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Mathematics > Analysis of PDEs

arXiv:1804.05742 (math)
[Submitted on 16 Apr 2018]

Title:Finite thermoelastoplasticity and creep under small elastic strains

Authors:Tomas Roubicek, Ulisse Stefanelli
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Abstract:A mathematical model for an elastoplastic continuum subject to large strains is presented. The inelastic response is modeled within the frame of rate-dependent gradient plasticity for nonsimple 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.
Comments: 26 pages
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35Q74, 35Q79, 65M60, 74A15, 74A30, 74C15, 74J30, 80A20
Cite as: arXiv:1804.05742 [math.AP]
  (or arXiv:1804.05742v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.05742

Submission history

From: Ulisse Stefanelli [view email]
[v1] Mon, 16 Apr 2018 15:34:16 UTC (50 KB)
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