Application of non-convex rate dependent gradient plasticity to the modeling 
and simulation of inelastic microstructure development and inhomogeneous 
material behavior

Klusemann, Benjamin; Yalçinkaya, Tuncay; Geers, Marc G. D.; Svendsen, Bob

doi:10.1016/j.commatsci.2013.04.016

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Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior

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Svendsen, Bob
Material Mechanics, Faculty of Georesources and Materials Engineering, RWTH Aachen University, Schinkelstraße 2, D-52062 Aachen, Germany ;
Aachen Institute for Advanced Study in Computational Engineering Science (AICES), RWTH Aachen University, Schinkelstraße 2, D-52062 Aachen, Germany;
Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society;

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Citation

Klusemann, B., Yalçinkaya, T., Geers, M. G. D., & Svendsen, B. (2013). Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior. Computational Materials Science, 80, 51-60. doi:10.1016/j.commatsci.2013.04.016.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0027-A16C-5

Abstract

In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau-Devonshire potential for self-hardening and two interaction-matrix-based forms for latent hardening. The algorithmic formulation and the numerical implementation treats the displacement and the glide-system slips as the primary field variables. The numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are illustrated together with the macroscopic stress-strain responses. (C) 2013 Elsevier B. V. All rights reserved.