The Biaxial Moduli of Cubic Materials Subjected to an Equi-biaxial Elastic Strain
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Authors
Knowles, KM
Abstract
Formulae for the biaxial moduli along the directions of principal stress for (hkl) interfaces of cubic materials are given for situations in which there is equi-biaxial strain within the plane. These formulae are relevant in the consideration of the deposition of thin films on single crystal substrates such as silicon. Within a particular (hkl), the directions defining these principal biaxial moduli are shown to be those along which there are the extreme values of the shear modulus and Poisson’s ratio. Conditions for stationary values of the biaxial moduli are also derived, from which the conditions for the global extrema of the biaxial moduli are established.
Description
Keywords
Anisotropy, Cubic materials, Elasticity, Biaxial moduli, Tensor algebra
Journal Title
Journal of Elasticity
Conference Name
Journal ISSN
0374-3535
1573-2681
1573-2681
Volume Title
Publisher
Springer Science and Business Media LLC