In this owrk the kinetics and kinematics equations are developed for elastic homogeneous solids containing inelastic discontinuities with moving boundaries. From the derived free energy and the power of external forces one obtains the driving force acting on the internal boundary. Introducing the interface operators and some hypotheses on the inelastic fields one gets to formulate the driving force for the formation of an ellipsoidal domain. The theoretical procedure is illustrated by the calculation of interaction of a dislocation loop with a grain boundary and extended to the case of interaction micro domains. An application to the problem of coupling between plasticity and martensitic phase transformation is presented and discussed.
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