Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion

DOI10.1051/m2an/2010063zbMath1267.74037OpenAlexW2126665690MaRDI QIDQ2839120

Publication date: 4 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2010063

zbMATH Keywords

convergence finite element method hardening implicit time discretization Kelvin-Voigt rheology thermal expansion adiabatic effects thermodynamics of plasticity

Mathematics Subject Classification ID

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Thermodynamics of continua (80A17) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Variational principles of physics (49S05)

Related Items (27)

Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity ⋮ Renormalised solutions in thermo-visco-plasticity for a Norton-Hoff type model. II: The limit case. ⋮ A priori time regularity estimates and a simplified proof of existence in perfect plasticity ⋮ Formulation of thermoelastic dissipative material behavior using GENERIC ⋮ Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 2: Optimality Conditions ⋮ Thermo-visco-elasticity for Norton-Hoff-type models with homogeneous thermal expansion ⋮ Renormalized solutions in thermo-visco-plasticity for a Norton-Hoff type model. I: The truncated case. ⋮ From visco to perfect plasticity in thermoviscoelastic materials ⋮ Thermo-visco-elasticity for Norton-Hoff-type models ⋮ Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 1: Existence of Optimal Solutions ⋮ Global existence result for thermoviscoelastic problems with hysteresis ⋮ On a thermo‐visco‐elastic model with nonlinear damping forces andL¹temperature data ⋮ On the quasistatic limit of dynamic evolutions for a peeling test in dimension one ⋮ Fatigue accumulation in a thermo-visco-elastoplastic plate ⋮ Thermo-visco-elasticity for the Mróz model in the framework of thermodynamically complete systems ⋮ Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials ⋮ On renormalized solutions for thermomechanical problems in perfect plasticity with damping forces ⋮ Existence of solutions of a thermoviscoplastic model and associated optimal control problems ⋮ Quasistatic adhesive contact of visco‐elastic bodies and its numerical treatment for very small viscosity ⋮ Rate-independent damage in thermo-viscoelastic materials with inertia ⋮ Thermodynamics and analysis of rate-independent adhesive contact at small strains ⋮ Existence and uniqueness of dynamic evolutions for a peeling test in dimension one ⋮ Quasistatic delamination models for Kirchhoff-Love plates ⋮ A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains ⋮ Analysis of a thermo‐viscoplastic model with Lipschitz continuous constitutive equations ⋮ Numerical approaches to thermally coupled perfect plasticity ⋮ On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

Uses Software

na14

This page was built for publication: Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion