Tensors associated with time-dependent stress

Barbara A. Cotter, R. S. Rivlin
1955 Quarterly of Applied Mathematics  
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, • • • , (n -l)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 > to, and 2m + 2 symmetric tensors if m > n. Expressions for these tensors are obtained.
doi:10.1090/qam/69700 fatcat:rjbxtpyggndlhiw37ziagmtio4