4 papers
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…
Computing all Laplacian H-eigenvalues for a k-uniform loose path of length three
Junjie Yue, Liping Zhang
The spectral theory of Laplacian tensor is an important tool for revealing some important properties of a hypergraph. It is meaningful to compute all Laplacian H-eigenvalues for so…
A mixed integer programming approach to the tensor complementarity problem
Shouqiang Du, Liping Zhang
In this paper, we establish a new approach to solve the tensor complementarity problem (TCP). A mixed integer programming model is given and the TCP is solved by solving the model.…
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…