A minimal integrity basis for the elasticity tensor - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2016

A minimal integrity basis for the elasticity tensor

Résumé

We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C. Decomposing C into its SO(3)-irreducible components we reduce this problem to finding joint invariants of a triplet (a, b, D), where a and b are second-order harmonic tensors, and D is a fourth-order harmonic tensor. Combining theorems of classical invariant theory and formal computations, a minimal integrity basis of 297 polynomial invariants for the elasticity tensor is obtained for the first time.
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Dates et versions

hal-01323543 , version 1 (30-05-2016)
hal-01323543 , version 2 (15-05-2017)

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Nicolas Auffray, Boris Kolev, Marc Olive. A minimal integrity basis for the elasticity tensor. 2016. ⟨hal-01323543v1⟩

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