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Parameter determination of an evolution model for phase transformations in steel
Author(s) -
Streckenbach T.
Publication year - 2012
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201100024
Subject(s) - ode , austenite , ansatz , bainite , transformation (genetics) , pearlite , ordinary differential equation , ferrite (magnet) , mathematics , nonlinear system , phenomenological model , thermodynamics , materials science , differential equation , metallurgy , mathematical analysis , physics , chemistry , microstructure , mathematical physics , statistics , biochemistry , composite material , quantum mechanics , gene
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 that are based on data obtained from transformation diagrams. This leads to a set of independent parameters for which the inverse problem has a unique solution.