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Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics | | Hashem M. Mourad
; Krishna Garikipati
; | | Date: |
1 Nov 2004 | | Subject: | Computational Physics | physics.comp-ph | | Affiliation: | University of Michigan | | Abstract: | This work is based upon a coupled, atomically-based continuum formulation that was previously applied to problems involving strong coupling between mechanics and mass transport; e.g. diffusional creep and electromigration. Here we discuss an enhancement of this formulation to account for migrating grain boundaries. The treatment is based on the level set method and can easily be generalized to model other problems with migrating interfaces; e.g. void evolution and free-surface morphology evolution. The level-set formulation developed is remarkably simple and obviates the need for spatial stabilization. It also makes use of velocity extension, field re-initialization and least-squares smoothing techniques. The latter allow the local curvature of a grain boundary to be computed directly from the level-set field without resorting to higher-order interpolation. A notable feature is that the coupling between mass transport, mechanics and grain-boundary migration is fully accounted for. The complexities associated with this coupling are highlighted and the operator-split algorithm used to solve the coupled equations is described. | | Source: | arXiv, physics/0411012 | | Services: | Forum | Review | PDF | Favorites | |
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