Elastic anisotropy of crystals | Zendy

Christopher M. Kube | Zendy

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Elastic anisotropy of crystals

Author(s) -

Christopher M. Kube

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4962996

Subject(s) - anisotropy , isotropy , measure (data warehouse) , condensed matter physics , crystallite , scalar (mathematics) , physics , materials science , statistical physics , mathematics , geometry , optics , computer science , database , metallurgy

An anisotropyindex seeks to quantify how directionally dependent the properties of a system are. Inthis article, the focus is on quantifying the elastic anisotropy of crystallinematerials.Previous elastic anisotropy indices are reviewed and their shortcomings discussed. A newscalar log-Euclidean anisotropy measure AL isproposed, which overcomes these deficiencies. It is based on a distance measure in alog-Euclidean space applied to fourth-rank elastic tensors.AL is an absolute measure of anisotropy where the limitingcase of perfect isotropy yields zero. It is a universal measure of anisotropy applicable to allcrystalline materials. Specific examples of strong anisotropy are highlighted. Asupplementarymaterial provides an anisotropy table giving thevalues of AL for 2,176 crystallitecompounds

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