On the sufficient symmetry conditions for isotropy of elastic moduli
Journal Article
(2018)
Author(s)
C. Ayas (TU Delft - Computational Design and Mechanics)
C. Tekoglu (TOBB University of Economics and Technology)
DOI related publication
https://doi.org/10.1115/1.4039952
Final published version
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Publication Year
2018
Language
English
Issue number
7
Volume number
85
Article number
074502
Downloads counter
123
Abstract
The structural symmetry of a material can be manifested at a multitude of length scales such as spatial arrangement of atoms in a crystal structure, preferred orientation of grains in a polycrystalline material, alignment of reinforcing particles/fibers in composites or the micro-architecture of members in cellular solids. This paper proofs, in a simple yet rigorous manner, that six axes of fivefold structural symmetry is necessary and sufficient for isotropy of the elastic moduli tensor in the three-dimensional (3D) context.