Interfacial conditions for thermomechanical equilibrium in two‐phase crystals

摘要

A virtual variational approach is used to deduce the interfacial conditions for thermomechanical equilibrium in two‐phase crystals separated by a curved interface. The interface is modeled as a Gibbsian dividing surface and the excess quantities which include the deformation gradients, entropy, and number density of components are accounted for explicitly. Conditions necessary for equilibrium are obtained for both a coherent and incoherent interface that incorporate the effects of surface stress. An example illustrating the use of these new interfacial conditions in establishing boundary conditions is given.