Abstract
A three-dimensional level set method (LSM) was proposed for dislocation dynamics of which the dislocation curves show extremely successful evolutions, especially when topological changes, i.e.. merging and breaking. occur. The intersections of the zero levels of two vector valued level set functions are used to represent the dislocation lines in three dimensions. Fast Marching Method (FMM) creating Signed Distance Function (SDF) from the given interface can incorporate the existing different shapes into one level set function. Therefore, the dislocation lines can be represented by one set of level set functions. With some specific restrictions, (use FMM to create a smooth constrained plane) we succeeded to demonstrate some behaviors like cross-slip, double cross-slip, and dislocation interactions on cross-slip plane.
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