On stresses conjugate to Eulerian strains

A stress is considered conjugate to a strain if the product of the stress and an objective rate of the strain has a trace which is equal to the rate of work per unit volume. Using Kronecker product relations, apparently new expressions for stresses conjugate to the Finger strain B, the Euler strain There Exists, the Eulerian (right) stretch tensor V, and log(V) are determined. In addition, a nonclassical strain There Exists is introduced which permits a constitutive equation expressing its Truesdell rate in terms of B and the Truesdell rate of the Cauchy stress.