Constitutive Models for the Prediction of the Hot Deformation Behavior of the 10%Cr Steel Alloy
The aim of this paper is to establish a reliable model that provides the best fit to the specific behavior of the flow stresses of the 10%Cr steel alloy at the time of hot deformation. Modified Johnson-Cook and strain-compensated Arrhenius-type (phenomenological models), in addition to two Artificia...
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description | The aim of this paper is to establish a reliable model that provides the best fit to the specific behavior of the flow stresses of the 10%Cr steel alloy at the time of hot deformation. Modified Johnson-Cook and strain-compensated Arrhenius-type (phenomenological models), in addition to two Artificial Neural Network (ANN) models were established with the view toward investigating their stress prediction performances. The ANN models were trained using Scaled Conjugate Gradient (SCG) and Levenberg-Marquardt (LM) algorithms. The prediction accuracy of the established models was evaluated using the following well-known statistical parameters: (a) correlation coefficient (R), (b) Average Absolute Relative Error (AARE), (c) Root Mean Squared Error (RMSE), and Relative Error (RE). The results showed that both of the modified Johnson-Cook and strain-compensated Arrhenius models could not competently predict the flow behavior. On the contrary, the results indicated that the two proposed ANN models precisely predicted the flow stress values and that the LM-trained ANN provided a superior performance over the SCG-trained model, as it yielded an RMSE of as low as 0.441 MPa. |
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Modified Johnson-Cook and strain-compensated Arrhenius-type (phenomenological models), in addition to two Artificial Neural Network (ANN) models were established with the view toward investigating their stress prediction performances. The ANN models were trained using Scaled Conjugate Gradient (SCG) and Levenberg-Marquardt (LM) algorithms. The prediction accuracy of the established models was evaluated using the following well-known statistical parameters: (a) correlation coefficient (R), (b) Average Absolute Relative Error (AARE), (c) Root Mean Squared Error (RMSE), and Relative Error (RE). The results showed that both of the modified Johnson-Cook and strain-compensated Arrhenius models could not competently predict the flow behavior. On the contrary, the results indicated that the two proposed ANN models precisely predicted the flow stress values and that the LM-trained ANN provided a superior performance over the SCG-trained model, as it yielded an RMSE of as low as 0.441 MPa.</description><identifier>ISSN: 1996-1944</identifier><identifier>EISSN: 1996-1944</identifier><identifier>DOI: 10.3390/ma12182873</identifier><identifier>PMID: 31492023</identifier><language>eng</language><publisher>Switzerland: MDPI AG</publisher><subject>Algorithms ; Aluminum alloys ; Artificial intelligence ; Artificial neural networks ; Chromium steels ; Constitutive models ; Correlation coefficients ; Datasets ; Deformation ; High temperature ; Magnesium alloys ; Mathematical models ; Metal forming ; Model accuracy ; Neural networks ; Neurons ; Root-mean-square errors ; Software ; Steel alloys ; Strain ; Strain hardening ; Yield strength</subject><ispartof>Materials, 2019-09, Vol.12 (18), p.2873</ispartof><rights>2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). 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Modified Johnson-Cook and strain-compensated Arrhenius-type (phenomenological models), in addition to two Artificial Neural Network (ANN) models were established with the view toward investigating their stress prediction performances. The ANN models were trained using Scaled Conjugate Gradient (SCG) and Levenberg-Marquardt (LM) algorithms. The prediction accuracy of the established models was evaluated using the following well-known statistical parameters: (a) correlation coefficient (R), (b) Average Absolute Relative Error (AARE), (c) Root Mean Squared Error (RMSE), and Relative Error (RE). The results showed that both of the modified Johnson-Cook and strain-compensated Arrhenius models could not competently predict the flow behavior. On the contrary, the results indicated that the two proposed ANN models precisely predicted the flow stress values and that the LM-trained ANN provided a superior performance over the SCG-trained model, as it yielded an RMSE of as low as 0.441 MPa.</description><subject>Algorithms</subject><subject>Aluminum alloys</subject><subject>Artificial intelligence</subject><subject>Artificial neural networks</subject><subject>Chromium steels</subject><subject>Constitutive models</subject><subject>Correlation coefficients</subject><subject>Datasets</subject><subject>Deformation</subject><subject>High temperature</subject><subject>Magnesium alloys</subject><subject>Mathematical models</subject><subject>Metal forming</subject><subject>Model accuracy</subject><subject>Neural networks</subject><subject>Neurons</subject><subject>Root-mean-square errors</subject><subject>Software</subject><subject>Steel alloys</subject><subject>Strain</subject><subject>Strain hardening</subject><subject>Yield strength</subject><issn>1996-1944</issn><issn>1996-1944</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNpdkVtLxDAQhYMouui--AOkIIII1dx6yYuw1isoCupzSNupG2mbNUkX9t8b3fWalwxzPk5mchDaJfiYMYFPOkUoyWmesTU0IkKkMRGcr_-qt9DYuVccDmOBFJtoixEuKKZshGRheue1H7yeQ3Rnamhd1Bgb-SlEDxZqXXlt-sg0n51r46NzCHqnPttnMFVzHfCVTvBBYaNHD9BGk7Y1ix200ajWwXh1b6Pny4un4jq-vb-6KSa3ccVx6mNRE6pIycqas5xAqmiSZDgjSZY0WIUSaEVJXTci7MCSsqkFE4wmGIscE0rZNjpd-s6GsoO6gt5b1cqZ1Z2yC2mUln-VXk_li5nLNEtTTJJgcLgysOZtAOdlp10Fbat6MIOTlOZp-MzlW_v_0Fcz2D6sJ2nC8zTPOeeBOlpSlTXOWWi-hyFYfkQnf6IL8N7v8b_Rr6DYO4AikaM</recordid><startdate>20190905</startdate><enddate>20190905</enddate><creator>Shokry, Abdallah</creator><creator>Gowid, Samer</creator><creator>Kharmanda, Ghias</creator><creator>Mahdi, Elsadig</creator><general>MDPI AG</general><general>MDPI</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>PDBOC</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7X8</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0001-8053-0164</orcidid><orcidid>https://orcid.org/0000-0002-8344-9270</orcidid><orcidid>https://orcid.org/0000-0001-9206-288X</orcidid></search><sort><creationdate>20190905</creationdate><title>Constitutive Models for the Prediction of the Hot Deformation Behavior of the 10%Cr Steel Alloy</title><author>Shokry, Abdallah ; 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Modified Johnson-Cook and strain-compensated Arrhenius-type (phenomenological models), in addition to two Artificial Neural Network (ANN) models were established with the view toward investigating their stress prediction performances. The ANN models were trained using Scaled Conjugate Gradient (SCG) and Levenberg-Marquardt (LM) algorithms. The prediction accuracy of the established models was evaluated using the following well-known statistical parameters: (a) correlation coefficient (R), (b) Average Absolute Relative Error (AARE), (c) Root Mean Squared Error (RMSE), and Relative Error (RE). The results showed that both of the modified Johnson-Cook and strain-compensated Arrhenius models could not competently predict the flow behavior. 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subjects | Algorithms Aluminum alloys Artificial intelligence Artificial neural networks Chromium steels Constitutive models Correlation coefficients Datasets Deformation High temperature Magnesium alloys Mathematical models Metal forming Model accuracy Neural networks Neurons Root-mean-square errors Software Steel alloys Strain Strain hardening Yield strength |
title | Constitutive Models for the Prediction of the Hot Deformation Behavior of the 10%Cr Steel Alloy |
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