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In this paper, we present an eleven invariant isotropic irreducible functionbasis of a third order three-dimensional symmetric tensor. This irreduciblefunction basis is a proper subset of the Olive-Auffray minimal isotropicintegrity basis of that tensor. The octic invariant and a sextic invariant inthe Olive-Auffray integrity basis are dropped out. This result is ofsignificance to the further research of irreducible function bases of higherorder tensors.

An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor