Level Set Method Approaches to Dislocation Models of Grain Boundaries

SIAM PDE Conference, Boston, MA, July 10, 2006 (Session CP3: Materials Science)



Grain boundaries in materials can be formally represented as arrays of dislocations lines. This perspective makes it possible to study meso-scale processes, such as mechanisms for grain boundary motion and interactions of dislocations with grain boundaries. Using a level-set formalism for dislocation dynamics pioneered by our group, we investigate several interesting grain boundary problems using dislocation models. The computational efficiency required to study these models is provided by a parallel level set method software library that we have recently developed.