Tensors associated with time-dependent stress

It is assumed that six functional relations exist between the components of stress and their first $m$ material time derivatives and the gradients of displacement, velocity, acceleration, second acceleration, . . . , $\left ( {n - 1} \right )$th acceleration. It is shown that these relations may then be expressed as relations between the components of $m + n + 2$ symmetric tensors if $n \> m$, and $2m + 2$ symmetric tensors if $m \> n$. Expressions for these tensors are obtained.