Sixth-order Isotropic Descartes Tensor

Tensor analysis is an important tool in theoretical physics,continuum mechanics and many other areas of science and engineering.This paper is concerned with the isotropic tensor. It is a special kind of tensor. In this paper, we main study on its expression.This article first introduces the diagonal line coordinates in the three-dimensional coordinate system,the transformation between vector-based,the definition of ten-sor,the concept of isotropic and four special transformation.On this basis,we draw the general representation of the second,third and fourth-order isotropic symmetry descartes tensor.Then we extend the fifth-order isotropic descartes tensor to the six-order isotropic descartes tensor and obtain the general representation of sixth-order isotropic descartes tensor.The general representation of sixth-order isotropic descartes tensor is:...