Analysis of a thermo-viscoplastic model with Lipschitz continuous constitutive equations

作者：Bartczak Leszek^*

来源：Mathematical Methods in the Applied Sciences, 2014, 37(17): 2597-2614.

DOI：10.1002/mma.2999

• continuum mechanics
• visco-plasticity
• heat conduction
• thermomechanics in visco-plasticity

We study a thermo-mechanical model, where the mechanical inelastic model with a Lipschitz-continuous constitutive relation for the plastic strain is coupled with a heat equation. The main results are the local-in-time existence and uniqueness of the solution to the considered model and the existence of the solution for an arbitrarily long time interval for the sufficiently small given data.

• 出版日期2014-11-30