On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description

Description of flow stress evolution, specifically an approximation of a set of flow curves acquired under a wide range of thermomechanical conditions, of various materials is often solved via so-called flow stress models. Some of these models are associated with a description of significant flow-cu...

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Main Authors: Petr Opěla, Petr Kawulok, Ivo Schindler, Rostislav Kawulok, Stanislav Rusz, Horymír Navrátil
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/10/11/1413
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spelling doaj-7dd631f1a340464f9d8269f280d0df692020-11-25T04:01:43ZengMDPI AGMetals2075-47012020-10-01101413141310.3390/met10111413On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State DescriptionPetr Opěla0Petr Kawulok1Ivo Schindler2Rostislav Kawulok3Stanislav Rusz4Horymír Navrátil5Faculty of Materials Science and Technology, VSB–Technical University of Ostrava, 17. Listopadu 2172/15, 70800 Ostrava–Poruba, Czech RepublicFaculty of Materials Science and Technology, VSB–Technical University of Ostrava, 17. Listopadu 2172/15, 70800 Ostrava–Poruba, Czech RepublicFaculty of Materials Science and Technology, VSB–Technical University of Ostrava, 17. Listopadu 2172/15, 70800 Ostrava–Poruba, Czech RepublicFaculty of Materials Science and Technology, VSB–Technical University of Ostrava, 17. Listopadu 2172/15, 70800 Ostrava–Poruba, Czech RepublicFaculty of Materials Science and Technology, VSB–Technical University of Ostrava, 17. Listopadu 2172/15, 70800 Ostrava–Poruba, Czech RepublicFaculty of Materials Science and Technology, VSB–Technical University of Ostrava, 17. Listopadu 2172/15, 70800 Ostrava–Poruba, Czech RepublicDescription of flow stress evolution, specifically an approximation of a set of flow curves acquired under a wide range of thermomechanical conditions, of various materials is often solved via so-called flow stress models. Some of these models are associated with a description of significant flow-curve coordinates. It is clear, the more accurate the coordinates description, the more accurate the assembled model. In the presented research, Zener–Hollomon-based relations, multi-layer perceptron networks and multivariate polynomials are employed to describe the peak and steady-state coordinates of an Invar 36 flow curve dataset. Comparison of the utilized methods in the case of the studied alloy has showed that the suitable description is given by the multivariate polynomials although the Zener–Hollomon and perceptron networks also offer valuable results.https://www.mdpi.com/2075-4701/10/11/1413flow stress descriptionpeak and steady-state descriptionregression analysisZener–Hollomon parameterartificial neural networksmultivariate polynomials
collection DOAJ
language English
format Article
sources DOAJ
author Petr Opěla
Petr Kawulok
Ivo Schindler
Rostislav Kawulok
Stanislav Rusz
Horymír Navrátil
spellingShingle Petr Opěla
Petr Kawulok
Ivo Schindler
Rostislav Kawulok
Stanislav Rusz
Horymír Navrátil
On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description
Metals
flow stress description
peak and steady-state description
regression analysis
Zener–Hollomon parameter
artificial neural networks
multivariate polynomials
author_facet Petr Opěla
Petr Kawulok
Ivo Schindler
Rostislav Kawulok
Stanislav Rusz
Horymír Navrátil
author_sort Petr Opěla
title On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description
title_short On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description
title_full On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description
title_fullStr On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description
title_full_unstemmed On the Zener–Hollomon Parameter, Multi-Layer Perceptron and Multivariate Polynomials in the Struggle for the Peak and Steady-State Description
title_sort on the zener–hollomon parameter, multi-layer perceptron and multivariate polynomials in the struggle for the peak and steady-state description
publisher MDPI AG
series Metals
issn 2075-4701
publishDate 2020-10-01
description Description of flow stress evolution, specifically an approximation of a set of flow curves acquired under a wide range of thermomechanical conditions, of various materials is often solved via so-called flow stress models. Some of these models are associated with a description of significant flow-curve coordinates. It is clear, the more accurate the coordinates description, the more accurate the assembled model. In the presented research, Zener–Hollomon-based relations, multi-layer perceptron networks and multivariate polynomials are employed to describe the peak and steady-state coordinates of an Invar 36 flow curve dataset. Comparison of the utilized methods in the case of the studied alloy has showed that the suitable description is given by the multivariate polynomials although the Zener–Hollomon and perceptron networks also offer valuable results.
topic flow stress description
peak and steady-state description
regression analysis
Zener–Hollomon parameter
artificial neural networks
multivariate polynomials
url https://www.mdpi.com/2075-4701/10/11/1413
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