A finite element method for simulating interface motion—II. Large shape change due to surface diffusion
✍ Scribed by B. Sun; Z. Suo
- Book ID
- 104403424
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1359-6454
No coin nor oath required. For personal study only.
✦ Synopsis
This paper presents a finite element method for large shape change of a solid due to matter diffusion on its surface. The free energy, which motivates the change, is the surface energy summed over surface and grain boundary areas, Following a classical theory, we define the driving force by the amount of free energy decrease associated with per unit volume of matter moving per unit distance on the surface, and adopt a kinetic law that the matter flux on the surface is proportional to the driving force. We express this theory by a weak statement that forms the basis of the finite element method. In addition to surface diffusion, the weak statement includes evaporation and condensation, which allows a convenient treatment of mass conservation. We use these ideas to develop a general finite element program for two dimensional problems. The program is used to analyze thermal grooving on a polycrystalline surface, and the competition between surface grooving and grain boundary migration in a polycrystalline thin film. 0 1997 Acta Metallurgica Inc.