Three-dimensional compositional elastic field in cubic anisotropic solid films on compliant substrates

Yubao Zhen; Perry H. Leo

doi:10.1007/s10659-005-9001-9

Three-dimensional compositional elastic field in cubic anisotropic solid films on compliant substrates

Yubao Zhen^*
, Perry H. Leo

^*Corresponding author for this work

University of Minnesota Twin Cities

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	21-50
Number of pages	30
Journal	Journal of Elasticity
Volume	81
Issue number	1
DOIs	https://doi.org/10.1007/s10659-005-9001-9
State	Published - Oct 2005
Externally published	Yes

Keywords

Compositional elastic field
Cubic anisotropy
Double Laplace transform
Film-substrate system
Misfit

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10.1007/s10659-005-9001-9

Cite this

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title = "Three-dimensional compositional elastic field in cubic anisotropic solid films on compliant substrates",

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.",

keywords = "Compositional elastic field, Cubic anisotropy, Double Laplace transform, Film-substrate system, Misfit",

author = "Yubao Zhen and Leo, \{Perry H.\}",

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AU - Leo, Perry H.

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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 - https://www.scopus.com/pages/publications/33645284991

U2 - 10.1007/s10659-005-9001-9

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EP - 50

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JF - Journal of Elasticity

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ER -

Three-dimensional compositional elastic field in cubic anisotropic solid films on compliant substrates

Abstract

Keywords

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