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Planes of isotropic Poisson's ratio in anisotropic crystalline solids

Accepted version
Peer-reviewed

Type

Article

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Authors

Shrikanth, S 
Knowles, KM 
Neelakantan, S 
Prasad, R 

Abstract

It is shown that loading directions can exist in all single crystals for which Poisson’s ratio is isotropic in the plane transverse to the loading direction. The body diagonals and the cube axes of cubic crystals, the four-fold axis in tetragonal crystals and the six-fold axis in hexagonal crystals are examples of such loading directions. However, these loading directions do not necessarily just lie only along high rotational symmetry axes. A new three-dimensional “anisotropy surface” is introduced to represent the degree of anisotropy of the Poisson’s ratio within the plane normal to a loading direction for a particular choice of single crystal.

Description

Keywords

Anisotropy, Crystals, Elastic solids, Poisson's ratio

Journal Title

International Journal of Solids and Structures

Conference Name

Journal ISSN

0020-7683
1879-2146

Volume Title

191-192

Publisher

Elsevier BV
Sponsorship
This work is part of the Early Career Research (ECR) grant award (Ref. no.: ECR/2016/001953) funded by Science and Engineering Research Board (SERB) of Department of Science and Technology (DST), India. Dr. Suresh Neelakantan acknowledges the support.