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Inverse Parameter Identification for Hyperelastic Model of a Polyurea

An inverse procedure was proposed to identify the material parameters of polyurea materials. In this procedure, a polynomial hyperelastic model was chosen as the constitutive model. Both uniaxial tension and compression tests were performed for a polyurea. An iterative inverse method was presented t...

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Detalles Bibliográficos
Autores principales: Xiao, Yihua, Tang, Ziqiang, Hong, Xiangfu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8309456/
https://www.ncbi.nlm.nih.gov/pubmed/34301009
http://dx.doi.org/10.3390/polym13142253
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author Xiao, Yihua
Tang, Ziqiang
Hong, Xiangfu
author_facet Xiao, Yihua
Tang, Ziqiang
Hong, Xiangfu
author_sort Xiao, Yihua
collection PubMed
description An inverse procedure was proposed to identify the material parameters of polyurea materials. In this procedure, a polynomial hyperelastic model was chosen as the constitutive model. Both uniaxial tension and compression tests were performed for a polyurea. An iterative inverse method was presented to identify parameters for the tensile performance of the polyurea. This method adjusts parameters iteratively to achieve a good agreement between tensile forces from the tension test and its finite element (FE) model. A response surface-based inverse method was presented to identify parameters for the compression performance of the polyurea. This method constructs a radial basis function (RBF)-based response surface model for the error between compressive forces from the compression test and its FE model, and it employs the genetic algorithm to minimize the error. With the use of the two inverse methods, two sets of parameters were obtained. Then, a complete identified uniaxial stress–strain curve for both tensile and compressive deformations was obtained with the two sets of parameters. Fitting this curve with the constitutive equation gave the final material parameters. The present inverse procedure can simplify experimental configurations and consider effects of friction in compression tests. Moreover, it produces material parameters that can appropriately characterize both tensile and compressive behaviors of the polyurea.
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spelling pubmed-83094562021-07-25 Inverse Parameter Identification for Hyperelastic Model of a Polyurea Xiao, Yihua Tang, Ziqiang Hong, Xiangfu Polymers (Basel) Article An inverse procedure was proposed to identify the material parameters of polyurea materials. In this procedure, a polynomial hyperelastic model was chosen as the constitutive model. Both uniaxial tension and compression tests were performed for a polyurea. An iterative inverse method was presented to identify parameters for the tensile performance of the polyurea. This method adjusts parameters iteratively to achieve a good agreement between tensile forces from the tension test and its finite element (FE) model. A response surface-based inverse method was presented to identify parameters for the compression performance of the polyurea. This method constructs a radial basis function (RBF)-based response surface model for the error between compressive forces from the compression test and its FE model, and it employs the genetic algorithm to minimize the error. With the use of the two inverse methods, two sets of parameters were obtained. Then, a complete identified uniaxial stress–strain curve for both tensile and compressive deformations was obtained with the two sets of parameters. Fitting this curve with the constitutive equation gave the final material parameters. The present inverse procedure can simplify experimental configurations and consider effects of friction in compression tests. Moreover, it produces material parameters that can appropriately characterize both tensile and compressive behaviors of the polyurea. MDPI 2021-07-09 /pmc/articles/PMC8309456/ /pubmed/34301009 http://dx.doi.org/10.3390/polym13142253 Text en © 2021 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
Xiao, Yihua
Tang, Ziqiang
Hong, Xiangfu
Inverse Parameter Identification for Hyperelastic Model of a Polyurea
title Inverse Parameter Identification for Hyperelastic Model of a Polyurea
title_full Inverse Parameter Identification for Hyperelastic Model of a Polyurea
title_fullStr Inverse Parameter Identification for Hyperelastic Model of a Polyurea
title_full_unstemmed Inverse Parameter Identification for Hyperelastic Model of a Polyurea
title_short Inverse Parameter Identification for Hyperelastic Model of a Polyurea
title_sort inverse parameter identification for hyperelastic model of a polyurea
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8309456/
https://www.ncbi.nlm.nih.gov/pubmed/34301009
http://dx.doi.org/10.3390/polym13142253
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