@misc{mcbride_a_computational_2015, 
author={McBride, A., Bargmann, S., Reddy, B.D.},
title={A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing},
year={2015},
howpublished = {journal article},
doi = {https://doi.org/10.1007/s00466-015-1134-5},
abstract = {A theory of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing has recently been proposed by Anand et al. (Int J Plasticity 64:1–25, 2015). Aspects of the numerical implementation of the aforementioned theory using the finite element method are detailed in this presentation. To facilitate the implementation, a viscoplastic regularization of the plastic evolution equations is performed. The weak form of the governing equations and their time-discrete counterparts are derived. The theory is then elucidated via a series of three-dimensional numerical examples where particular emphasis is placed on the role of the defect-flow relations. These relations govern the evolution of a measure of the glide and geometrically necessary dislocation densities which is associated with the stored energy of cold work.},
note = {Online available at: \url{https://doi.org/10.1007/s00466-015-1134-5} (DOI). McBride, A.; Bargmann, S.; Reddy, B.: A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing. Computational Mechanics. 2015. vol. 55, no. 4, 755-769. DOI: 10.1007/s00466-015-1134-5}}