文章摘要
炭黑填充天然橡胶超弹性本构方程的适用性分析
Applicability Analysis of Superelastic Constitutive Equation of Carbon Black Filled NR
投稿时间：2020-07-14  修订日期：2020-07-14
DOI：10.12136/j.issn.1000-890X.2021.07.0491
中文关键词: 本构方程  超弹性  天然橡胶  永久变形  计算精度  有限元分析
英文关键词: constitutive equation  superelastic  NR  permanent deformation  calculation accuracy  finite element analysis
基金项目:
作者单位E-mail
王新宇 北京化工大学 有机无机复合材料国家重点试验室 2018210283@mail.buct.edu.cn 
岳冬梅 北京化工大学 有机无机复合材料国家重点试验室  
杨海波* 北京化工大学 有机无机复合材料国家重点试验室 yanghb@mail.buct.edu.cn 
张立群 北京化工大学 有机无机复合材料国家重点试验室  
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中文摘要:
      为分析复杂应力条件下超弹性本构方程的适用性，以炭黑填充天然橡胶（NR）的短粗三点弯曲压缩试样（简称三点弯曲试样）作为研究对象，采用Abaqus有限元软件建立与试验过程相符的有限元模型，分析在有/无永久变形条件下试样力与位移的关系，并与试验数据进行对比，判断不同本构方程的计算精度。结果表明：在同时输入材料单轴拉伸、平面拉伸以及等双轴拉伸试验应力-应变数据时，不同本构方程对在有/无永久变形条件下三点弯曲试样力的计算精度不同；Arruda Boyce、Marlow、一至二阶Polynomial、一至三阶Ogden和一至二阶Reduced polynomial方程对有永久变形试样的计算精度高于无永久变形试样的计算精度；Van Der Waals、四至六阶Ogden和三至六阶Reduced Polynomial方程在大位移下有永久变形试样的计算精度低于无永久变形试样的计算精度。
英文摘要:
      In order to analyze the applicability of the hyperelastic constitutive equations under complex stress conditions，a short and thick three point bending compression specimen of carbon black filled natural rubber（NR）（referred to as three point bending sample） was used as the research object，the finite element model consistent with the test process was established by using Abaqus finite element software, the relationship between the force and displacement of the samples with or without permanent deformation was analyzed，and the calculation accuracy of different constitutive equations was evaluated by comparing with the experimental data.The results showed that when the experimental stress-strain data of uniaxial tensile，planar tensile and equibiaxial tensile were simultaneously input，the calculation accuracy of the three point bending samples with or without the permanent deformation obtained by various constitutive equations was different.The calculation accuracy of Arruda Boyce，Marlow，first to second order Polynomial，first to third order Ogden and first to second order Reduced Polynomial equations for samples with permanent deformation was higher than that without permanent deformation，and the calculation accuracy of Van Der Waals，fourth to sixth order Ogden and third to sixth order Reduced Polynomial equations for samples with permanent deformation under large displacement was lower than that without permanent deformation.
Author NameAffiliationE-mail
WANG Xinyu Beijing University of Chemical Technology 2018210283@mail.buct.edu.cn 
YUE Dongmei Beijing University of Chemical Technology  
YANG Haibo Beijing University of Chemical Technology yanghb@mail.buct.edu.cn 
ZHANG Liqun Beijing University of Chemical Technology  
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