15 citations · 114 across the 30 of their papers we have counts for
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Copositivity of Three-Dimensional Symmetric Tensors
Liqun Qi, Yisheng Song, Xinzhen Zhang
In this paper, we seek analytically checkable necessary and sufficient condition for copositivity of a three-dimensional symmetric tensor. We first show that for a general third or…
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…
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…
Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space
Liqun Qi, Zhenghai Huang
In this paper, we study invariants of second order tensors in an -dimensional flat Riemannian space. We define eigenvalues, eigenvectors and characteristic polynomials for secon…
An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor
Zhongming Chen, Jinjie Liu, Liqun Qi +2
In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper…
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…