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.
| Original language | English |
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| Article number | 074502 |
| Number of pages | 5 |
| Journal | Journal of Applied Mechanics, Transactions ASME |
| Volume | 85 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2018 |