Applications of the Eyring equation to stress relaxation

Guiu and Pratt [32] have shown how a model consisting of an Eyring dashpot in series with an elastic element leads to a simple equation to describe stress relaxation curves in tension. Suppose that there is a total strain e on the system of 

We now replace the viscous strain rate ey with the high stress adaptation of Equation (10.29), which is 

Under conditions of stress relaxation, the total strain rate is zero and the stress decays in a manner governed by the relation 

This can be solved by separation of variables to give the stress as 

---