## Topological Methods in Nonlinear Analysis

### Thermo-visco-elasticity for models with growth conditions in Orlicz spaces

Filip Z. Klawe

#### Abstract

We study a quasi-static evolution of the thermo-visco-elastic model. We act with external forces on a non-homogeneous material body, which is a subject of our research. Such action may cause deformation of this body and may change its temperature. Mechanical part of the model contains two kinds of deformation: elastic and visco-elastic. The mechanical deformation is coupled with temperature and both of them may influence each other. Since the constitutive function on evolution of the visco-elastic deformation depends on temperature, the visco-elastic properties of material also depend on temperature. We consider the thermodynamically complete model related to a hardening rule with growth condition in generalized Orlicz spaces. We provide the proof of existence of solutions for such class of models.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 47, Number 2 (2016), 457-497.

Dates
First available in Project Euclid: 13 July 2016

https://projecteuclid.org/euclid.tmna/1468413748

Digital Object Identifier
doi:10.12775/TMNA.2016.006

Mathematical Reviews number (MathSciNet)
MR3559917

Zentralblatt MATH identifier
1360.74033

#### Citation

Klawe, Filip Z. Thermo-visco-elasticity for models with growth conditions in Orlicz spaces. Topol. Methods Nonlinear Anal. 47 (2016), no. 2, 457--497. doi:10.12775/TMNA.2016.006. https://projecteuclid.org/euclid.tmna/1468413748

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