Abstract
A two-dimensional Laplace transform technique is used to find an analytical solution for the three-dimensional elastic field in solid films attached to a compliant substrate. The stress field arises from the misfit between the film and substrate and also from the non-uniform composition field in the film itself. Both the film and substrate are assumed to have cubic symmetry. The solution method can also be applied to materials with general orthotropic symmetry.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 21-50 |
| Number of pages | 30 |
| Journal | Journal of Elasticity |
| Volume | 81 |
| Issue number | 1 |
| DOIs | |
| State | Published - Oct 2005 |
Bibliographical note
Funding Information:We gratefully acknowledge the financial support of the Division of Materials Science at the Department of Energy through Grant DE-FG02-99ER45770. Y. Zhen is also grateful for helpful discussions with Shuwang Li.
Keywords
- Compositional elastic field
- Cubic anisotropy
- Double Laplace transform
- Film-substrate system
- Misfit