Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model

Rubber-based materials are widely used in a variety of industrial applications. In these applications, rubber components withstand various loading conditions over a range of temperatures. It is of great significance to study the mechanical behavior of vulcanized rubber at different temperatures, esp...

Full description

Bibliographic Details
Main Authors: Xintao Fu, Zepeng Wang, Lianxiang Ma, Zhaoxuan Zou, Qingling Zhang, Xinxin Guan
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/12/4/932
_version_ 1797570384386588672
author Xintao Fu
Zepeng Wang
Lianxiang Ma
Zhaoxuan Zou
Qingling Zhang
Xinxin Guan
author_facet Xintao Fu
Zepeng Wang
Lianxiang Ma
Zhaoxuan Zou
Qingling Zhang
Xinxin Guan
author_sort Xintao Fu
collection DOAJ
description Rubber-based materials are widely used in a variety of industrial applications. In these applications, rubber components withstand various loading conditions over a range of temperatures. It is of great significance to study the mechanical behavior of vulcanized rubber at different temperatures, especially in a range of high temperatures. The temperature dependence of the constitutive behavior of filled rubber is important for the performance of the rubber. However, only a few constitutive models have been reported that investigate the stress–temperature relationship. In this paper, based on an analysis of experimental data, the effects of temperature on the hyperelastic behaviors of both natural rubber and filled rubber, with different mass fractions of carbon black, were studied. The regulation of stress and strain of natural rubber and filled rubber with temperature was revealed. In addition, an eight-chain model that can reasonably characterize the experimental data at different temperatures was proved. An explicit temperature-dependent constitutive model was developed based on the Arruda-Boyce model to describe the stress–strain response of filled rubber in a relatively large temperature range. Meanwhile, it was proved that the model can predict the effect of temperature on the hyperelastic behavior of filled rubber. Finally, the improved Arruda-Boyce model was used to obtain the material parameters and was then successfully applied to finite element analysis (FEA), which showed that the model has high application value. In addition, the model had a simple form and could be conveniently applied in related performance test of actual production or finite element analysis.
first_indexed 2024-03-10T20:23:59Z
format Article
id doaj.art-33a9f4900fd749f4a5138cb879145243
institution Directory Open Access Journal
issn 2073-4360
language English
last_indexed 2024-03-10T20:23:59Z
publishDate 2020-04-01
publisher MDPI AG
record_format Article
series Polymers
spelling doaj.art-33a9f4900fd749f4a5138cb8791452432023-11-19T21:55:19ZengMDPI AGPolymers2073-43602020-04-0112493210.3390/polym12040932Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain ModelXintao Fu0Zepeng Wang1Lianxiang Ma2Zhaoxuan Zou3Qingling Zhang4Xinxin Guan5College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaRubber-based materials are widely used in a variety of industrial applications. In these applications, rubber components withstand various loading conditions over a range of temperatures. It is of great significance to study the mechanical behavior of vulcanized rubber at different temperatures, especially in a range of high temperatures. The temperature dependence of the constitutive behavior of filled rubber is important for the performance of the rubber. However, only a few constitutive models have been reported that investigate the stress–temperature relationship. In this paper, based on an analysis of experimental data, the effects of temperature on the hyperelastic behaviors of both natural rubber and filled rubber, with different mass fractions of carbon black, were studied. The regulation of stress and strain of natural rubber and filled rubber with temperature was revealed. In addition, an eight-chain model that can reasonably characterize the experimental data at different temperatures was proved. An explicit temperature-dependent constitutive model was developed based on the Arruda-Boyce model to describe the stress–strain response of filled rubber in a relatively large temperature range. Meanwhile, it was proved that the model can predict the effect of temperature on the hyperelastic behavior of filled rubber. Finally, the improved Arruda-Boyce model was used to obtain the material parameters and was then successfully applied to finite element analysis (FEA), which showed that the model has high application value. In addition, the model had a simple form and could be conveniently applied in related performance test of actual production or finite element analysis.https://www.mdpi.com/2073-4360/12/4/932filled rubbertemperature-dependenteight-chain modelhyperelasticityfinite element analysis (FEA)
spellingShingle Xintao Fu
Zepeng Wang
Lianxiang Ma
Zhaoxuan Zou
Qingling Zhang
Xinxin Guan
Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model
Polymers
filled rubber
temperature-dependent
eight-chain model
hyperelasticity
finite element analysis (FEA)
title Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model
title_full Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model
title_fullStr Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model
title_full_unstemmed Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model
title_short Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model
title_sort temperature dependence of rubber hyperelasticity based on the eight chain model
topic filled rubber
temperature-dependent
eight-chain model
hyperelasticity
finite element analysis (FEA)
url https://www.mdpi.com/2073-4360/12/4/932
work_keys_str_mv AT xintaofu temperaturedependenceofrubberhyperelasticitybasedontheeightchainmodel
AT zepengwang temperaturedependenceofrubberhyperelasticitybasedontheeightchainmodel
AT lianxiangma temperaturedependenceofrubberhyperelasticitybasedontheeightchainmodel
AT zhaoxuanzou temperaturedependenceofrubberhyperelasticitybasedontheeightchainmodel
AT qinglingzhang temperaturedependenceofrubberhyperelasticitybasedontheeightchainmodel
AT xinxinguan temperaturedependenceofrubberhyperelasticitybasedontheeightchainmodel