TY - JOUR
T1 - Coupling the dynamics of statistically distributed and excess dislocations
AU - Varadhan, Satya
AU - Beaudoin, Armand J.
AU - Fressengeas, Claude
N1 - Funding Information:
We are indebted to Prof. Amit Acharya of Carnegie Mellon University for ongoing and thoughtful discussion, as well as comments on this manuscript. AB and SV received support under the US Department of Energy Stewardship Science Academic Alliances Program (DOE DEFG03-02-NA00072) and Center for Simulation of Advanced Rockets at the University of Illinois at Urbana-Champaign (US DOE subcontract B341494). The co-authors benefited from exchanges under a joint agreement between Centre National de la Recherche Scientifique and the University of Illinois at Urbana-Champaign. We are thankful for the invitation and happy to have participated in this conference in honor of Prof. G. Ananthakrishna.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2005
Y1 - 2005
N2 - Modeling the self-organization and collective behavior of dislocation ensembles is of primary concern in this work. Two dislocation species are considered: excess dislocations seen as a manifestation of lattice incompatibility, and statistically distributed dislocations, which induce compatible deformation. Conventional slip-based crystal plasticity is used to model the behavior and dynamics of the latter, while Field Dislocation Mechanics is employed to account for the former. Coupling the dynamics of both species proceeds along two reciprocal ways: spatial gradients in slip produced by mobile statistical dislocations leads to nucleation of excess dislocations, while excess dislocations contribute to forest hardening. Illustration is given to the evolution of mobile and excess dislocation density. Dislocation arrangements resulting from the model are presented.
AB - Modeling the self-organization and collective behavior of dislocation ensembles is of primary concern in this work. Two dislocation species are considered: excess dislocations seen as a manifestation of lattice incompatibility, and statistically distributed dislocations, which induce compatible deformation. Conventional slip-based crystal plasticity is used to model the behavior and dynamics of the latter, while Field Dislocation Mechanics is employed to account for the former. Coupling the dynamics of both species proceeds along two reciprocal ways: spatial gradients in slip produced by mobile statistical dislocations leads to nucleation of excess dislocations, while excess dislocations contribute to forest hardening. Illustration is given to the evolution of mobile and excess dislocation density. Dislocation arrangements resulting from the model are presented.
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M3 - Conference article
AN - SCOPUS:84876948109
SN - 1824-8039
VL - 23
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 004
T2 - 2005 International Conference on Statistical Mechanics of Plasticity and Related Instabilities, SMPRI 2005
Y2 - 29 August 2005 through 2 September 2005
ER -