# Development of a thermo-mechanically coupled crystal plasticity modeling framework: application to polycrystalline homogenization

## TL;DR

This paper introduces a fully coupled thermo-mechanical crystal plasticity framework that models microscopic slip and heat generation, enabling accurate multiscale simulations of metals under thermal and mechanical loads.

## Contribution

It presents a novel implicit coupled crystal plasticity model incorporating thermal effects for multiscale homogenization, improving prediction accuracy.

## Key findings

- Framework accurately predicts thermo-mechanical responses.
- Enables large deformation steps in simulations.
- Bridges microscopic slip with macroscopic temperature gradients.

## Abstract

Accurate predictions of thermo-mechanically coupled process in metals can lead to a reduction of cost and an increase of productivity in manufacturing processes such as forming. For modeling these coupled processes with the finite element method, accurate descriptions of both the mechanical and the thermal responses of the material, as well as their interaction, are needed. Conventional material modeling employs empirical macroscopic constitutive relations but does not account for the actual thermo-mechanical mechanisms occurring at the microscopic level. However, the consideration of the latter might be crucial to obtain accurate predictions and a complete understanding of the underlying physics. In this work we describe a fully coupled implicit thermo-mechanical framework for crystal plasticity simulations. This framework includes thermal strains, temperature dependency of the crystal behavior and heat generation by dissipation due to plastic slip and allows the use of large deformation steps thanks to the implicit integration of the governing equations. Its use within computational homogenization simulations allows to bridge the plastic deformation and temperature gradients at the macroscopic scale with the microscopic slip at the grain scale. A series of numerical examples are presented to validate the approach.