CaltechAUTHORS
Published December 15, 1994 | Version public
Journal Article Metadata-only

Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids

Creators

  • 1. ROR icon Massachusetts Institute of Technology
  • 2. ROR icon California Institute of Technology

Abstract

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.

Additional Information

© 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.

Additional details

Identifiers

Eprint ID
50778
Resolver ID
CaltechAUTHORS:20141024-102313946

Funding

Office of Naval Research (ONR)
Army Research Office (ARO)

Dates

Created
2014-10-24
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Updated
2021-11-10
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