WIAS Preprint No. 1512, (2010)

Parameter determination of an evolution model for phase transformations in steel



Authors

  • Streckenbach, Timo

2010 Mathematics Subject Classification

  • 34A55 82B26

Keywords

  • ordinary differential equation (ODE), inverse problem, time evolution model, phase transformation, ferrite, pearlite, bainite, parameter determination

Abstract

The paper is concerned with a general ansatz of a phenomenological evolution model for solid-solid phase transformation kinetics in steel. To model the phase transition of austenite-ferrite, -pearlite or -bainite, a first order nonlinear ordinary differential equation (ODE) is considered. The main goal of this paper is to derive certain conditions for parameters which based on data obtained from transformation diagrams. This leads to a set of independent parameters for which the inverse problem has an unique solution.

Appeared in

  • ZAMM Z. Angew. Math. Mech., 92 (2012) pp. 217--235.

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