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Mathematics and Mechanics of Solids
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Adiabatic Phase Boundary Propagation in a Theromoelastic Solid

Sergio Turteltaub

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125

The dynamical aspects of solid-solid phase transformations are studied within the framework of the theory of thermoelasticity. A problem of the Riemann type for a one-dimensional bar undergoing an adiabatic process is analyzed. It is shown that by imposing a kinetic relation and a nucleation criterion, it is possible to single out a unique solution. This extends to the thermomechanical case results previously found in a purely mechanical context.

Mathematics and Mechanics of Solids, Vol. 2, No. 2, 117-142 (1997)
DOI: 10.1177/108128659700200202


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