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 1 2005 |
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Keywords
- Compositional elastic field
- Cubic anisotropy
- Double Laplace transform
- Film-substrate system
- Misfit
Cite this
Three-dimensional compositional elastic field in cubic anisotropic solid films on compliant substrates. / Zhen, Yubao; Leo, Perry H.
In: Journal of Elasticity, Vol. 81, No. 1, 01.10.2005, p. 21-50.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Three-dimensional compositional elastic field in cubic anisotropic solid films on compliant substrates
AU - Zhen, Yubao
AU - Leo, Perry H.
PY - 2005/10/1
Y1 - 2005/10/1
N2 - 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.
AB - 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.
KW - Compositional elastic field
KW - Cubic anisotropy
KW - Double Laplace transform
KW - Film-substrate system
KW - Misfit
UR - http://www.scopus.com/inward/record.url?scp=33645284991&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645284991&partnerID=8YFLogxK
U2 - 10.1007/s10659-005-9001-9
DO - 10.1007/s10659-005-9001-9
M3 - Article
AN - SCOPUS:33645284991
VL - 81
SP - 21
EP - 50
JO - Journal of Elasticity
JF - Journal of Elasticity
SN - 0374-3535
IS - 1
ER -