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

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.

Homogenization using modified Mori-Tanaka and TFA framework for elastoplastic-viscoelastic-viscoplastic composites: Theory and numerical validation

“…The extension of the homogenization procedure from linear to nonlinear behavior is a complex task in constant evolution. In the literature, many mean field and finite element based homogenization models have been proposed to study composites showing elastoplastic (Mareau et al, 2012;Fritzen et al, 2012;Wu et al, 2013a;Zecevic and Knezevic, 2018;Kotha et al, 2019), transformation induced plastic (Mahnken et al, 2009), elasto-viscoplastic (Paquet et al, 2011;Fournier et al, 2011;Matsuda et al, 2011;Wu et al, 2017;Rao et al, 2019) elasto-viscoplastic coupled with damage (Dondeti et al, 2012), viscoelastic (Rémond, 2005), viscoelastic-viscoplastic (Aboudi, 2005), coupled thermo-mechanical (Chatzigeorgiou et al, 2018;Li et al, 2019) behavior, as well as damage at the interface between the matrix and the fibers (Despringre, 2015).…”

Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform‐based approach

“…Based on these results, Tikkarrouchine et al 11 homogenized unidirectional short-fiber structures with temperature-independent material parameters in the context of concurrent multiscale simulations, using the finite element (FE)-software ABAQUS. Similar FE-based multiscale studies which still consider thermal conduction on the microscale were carried out by Özdemir et al 12 for elastoplasticity and Li et al 13 for single-crystal elastoviscoplasticity.…”

A microstructure-based three-scale homogenization model for predicting the elasto-viscoplastic behavior of duplex stainless steels

“…From the mechanical ground, full field crystal plasticity models based on Finite Element modeling (CPFEM) are good candidates to predict internal stress and strain fields at the microstructure level of complex microstructures (see e.g. Roters et al, 2010;Dodla et al, 2015;Li et al, 2019;Flipon et al, 2020;Kasemer and Dawson, 2020). However, they are still time consuming for the industrial applications.…”