WIAS Preprint No. 1298, (2008)

On the evaluation of dilatometer experiments


  • Hömberg, Dietmar
    ORCID: 0000-0001-9460-5729
  • Togobytska, Nataliya
  • Yamamoto, Masahiro

2010 Mathematics Subject Classification

  • 35R30 74F05 74N99


  • dilatometer, phase transitions, inverse problem




The goal of this paper is a mathematical investigation of dilatometer experiments to measure the kinetics of solid-solid phase transitions in steel upon cooling from the high temperature phase. Usually, the data are only used for measuring the start and end temperature of the phase transition. In the case of several coexisting product phases, lavish microscopic investigations have to be performed to obtain the resulting fractions of the different phases. In contrast, we show that the complete phase transition kinetics including the final phase fractions are uniquely determined by the dilatometer data and present some numerical identification results.

Appeared in

  • Appl. Anal., 88 (2009) pp. 669-681.

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