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Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method
Numerical simulation of impact and shock-wave interactions of deformable solids is an urgent problem. The key to the adequacy and accuracy of simulation is the material model that links the yield strength with accumulated plastic strain, strain rate, and temperature. A material model often used in e...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10419794/ https://www.ncbi.nlm.nih.gov/pubmed/37570157 http://dx.doi.org/10.3390/ma16155452 |
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author | Zelepugin, Sergey A. Cherepanov, Roman O. Pakhnutova, Nadezhda V. |
author_facet | Zelepugin, Sergey A. Cherepanov, Roman O. Pakhnutova, Nadezhda V. |
author_sort | Zelepugin, Sergey A. |
collection | PubMed |
description | Numerical simulation of impact and shock-wave interactions of deformable solids is an urgent problem. The key to the adequacy and accuracy of simulation is the material model that links the yield strength with accumulated plastic strain, strain rate, and temperature. A material model often used in engineering applications is the empirical Johnson–Cook (JC) model. However, an increase in the impact velocity complicates the choice of the model constants to reach agreement between numerical and experimental data. This paper presents a method for the selection of the JC model constants using an optimization algorithm based on the Nesterov gradient-descent method. A solution quality function is proposed to estimate the deviation of calculations from experimental data and to determine the optimum JC model parameters. Numerical calculations of the Taylor rod-on-anvil impact test were performed for cylindrical copper specimens. The numerical simulation performed with the optimized JC model parameters was in good agreement with the experimental data received by the authors of this paper and with the literature data. The accuracy of simulation depends on the experimental data used. For all considered experiments, the calculation accuracy (solution quality) increased by 10%. This method, developed for selecting optimized material model constants, may be useful for other models, regardless of the numerical code used for high-velocity impact simulations. |
format | Online Article Text |
id | pubmed-10419794 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-104197942023-08-12 Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method Zelepugin, Sergey A. Cherepanov, Roman O. Pakhnutova, Nadezhda V. Materials (Basel) Article Numerical simulation of impact and shock-wave interactions of deformable solids is an urgent problem. The key to the adequacy and accuracy of simulation is the material model that links the yield strength with accumulated plastic strain, strain rate, and temperature. A material model often used in engineering applications is the empirical Johnson–Cook (JC) model. However, an increase in the impact velocity complicates the choice of the model constants to reach agreement between numerical and experimental data. This paper presents a method for the selection of the JC model constants using an optimization algorithm based on the Nesterov gradient-descent method. A solution quality function is proposed to estimate the deviation of calculations from experimental data and to determine the optimum JC model parameters. Numerical calculations of the Taylor rod-on-anvil impact test were performed for cylindrical copper specimens. The numerical simulation performed with the optimized JC model parameters was in good agreement with the experimental data received by the authors of this paper and with the literature data. The accuracy of simulation depends on the experimental data used. For all considered experiments, the calculation accuracy (solution quality) increased by 10%. This method, developed for selecting optimized material model constants, may be useful for other models, regardless of the numerical code used for high-velocity impact simulations. MDPI 2023-08-03 /pmc/articles/PMC10419794/ /pubmed/37570157 http://dx.doi.org/10.3390/ma16155452 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Zelepugin, Sergey A. Cherepanov, Roman O. Pakhnutova, Nadezhda V. Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method |
title | Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method |
title_full | Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method |
title_fullStr | Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method |
title_full_unstemmed | Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method |
title_short | Optimization of Johnson–Cook Constitutive Model Parameters Using the Nesterov Gradient-Descent Method |
title_sort | optimization of johnson–cook constitutive model parameters using the nesterov gradient-descent method |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10419794/ https://www.ncbi.nlm.nih.gov/pubmed/37570157 http://dx.doi.org/10.3390/ma16155452 |
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