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math-ph2019
A Polynomially Irreducible Functional Basis of Elasticity Tensors
Zhenyu Ming, Yannan Chen, Liqun Qi +1
Tensor function representation theory is an essential topic in both theoretical and applied mechanics. For the elasticity tensor, Olive, Kolev and Auffray (2017) proposed a minimal…
math-ph2019
A Polynomially Irreducible Functional Basis of Hemitropic Invariants of Piezoelectric Tensors
Y. Chen, Z. Ming, L. Qi +1
For piezoelectric tensors, Olive (2014) proposed a minimal integrity basis of 495 hemitropic invariants, which is also a functional basis. In this article, we construct a new funct…