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Slope analysis to obtain starting parameters for curve fitting calculations in the special case of the Johnson‐Mehl‐Avrami model function
Author(s) -
Oettel W.,
Fabian H.G.
Publication year - 1987
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170220515
Subject(s) - intersection (aeronautics) , isothermal process , thermodynamics , function (biology) , mathematics , electrical resistivity and conductivity , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology , engineering , aerospace engineering
The attempt was undertaken to describe analytically isothermal resistivity measurement curves of AlZn and AlZnMg alloys by means of the Johnson‐Mehl‐Avrami equation. The paper gives a survey of results obtained based on the application of the Extented Slope Analysis. Comparison was performed to results of fitting calculations (Linear Regression). It can be shown that the intersection behaviour after the Extented Slope Analysis leads to reasonable results if rough evaluation is required in a first stage of an investigation. Furthermore this method leads to reliable starting parameters and starting length of the fitting intervals. Additionally the second process with AlZnMg alloys can be estimated by use of the Extented Slope Analysis.