Tensors associated with time-dependent stress

Abstract

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