Data di Pubblicazione:
2016
Citazione:
A germ-grain model applied to the morphological study of dual phase steel / A. Micheletti, J. Nakagawa, A.A. Alessi, D. Morale, E. Villa. - In: JOURNAL OF MATHEMATICS IN INDUSTRY. - ISSN 2190-5983. - 6:1(2016 Nov 22), pp. 12.1-12.24. ((Intervento presentato al convegno ECMI 2014 tenutosi a Taormina nel 2014 [10.1186/s13362-016-0033-5].
Abstract:
The mechanical properties of dual Phase steels (DP steels) are strictly related to the
spatial distribution and the geometry of the two phases composing the steel, ferrite
and martensite. Due to the high costs to obtain images of sections of steel samples,
one important industrial problem is the reduction of the number of 2D sections
needed to build and simulate a geometric model which may reproduce in a realistic
way the 3D geometry of the material. In this context, the availability of suitable
techniques of parameter estimation or identification is fundamental to solve the
problem.
In this work we present a germ-grain model which approximates the main
geometric characteristics of the martensite, taking into account the inhomogeneities
of the material. The parameters of the model are estimated on the basis of the
morphological characteristics of the images of about 150 tomographic sections of a
real sample, quantified by the Minkowski functionals. Here we replace the
Mahalanobis distance, introduced in previous literature, with the N-distance, which
provides computational advantages. In order to test if the estimated model is
reproducing the distribution of the Minkowski functionals of the real material, both
confidence bands from the simulated model are computed and compared with the
real data and techniques for the detection of functional outliers are applied to
quantify the accuracy of fit of the estimated model.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
dual phase steel; germ grain model; Minkowski functionals; mathematical morphology
Elenco autori:
A. Micheletti, J. Nakagawa, A.A. Alessi, D. Morale, E. Villa
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