A case study for uniqueness of elasto-plastic evolutions: the bi-axial test

DOI10.1016/j.matpur.2015.10.003zbMath1328.74020OpenAlexW1761153295MaRDI QIDQ899323

Gilles A. Francfort, Alessandro Giacomini, Jean-Jacques Marigo

Publication date: 28 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.matpur.2015.10.003

zbMATH Keywords

plasticityjump setquasi-static evolutionsspace of bounded deformations

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Mathematical homogenization of inelastic dissipative materials: a survey and recent progress ⋮ Continuity Equation and Characteristic Flow for Scalar Hencky Plasticity ⋮ The elasto-plastic exquisite corpse: A suquet legacy ⋮ Elastoplasticity of gradient-polyconvex materials

Cites Work

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• Dual spaces of stresses and strains, with applications to Hencky plasticity
• Regularity of stresses in Prandtl-Reuss perfect plasticity
• Fine properties of functions with bounded deformation
• Existence results for energetic models for rate-independent systems
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• Small-strain heterogeneous elastoplasticity revisited
• Un espace fonctionnel pour les équations de la plasticité
• The taming of plastic slips in von Mises elasto-plasticity

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