@article{mcbride_a_computational_2015, 
author={McBride, A. and Bargmann, S. and 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},
journal = {Computational Mechanics},
volume = {55},
number = {4},
pages = {755 - 769},
doi = {http://dx.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{http://dx.doi.org/10.1007/s00466-015-1134-5} (DOI). McBride, A.; Bargmann, S.; Reddy, B.D.: A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing. In: Computational Mechanics. Vol. 55 (2015) 4, 755 - 769. (DOI:  10.1007/s00466-015-1134-5)}}