Elastic anisotropy factors for orthorhombic, tetragonal, and hexagonal crystals

Lau, Kei May; McCurdy, A. K.

doi:10.1103/physrevb.58.8980

Cited by 125 publications

(56 citation statements)

References 13 publications

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“…Other anisotropy factors have been derived within specific symmetry planes and symmetry directions in a crystal. Lau and McCurdy 19 derived factors based on in-plane phonon focusing for crystals of orthorhombic, tetragonal and hexagonal crystals. Thomsen 3 used three anisotropy factors to quantify the anisotropy of transversely isotropic materials (applicable to hexagonal crystals).…”

Section: Introductionmentioning

confidence: 99%

Elastic anisotropy of crystals

2016

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An anisotropy index seeks to quantify how directionally dependent the properties of a system are. In this article, the focus is on quantifying the elastic anisotropy of crystalline materials. Previous elastic anisotropy indices are reviewed and their shortcomings discussed. A new scalar log-Euclidean anisotropy measure AL is proposed, which overcomes these deficiencies. It is based on a distance measure in a log-Euclidean space applied to fourth-rank elastic tensors. AL is an absolute measure of anisotropy where the limiting case of perfect isotropy yields zero. It is a universal measure of anisotropy applicable to all crystalline materials. Specific examples of strong anisotropy are highlighted. A supplementary material provides an anisotropy table giving the values of AL for 2,176 crystallite compounds.

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Section: Introductionmentioning

confidence: 99%

Elastic anisotropy of crystals

2016

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“…In addition, the fact that C 44 is larger than C 66 indicates that the [1 0 0](0 1 0) shear is easier than the [1 0 0](0 0 1) shear in the CaX 2 Si 2 compounds. The shear elastic anisotropy factor [32] can be estimated to be A = 2C 66 /(C 11 À C 12 ). If A is equal to one, no anisotropy exists.…”

Section: Mechanical Propertiesmentioning

confidence: 99%