| 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:... |
