Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids
This paper examines adiabatic processes in a thermoelastic material undergoing a solid-solid phase transition. It is shown that an initial-value problem of Riemann type, based on momentum balance, energy balance, kinematic compatibility and the entropy inequality, has a one-parameter family of solutions for a range of given data. Within this adiabatic setting, the notions of driving traction and kinetic relation are discussed. The enforcement of a kinetic relation at phase boundaries is shown to single out a particular solution of this Riemann problem from among the family of available solutions.
© 1994 Elsevier Science B.V. Received 17 November 1993; revised 19 March 1994 Communicated by J.M. Ball. We gratefully acknowledge the partial support of this work by the U.S. Office of Naval Research and the U.S. Army Research Office.