Loss of Hyperbolicity in Elastic-Plastic Material at Finite Strains

DOI10.1137/0153032zbMath0778.73026OpenAlexW1986972713MaRDI QIDQ3141734

Lianjun An

Publication date: 1 November 1993

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0153032

zbMATH Keywords

perturbationlinear analysisasymptotic estimatesgranular flowill-posed equationsflutter instabilitynonassociative flow ruleshear strain hardening

Mathematics Subject Classification ID

Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Stability of dynamical problems in solid mechanics (74H55) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (8)

Lifespan of solutions to a damped plate equation with logarithmic nonlinearity ⋮ Blow-up phenomena for a damped plate equation with logarithmic nonlinearity ⋮ Infinite time blow-up of solutions for a plate equation with weak damping and logarithmic nonlinearity ⋮ Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation ⋮ Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations ⋮ Bounds for the lifespan of solutions to fourth-order hyperbolic equations with initial data at arbitrary energy level ⋮ Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms ⋮ An energy-conserving finite element method for nonlinear fourth-order wave equations

This page was built for publication: Loss of Hyperbolicity in Elastic-Plastic Material at Finite Strains