34 citations · 75 across the 22 of their papers we have counts for
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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…
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…
Two Irreducible Functional Bases of Isotropic Invariants of A Fourth Order Three-Dimensional Symmetric and Traceless Tensor
Zhongming Chen, Yannan Chen, Liqun Qi +1
The elasticity tensor is one of the most important fourth order tensors in mechanics. Fourth order three-dimensional symmetric and traceless tensors play a crucial role in the stud…
An Irreducible Polynomial Functional Basis of Two-dimensional Eshelby Tensors
Zhenyu Ming, Liping Zhang, Yannan Chen
Representation theorems for both isotropic and anisotropic functions are of prime importance in both theoretical and applied mechanics. The Eshelby inclusion problem is very fundam…
Irreducible Function Bases of Isotropic Invariants of A Third Order Three-Dimensional Symmetric and Traceless Tensor
Yannan Chen, Shenglong Hu, Liqun Qi +1
Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-d…
Spectral Analysis of Piezoelectric Tensors
Yannan Chen, Antal Jákli, Liqun Qi
A third order real tensor is called a piezoelectric-type tensor if it is partially symmetric with respect to its last two indices. The piezoelectric tensor is a piezoelectric-type…
Octupolar Tensors for Liquid Crystals
Yannan Chen, Liqun Qi, Epifanio G. Virga
A third-order three-dimensional symmetric traceless tensor, called the \emph{octupolar} tensor, has been introduced to study tetrahedratic nematic phases in liquid crystals. The oc…