Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients
Articolo
Data di Pubblicazione:
2015
Citazione:
Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients / C. Heinemann, E. Rocca. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 38:18(2015 Dec), pp. 4587-4612.
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 coupling terms in the PDE system, which make the analysis more challenging.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Damage phenomena; Global existence of weak solutions; Nonlinear boundary value problems; Thermoviscoelastic materials; Mathematics (all); Engineering (all)
Elenco autori:
C. Heinemann, E. Rocca
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