WIAS Preprint No. 1927, (2014)

Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients


Authors

  • Heinemann, Christian
  • Rocca, Elisabetta
    ORCID: 0000-0002-9930-907X

2010 Mathematics Subject Classification

  • 35D30 34B14 74A45

Keywords

  • damage phenomena, thermoviscoelastic materials, global existence of weak solutions, nonlinear boundary value problems

DOI

10.20347/WIAS.PREPRINT.1927

Abstract

In this paper we prove existence of global in time weak solutions for a highly nonlinear PDE system arising in the context of damage phenomena in thermoviscoelastic materials. The main novelty of the present contribution with respect to the ones already present in the literature consists in the possibility of taking into account a damage-dependent thermal expansion coefficient. This term implies the presence of nonlinear couplings in the PDE system, which make the analysis more challenging.

Appeared in

  • Math. Methods Appl. Sci., 38 (2015) pp. 4587--4612.

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