On the sufficient symmetry conditions for isotropy of elastic moduli

C. Ayas*, C. Tekoglu

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)


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 languageEnglish
Article number074502
Number of pages5
JournalJournal of Applied Mechanics, Transactions ASME
Issue number7
Publication statusPublished - 2018


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