WIAS Preprint No. 1225, (2007)

On a thermomechanical model of phase transitions in steel


  • Chełminski, Krzysztof
  • Hömberg, Dietmar
  • Kern, Daniela

2010 Mathematics Subject Classification

  • 35Q72 74A15 74F05


  • Heat treatment, coupled partial differential equation, existence and uniqueness, phase transitions, linear thermoelasticity, thermomechanics, distortion




We investigate a thermomechanical model of phase transitions in steel. The strain is assumed to be additively decomposed into an elastic and a thermal part as well as a contribution from transformation induced plasticity. The resulting model can be viewed as an extension of quasistatic linear thermoelasticity. We prove existence of a unique solution and conclude with some numerical simulations.

Appeared in

  • Adv. Math. Sci. Appl., 18 (2008), pp. 119--140

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