Abstract
A thermodynamically consistent finite-volume numerical algorithm for thermoelastic phasetransition front propagation is described. A simple mathematical model of martensitic phase transition front propagation is considered. The phase transition front is viewed as an ideal mathematical discontinuity surface. The problem remains nonlinear even in this simplified description that requires a numerical solution. A nonequilibrium description of the process is provided by means of nonequilibrium jump relations at the moving phase boundary, which are formulated in terms of contact quantities. The same contact quantities are used in the construction of a finite-volume numerical scheme. The additional constitutive information is introduced by a certain assumption about the entropy production at the phase boundary. Results of numerical simulations show that the proposed approach allows us to capture experimental observations in agreement with theoretical predictions in spite of the idealization of the process.
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