Abstract: Based on the general solution of a kind of linear tensorial equations, the invariant representation of the spin of a symmetric tensor is obtained. This expression is used to study the spin of right and left stretch tensors and to discuss the relations between the different rotation rate of tensors encountered in finite deformation theory. According to the work conjugate principle, a representation of the stress conjugate to Hill's generalized strain is derived. As an important example, the rate of logarithm...