A Level Set Approach to Dislocation Models of Low-Angle Grain Boundary Structure and Motion

SIAM Computational Science & Engineering Conference, Costa Mesa, CA, February 20, 2007



Dislocation models are useful for gaining insight into the meso-scale structure and motion of low-angle grain boundaries. Using a level-set formalism for dislocation dynamics pioneered by our group, we examine the equilibrium structure of grain boundaries formed from straight-line dislocation networks constructed using Frank's formulas. We also investigate the dependence of grain boundary mobility on the mobility of individual dislocations and grain boundary geometry. The computational efficiency required to study these models is provided by a parallel level set method software library (LSMLIB) that we have recently developed.