A model-inspired phenomenology constitutive equation for the temperature-dependence of flow stress at confined dimension II

This paper presents further development of the constitutive equations based on model-inspired phenomenological approach. In our previous approach, three figures of merit functions were examined to study the temperature-dependence of yield stress and found two model equations that may work especially well for the small volume materials in the moderate temperature ranges (2<TM/T>5). We have investigated the underlying assumptions behind each model to substantiate their physical correctness. We examined the parameters in each models using the frame of flow stress being dislocation-mediated, thermally activated, and obstacle-controlled process. These examinations led us to find refined model equations with parameters that can be related to the characteristics of flow mechanisms.