Renormalized solutions in thermo-visco-plasticity for a Norton–Hoff type model. Part I: The truncated case. (April 2016)

• Record Type: Journal Article
• Authors: Chełmiński, Krzysztof; Owczarek, Sebastian
• Is Part Of: Nonlinear analysis. Volume 28(2016)
• Page Start: 140
• Page End: 152
• Publication Date: 2016-04
• Subjects: Continuum mechanics -- Visco-plastic deformations -- Heat conduction -- Thermo-visco-plasticity -- Renormalized solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.09.008
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We prove existence of global in time strong solutions to the truncated thermo-visco-plasticity with an inelastic constitutive function of Norton–Hoff type. This result is a starting point to obtain renormalized solutions for the considered model without truncations. The method of our proof is based on Yosida approximation of the maximal monotone term and a passage to the limit.