A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber

Uniaxial and biaxial cyclic tensile tests and stress relaxation tests were performed on the ethylene propylene diene monomer (EPDM) material to investigate its stress-softening effect. The experimental results reveal that the EPDM material presents a significant Mullins effect during the cyclic stre...

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Main Authors: Xiu Liu, Chen Liu, Dingxiang Zhu, Jianguo Lin
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/15/16/3388
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author Xiu Liu
Chen Liu
Dingxiang Zhu
Jianguo Lin
author_facet Xiu Liu
Chen Liu
Dingxiang Zhu
Jianguo Lin
author_sort Xiu Liu
collection DOAJ
description Uniaxial and biaxial cyclic tensile tests and stress relaxation tests were performed on the ethylene propylene diene monomer (EPDM) material to investigate its stress-softening effect. The experimental results reveal that the EPDM material presents a significant Mullins effect during the cyclic stretching processes. Furthermore, it is found that the deformation of the EPDM material does not return to zero simultaneously with the stress, due to the viscoelasticity of the EPDM material. Therefore, this study combines pseudo-elasticity theory and viscoelastic theory to propose a visco-hyperelastic constitutive model. The proposed model is used to fit and analyze the uniaxial and biaxial cyclic test results of EPDM and a comparison is conducted with the corresponding hyper-elastic constitutive model. The results show that the proposed model is in good agreement with the experimental data and superior to the hyper-elastic constitutive model, especially when it comes to the stress-softening unloading process. This work is conducive to accurately characterizing the stress-softening behavior of rubber-like materials at large deformation and can provide some theoretical guidance for their widespread application in industry.
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spelling doaj.art-0a8f620daea7425cbae69d61ef7e04fb2023-11-19T02:43:29ZengMDPI AGPolymers2073-43602023-08-011516338810.3390/polym15163388A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer RubberXiu Liu0Chen Liu1Dingxiang Zhu2Jianguo Lin3School of Mechanical Engineering and Mechanics, Xiangtan University, Xiangtan 411105, ChinaSchool of Civil Engineering, Xiangtan University, Xiangtan 411105, ChinaSchool of Mechanical Engineering and Mechanics, Xiangtan University, Xiangtan 411105, ChinaSchool of Materials Science and Engineering, Xiangtan University, Xiangtan 411105, ChinaUniaxial and biaxial cyclic tensile tests and stress relaxation tests were performed on the ethylene propylene diene monomer (EPDM) material to investigate its stress-softening effect. The experimental results reveal that the EPDM material presents a significant Mullins effect during the cyclic stretching processes. Furthermore, it is found that the deformation of the EPDM material does not return to zero simultaneously with the stress, due to the viscoelasticity of the EPDM material. Therefore, this study combines pseudo-elasticity theory and viscoelastic theory to propose a visco-hyperelastic constitutive model. The proposed model is used to fit and analyze the uniaxial and biaxial cyclic test results of EPDM and a comparison is conducted with the corresponding hyper-elastic constitutive model. The results show that the proposed model is in good agreement with the experimental data and superior to the hyper-elastic constitutive model, especially when it comes to the stress-softening unloading process. This work is conducive to accurately characterizing the stress-softening behavior of rubber-like materials at large deformation and can provide some theoretical guidance for their widespread application in industry.https://www.mdpi.com/2073-4360/15/16/3388stress-softening effectvisco-hyperelastic constitutive modelbiaxial stretchingpseudo-elastic modelstress relaxation
spellingShingle Xiu Liu
Chen Liu
Dingxiang Zhu
Jianguo Lin
A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber
Polymers
stress-softening effect
visco-hyperelastic constitutive model
biaxial stretching
pseudo-elastic model
stress relaxation
title A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber
title_full A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber
title_fullStr A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber
title_full_unstemmed A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber
title_short A Visco-Hyperelastic Constitutive Model to Characterize the Stress-Softening Behavior of Ethylene Propylene Diene Monomer Rubber
title_sort visco hyperelastic constitutive model to characterize the stress softening behavior of ethylene propylene diene monomer rubber
topic stress-softening effect
visco-hyperelastic constitutive model
biaxial stretching
pseudo-elastic model
stress relaxation
url https://www.mdpi.com/2073-4360/15/16/3388
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