Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics
| dc.creator | Mourad, Hashem M. | |
| dc.creator | Garikipati, Krishna | |
| dc.date | 2004-11-01 | |
| dc.date | 2006-08-08 | |
| dc.date.accessioned | 2026-07-07T06:40:27Z | |
| dc.date.available | 2026-07-07T06:40:27Z | |
| dc.description | This work is based upon a coupled, lattice-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 level set method is used to model grain-boundary migration in an Eulerian framework where a grain boundary is represented as the zero level set of an evolving higher-dimensional function. This approach can easily be generalized to model other problems involving migrating interfaces; e.g. void evolution and free-surface morphology evolution. The level-set equation is recast in a remarkably simple form which obviates the need for spatial stabilization techniques. This simplified level-set formulation makes use of velocity extension and field re-initialization techniques. In addition, a least-squares smoothing technique is used to compute the local curvature of a grain boundary 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. | |
| dc.description | 28 pages, 9 figures, LaTeX; Accepted for publication in Computer Methods in Applied Mechanics and Engineering. [Style and formatting modifications made, references added.] | |
| dc.identifier | https://arxiv.org/abs/physics/0411012 | |
| dc.identifier | http://arxiv.org/abs/physics/0411012 | |
| dc.identifier | Comput. Methods Appl. Mech. Engrg., vol. 196, no. 1--3, pp. 595--607, 2006. | |
| dc.identifier | doi:10.1016/j.cma.2006.06.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101399 | |
| dc.subject | Computational Physics | |
| dc.title | Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics | |
| dc.type | text |