Qs. Zheng, ON THE REPRESENTATIONS FOR ISOTROPIC VECTOR-VALUED, SYMMETRICAL TENSOR-VALUED AND SKEW-SYMMETRICAL TENSOR-VALUED FUNCTIONS, International journal of engineering science, 31(7), 1993, pp. 1013-1024
In this paper, we give a new derivation procedure for determining the
representations for 3- and 2-dimensional isotropic vector-valued, symm
etric tensor-valued and skew-symmetric tensor-valued functions of vect
ors, symmetric tensors and skew-symmetric tensors. Simplified represen
tations for isotropic scalar-valued and vector-valued functions are su
ggested.