Jump conditions and kinetic relations at moving discontinuities

Abstract

AbstractThe problem of the kinetics of moving discontinuities is described on the example of the propagating phase‐transition front that corresponds to a stress‐induced martensitic transformation in an elastic bar. The kinetic relation is derived under the assumption of a linear dependence between the stress jump at the phase boundary and the driving force. The derived kinetic relation is consistent with jump relations and satisfies limiting requirements. The comparison of the developed theory with available experimental data is made in the case of the dynamics of a straight brittle crack. The corresponding kinetic relation is derived under the same assumption as in the case of phase boundary. Classical results for Homalite‐100 as well as recent experiments for Polyester/TiO2 are compared with the prediction of the kinetic relation. The agreement between theory and experiment is rather good, especially for such a simple theoretical model.