A Multiscale Framework for Thermoplasticity

摘要

The chapter describes a homogenization procedure for thermoplasticity problems. The proposed model is suitable for the finite strain regime and supports a very wide class of plasticity models. The methodology starts from the thermo-dynamically consistent thermoelastic framework already described in the literature. The latter framework is now extended to account for inelastic deformations. The problem is separated by means of the isothermal split into a mechanical and a thermal step, both at the macroscale and the microscale. As demonstrated in an example, the method does provide a way to successfully homogenize microscale variables as well as tangent operators. Finally, limitations of the approach are pointed out.