I am studying the continuum mechanics based model of sintering proposed by Olevsky et. al. in the context of spark plasma sintering.
First proposition of the model came in 1997: https://www.sciencedirect.com/science/article/abs/pii/S0927796X98000096
It was described in context of SPS in 2012:
Article Fundamental Aspects of Spark Plasma Sintering: II. Finite El...
In this model, the author proposes a constitutive equation describing the relationship between stress and strain. In this constitutive equation, the applied stress is equated to a function of equivalent stress, effective stress of sintering, strain rate, and equivalent strain rate.
I think that the applied stress corresponds to the pressure applied on a sample during SPS. Now I would like to understand the conceptual differences between effective stress of sintering and equivalent stress, and also between equivalent strain rate and regular strain rate.