期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 163, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2022.104861
关键词
Discrete dislocation dynamics; Bulk crystal plasticity; Statistical homogeneity; Representative volume element (RVE)
资金
- U.S. Department of Energy, Division of Materials Sciences and Engineering at Purdue University [DE-SC0017718]
- US Department of Energy, Office of Nuclear Energy at Purdue University [DE-NE0008758]
- U.S. Department of Energy, Office of Fusion Energy Sciences (FES) [DE-SC0019157]
- University of Miami [019GXA906]
- U.S. Department of Energy (DOE) [DE-SC0019157] Funding Source: U.S. Department of Energy (DOE)
A novel implementation of the dislocation flux boundary condition in discrete dislocation dynamics is presented, where the continuity of individual dislocation loops in a periodic representative crystal volume is enforced across the boundary with the help of a dual topological description. The implementation details are discussed in the context of statistical homogeneity of bulk crystals undergoing macroscopically homogeneous plastic deformation.
A novel implementation of the dislocation flux boundary condition in discrete dislocation dynamics is presented. The continuity of the individual dislocation loops in a periodic representative crystal volume (RVE) is enforced across the boundary of the RVE with the help of a dual topological description for representing dislocation line kinematics in two equivalent spaces representing the deforming crystal, the RVE and the unbounded crystal spaces. The former describes the motion of the dislocations in the simulated crystal RVE whereas the latter represents the motion of dislocations in an infinite space containing all replicas of the RVE. A mapping between the two spaces forms the basis of the implementation of flux boundary condition. The implementation details are discussed in the context of statistical homogeneity of bulk crystals undergoing macroscopically homogeneous plastic deformation. In this case, the boundary nodes associated with dislocation segments bear no relevance in the motion of the dislocations. Some test cases are presented and discussed to establish the proposed approach.
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