A METRIC APPROACH TO PLASTICITY VIA HAMILTON–JACOBI EQUATION

DOI10.1142/S0218202510004726zbMath1253.74017OpenAlexW2136250511MaRDI QIDQ3056448

Elena Bonetti, Ferdinando Auricchio, Antonio Marigonda

Publication date: 12 November 2010

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

Full work available at URL: https://doi.org/10.1142/s0218202510004726

zbMATH Keywords

plasticity modelsenergetic formulationdissipative metricmetric associated to Hamilton-Jacobi equation

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

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• Energetic formulation of multiplicative elasto-plasticity using dissipation distances
• A variational formulation of rate-independent phase transformations using an extremum principle
• PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
• Non–convex potentials and microstructures in finite–strain plasticity
• Metric character of Hamilton–Jacobi equations