Finite thermoelastoplasticity and creep under small elastic strains

0517114 - ÚT 2020 RIV GB eng J - Journal Article
Roubíček, Tomáš - Stefanelli, U.
Finite thermoelastoplasticity and creep under small elastic strains.
Mathematics and Mechanics of Solids. Roč. 24, č. 4 (2019), s. 1161-1181. ISSN 1081-2865. E-ISSN 1741-3028
R&D Projects: GA ČR(CZ) GA16-03823S
Institutional support: RVO:61388998
Keywords : thermoplastic materials * finite strains * Maxwell viscoelastic rheology * creep * heat transport * Lagrangian description * frame indifference
OECD category: Applied mathematics
Impact factor: 2.040, year: 2019
Method of publishing: Limited access
https://journals.sagepub.com/doi/full/10.1177/1081286518774883

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–Lagrange 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.
Permanent Link: http://hdl.handle.net/11104/0304282