本帖最后由 whh1235068 于 2013-1-13 18:02 编辑
In this paper, dislocations are constructed as displacement dis-continuities across cuts in the crystal, in other words the dislocation solution is not imposed a priori but rather computedas part of the boundary value problem. The following boundary conditions are used to represent the dislocations
In Eq. (1) the + and - superscripts are used to designate quantitieson the right and left of the dislocation cut, respectively. Within the finite element method the cut-line from the dislocation core to the upper boundary (the thick dashed line in Fig.(1) is modeled using two sets of nodes with identical positions. The dislocation is then created by enforcing the displacement boundary conditions that each node on the right side of the cut moves horizontally by bx and vertically by by relative to its counterpart on the left side of the cut. These boundary conditions are imposed using the multi-point constraints listed in Eq. (1).
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