Existence of solution for a nonlinear model of thermo-visco-plasticity
Leszek Bartczak, Sebastian Owczarek
TL;DR
This paper proves the existence of solutions for a thermodynamically consistent nonlinear model describing thermo-visco-plastic behavior in metals with mixed boundary conditions.
Contribution
It establishes the existence of solutions for a complex nonlinear thermo-visco-plasticity model with mixed boundary conditions, advancing theoretical understanding.
Findings
Existence of solutions for the nonlinear model confirmed.
Model incorporates temperature effects and mixed boundary conditions.
Provides a mathematical foundation for thermo-visco-plasticity analysis.
Abstract
We study a thermodynamically consistent model describing phenomena in a visco-plastic metal subjected to temperature changes. We complete the model with the mixed boundary condition on displacement and stress and Neumann-type condition for temperature. The main result is an existence of solution.
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