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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Main Authors: Yihua Xiao, Ziqiang Tang, Xiangfu Hong
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/13/14/2253
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author Yihua Xiao
Ziqiang Tang
Xiangfu Hong
author_facet Yihua Xiao
Ziqiang Tang
Xiangfu Hong
author_sort Yihua Xiao
collection DOAJ
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 doaj.art-d0e22ecbb84f40d08bfaf4dccc71241b2023-11-22T04:45:28ZengMDPI AGPolymers2073-43602021-07-011314225310.3390/polym13142253Inverse Parameter Identification for Hyperelastic Model of a PolyureaYihua Xiao0Ziqiang Tang1Xiangfu Hong2School of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013, ChinaSchool of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013, ChinaSchool of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013, ChinaAn 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.https://www.mdpi.com/2073-4360/13/14/2253polyureahyperelastic modelinverse procedurefinite elementexperiment
spellingShingle Yihua Xiao
Ziqiang Tang
Xiangfu Hong
Inverse Parameter Identification for Hyperelastic Model of a Polyurea
Polymers
polyurea
hyperelastic model
inverse procedure
finite element
experiment
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 polyurea
hyperelastic model
inverse procedure
finite element
experiment
url https://www.mdpi.com/2073-4360/13/14/2253
work_keys_str_mv AT yihuaxiao inverseparameteridentificationforhyperelasticmodelofapolyurea
AT ziqiangtang inverseparameteridentificationforhyperelasticmodelofapolyurea
AT xiangfuhong inverseparameteridentificationforhyperelasticmodelofapolyurea