Quasistatic evolution for Cam-Clay plasticity: properties of the viscosity solution

DOI10.1007/s00526-011-0443-6zbMath1311.74025OpenAlexW2045658511WikidataQ59202178 ScholiaQ59202178MaRDI QIDQ425168

Gianni Dal Maso, Francesco Solombrino, Antonio De Simone

Publication date: 7 June 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0443-6

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Energy minimization in equilibrium problems in solid mechanics (74G65) Soil and rock mechanics (74L10) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (14)

Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems ⋮ Unnamed Item ⋮ Elasto-plastic evolution of single crystals driven by dislocation flow ⋮ Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling ⋮ A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains ⋮ From visco to perfect plasticity in thermoviscoelastic materials ⋮ Quasistatic evolution in non-associative plasticity revisited ⋮ The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects ⋮ Quasistatic evolution in perfect plasticity for general heterogeneous materials ⋮ Globally stable quasistatic evolution for a coupled elastoplastic–damage model ⋮ Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach ⋮ A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL ⋮ Crack growth by vanishing viscosity in planar elasticity ⋮ Viscous approximation of quasistatic evolutions for a coupled elastoplastic-damage model

Cites Work

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• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• Sublinear functions of measures and variational integrals
• BV solutions and viscosity approximations of rate-independent systems
• Strong convergence results related to strict convexity
• WELL POSEDNESS FOR A PHASE TRANSITION MODEL IN SUPERCONDUCTIVITY WITH VELOCITY AND MAGNETIC CRITICAL FIELDS
• Convex Analysis

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