Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Zelepugin, Sergey A., Cherepanov, Roman O., Pakhnutova, Nadezhda V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
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
_version_ 1785088613493506048
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
work_keys_str_mv AT zelepuginsergeya optimizationofjohnsoncookconstitutivemodelparametersusingthenesterovgradientdescentmethod
AT cherepanovromano optimizationofjohnsoncookconstitutivemodelparametersusingthenesterovgradientdescentmethod
AT pakhnutovanadezhdav optimizationofjohnsoncookconstitutivemodelparametersusingthenesterovgradientdescentmethod