关于张量函数表示理论的标量不变量的讨论

DISCUSSION ABOUT THE SCALAR INVARIANTS OF REPRESENTATION THEORY FOR TENSOR FUNCTIONS

摘要: 发现文献1，2提出的张量函数表示理论中的完备而不可约的不变量不是互相完全独立的．分别对一个任意二阶张量和两个对称二阶张量的标量不变量进行了计算，证明前者只有六个不变量是独立的，后者只有九个是独立的．

Abstract: It is found that the complete and irreducible scalar invariants in references 1 and 2 are not independent to each other. The scalax invariants of an arbitrary second order tensor and two symmetric second order tensors are studied separately. It is proved that for the previous case there are only six independent scalax invariants and for the later case there are only nine independent scalar invariants.