%0 Journal Article
%T Finite thermoelastoplasticity and creep under small elastic strains
%A Tom¨¢£¿ Roub¨ª£¿ek
%A Ulisse Stefanelli
%J Mathematics and Mechanics of Solids
%@ 1741-3028
%D 2019
%R 10.1177/1081286518774883
%X A mathematical model for an elastoplastic continuum subject to large strains is presented. The inelastic response is modelled within the frame of rate-dependent gradient plasticity for non-simple materials. Heat diffuses through the continuum by the Fourier law in the actual deformed configuration. Inertia makes the nonlinear problem hyperbolic. The modelling assumption of small elastic Green¨CLagrange strains is combined in a thermodynamically consistent way with the possibly large displacements and large plastic strain. The model is amenable to a rigorous mathematical analysis. The existence of suitably defined weak solutions and a convergence result for Galerkin approximations is proved
%K Thermoplastic materials
%K finite strains
%K creep
%K Maxwell viscoelastic rheology
%K heat transport
%K Lagrangian description
%K energy conservation
%K frame indifference
%K Galerkin approximation
%K convergence
%K weak solutions
%U https://journals.sagepub.com/doi/full/10.1177/1081286518774883