期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 69, 期 -, 页码 123-131出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2014.04.013
关键词
Dislocation dynamics; Cross slip; Partial dislocations; Conservation laws; Large deformations
资金
- Lawrence Fellowship program at Lawrence Livermore National Laboratory
- DOE-OFES
- U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07NA27344]
In the present paper we develop a general framework that captures topological, geometric, and energetic aspects of slip surfaces to provide conservation laws for dislocation structures. In this work, dislocations act as the boundary of active slip regions that support a finite displacement jump, while treating the material outside the slip regions with a continuum mechanic framework in the setting of large deformations. Within this semicontinuous description, it is shown that the condition of slip imposes an important restriction on the shape of the slip surfaces regardless of the material structure. This catalog of shapes for the slip surfaces can be further restricted for crystalline materials, providing a simple geometric description of common dislocation processes such as cross slip or dislocation loop glide. In this setting, the classical Kirchhoff-type rule for the conservation of the Burgers vector emanates directly from the formulation, while recent conservation laws designed for partial dislocations in face centered cubic crystals are also naturally captured. (C) 2014 Elsevier Ltd. All rights reserved.
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