Thermo-visco-elasticity for Norton–Hoff-type models. (December 2015)

• Record Type: Journal Article
• Authors: Gwiazda, Piotr; Klawe, Filip Z.; Świerczewska-Gwiazda, Agnieszka
• Is Part Of: Nonlinear analysis. Volume 26(2015)
• Page Start: 199
• Page End: 228
• Publication Date: 2015-12
• Subjects: Thermodynamical consistency -- Visco-elasticity -- Thermal effects -- Galerkin approximation -- Monotonicity method -- Renormalizations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.05.009
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and inelastic. Moreover, our analysis captures the influence of the temperature on the visco-elastic properties of the body. The novelty of the paper is the consideration of the thermodynamically consistent model to describe this kind of phenomena related with a hardening rule of Norton–Hoff type. We provide the proof of existence of solutions to thermo-visco-elastic model in a simplified setting, namely the thermal expansion effects are neglected. Consequently, the coupling between the temperature and the displacement occurs only in the constitutive function for the evolution of the visco-elastic strain.