One-dimensional failure modes for bodies with non-convex plastic energies

DOI10.1007/s10659-023-09989-6zbMath1524.74069MaRDI QIDQ6100462

Giovanni Lancioni, Gianpietro Del Piero, Riccardo March

Publication date: 12 May 2023

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

zbMATH Keywords

strain gradient plasticityvariational modellingnon-convex plastic energystrain softening processes

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Anelastic fracture and damage (74R20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Cites Work

• Localization properties of strain-softening gradient plasticity models. I: Strain-gradient theories
• Localization properties of strain-softening gradient plasticity models. II: Theories with gradients of internal variables
• Deformation patterning driven by rate-dependent non-convex strain gradient plasticity
• Modeling the response of tensile steel bars by means of incremental energy minimization
• On classical continuum mechanics, two-scale continua, and plasticity
• Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck and Hutchinson and their generalization
• Elastic bars with cohesive energy
• A gradient-damage theory for fracture of quasi-brittle materials
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• An evaluation of higher-order plasticity theories for predicting size effects and localisation
• GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
• Macro- and micro-cracking in one-dimensional elasticity
• A critical comparison of nonlocal and gradient-enhanced softening continua

This page was built for publication: One-dimensional failure modes for bodies with non-convex plastic energies