalline structure (74E15) Anelastic fracture and damage (74R20) Energy minimization in equilibrium problems in solid mechanics (74G65) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

• FEniCS

Cites Work

• Unnamed Item
• Phase field approximation of cohesive fracture models
• Plastic flow as an energy minimization problem. Numerical experiments
• Automated solution of differential equations by the finite element method. The FEniCS book
• A variational model for plastic slip and its regularization via \(\Gamma \)-convergence
• Phase-field numerical strategies for deviatoric driven fractures
• A phase-field model for cohesive fracture
• Optimal approximations by piecewise smooth functions and associated variational problems

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