@ARTICLE{Monavari2013_ProcApplMath,
author = {Monavari, Mehran and Schmitt, Severin and Sandfeld, Stefan},
title = {A crystal plasticity framework based on the Continuum Dislocation
Dynamics theory: relaxation of an idealized micropillar},
journal = {Proceedings in Applied Mathematics and Mechanics},
year = {2013},
volume = {13},
pages = {263--264},
number = {1},
abbrev_source_title = {Proc. Appl. Math. Mech.},
abstract = {The motion and interaction of dislocation lines are the physical basis
of the plastic deformation of metals. Although ‘discrete dislocation
dynamic’ (DDD) simulations are able to predict the kinematics of
dislocation microstructure (i.e. the motion of dislocations in a
given velocity field) and therefore the plastic behavior of crystals
in small length scales, the computational cost makes DDD less feasible
for systems larger than a few micro meters. To overcome this problem, the Continuum Dislocation Dynamics (CDD) theory was developed. CDD
describes the kinematics of dislocation microstructure based on statistical
averages of internal properties of dislocation systems. In this paper
we present a crystal plasticity framework based on the CDD theory.
It consists of two separate parts: a classical 3D elastic boundary
value problem and the evolution of dislocation microstructure within
slip planes according to the CDD constitutional equations. We demonstrate
the evolution of dislocation density in a micropillar with a single
slip plane. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)},
doi = {10.1002/pamm.201310127},
issn = {1617-7061},
url = {http://dx.doi.org/10.1002/pamm.201310127}
}