Planes of isotropic Poisson's ratio in anisotropic crystalline solids
International Journal of Solids and Structures
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Shrikanth, S., Knowles, K., Neelakantan, S., & Prasad, R. (2020). Planes of isotropic Poisson's ratio in anisotropic crystalline solids. International Journal of Solids and Structures, 191-192 628-645. https://doi.org/10.1016/j.ijsolstr.2019.10.014
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.
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.
External DOI: https://doi.org/10.1016/j.ijsolstr.2019.10.014
This record's URL: https://www.repository.cam.ac.uk/handle/1810/298289
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Licence URL: https://creativecommons.org/licenses/by-nc-nd/4.0/