Multi-phase-field method for surface tension induced elasticity
Abstract
A method, based on the multi-phase-field framework, is proposed that adequately accounts for the effects of a coupling between surface free energy and elastic deformation in solids. The method is validated via a number of analytically solvable problems. In addition to stress states at mechanical equilibrium in complex geometries, the underlying multi-phase-field framework naturally allows us to account for the influence of surface energy induced stresses on phase transformation kinetics. This issue, which is of fundamental importance on the nanoscale, is demonstrated in the limit of fast diffusion for a solid sphere, which melts due to the well-known Gibbs-Thompson effect. This melting process is slowed down when coupled to surface energy induced elastic deformation.
- Publication:
-
Physical Review B
- Pub Date:
- January 2018
- DOI:
- 10.1103/PhysRevB.97.035410
- arXiv:
- arXiv:1707.05299
- Bibcode:
- 2018PhRvB..97c5410S
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Materials Science
- E-Print:
- 13 pages, 16 figures