NONLINEAR VISCOELASTIC CONSTITUTIVE RELATIONS BASED ON THE RATE SENSITIVE RELAXATION TIME UNDER THE CONDITION OF UNIAXIAL STRESS

CHEN Jiankang; HUANG Zhuping; CHU Haijian; BAI Shulin

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NONLINEAR VISCOELASTIC CONSTITUTIVE RELATIONS BASED ON THE RATE SENSITIVE RELAXATION TIME UNDER THE CONDITION OF UNIAXIAL STRESS

Research Article | 更新时间：2021-03-19

- NONLINEAR VISCOELASTIC CONSTITUTIVE RELATIONS BASED ON THE RATE SENSITIVE RELAXATION TIME UNDER THE CONDITION OF UNIAXIAL STRESS
- Acta Polymerica Sinica Issue 3, Pages: 414-419(2003)
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- Published：20 June 2003，
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CHEN Jiankang, HUANG Zhuping, CHU Haijian, BAI Shulin. NONLINEAR VISCOELASTIC CONSTITUTIVE RELATIONS BASED ON THE RATE SENSITIVE RELAXATION TIME UNDER THE CONDITION OF UNIAXIAL STRESS. [J]. Acta Polymerica Sinica (3):414-419(2003)
DOI：

CHEN Jiankang, HUANG Zhuping, CHU Haijian, BAI Shulin. NONLINEAR VISCOELASTIC CONSTITUTIVE RELATIONS BASED ON THE RATE SENSITIVE RELAXATION TIME UNDER THE CONDITION OF UNIAXIAL STRESS. [J]. Acta Polymerica Sinica (3):414-419(2003) DOI：

摘要

基于单向拉伸实验研究和内变量理论

提出了一种新的简单的一维非线性粘弹性本构关系 .对两种粘弹性材料

即高密度聚乙烯和聚丙烯进行了不同加载速率作用下的拉伸实验研究

实验结果表明

两种材料的应力应变关系与加载速率相关 ;对材料的应力应变实验数据进行拟合发现

材料的松弛时间具有很强的应变率相关性

当应变率发生数量级变化时

材料的松弛时间也发生数量级的变化 .采用内变量理论

导出了在单轴应力条件下松弛时间率相关的非线性粘弹性本构关系的迭代形式

并给出其收敛条件 .当采取一次迭代形式时

本构关系退化为松弛时间率相关的Maxwell模型 .数值拟合的结果表明

一次迭代形式的本构关系就可以很好地拟合和预测实验结果 .

Abstract

A new simple nonlinear viscoelastic constitutive model under uniaxial tension is proposed by means of experimental method and internal-variable theory．The tension tests of two viscoelastic materials

i．e．

polypropylene (PP) and high-density polyethylene (HDPE)

are carried out at different strain rate．The experimental date shows that the relation between stress and strain depends distinctly on strain rate．The result of curve fitting for experiment data indicates that the relaxation time of the materials is rate sensitive．When strain rate changes in orders of magnitude

the value of relaxation time varies in the same order．Under the condition of uniaxial stress

a new nonlinear viscoelastic constitutive relation with iteration form is studied by adopting internal-variable theory

and the convergence condition is derived．If the degree of iteration is taken to be one

then the corresponding constitutive relation reduces to Maxwell model with rate related relaxation time．Such a nonlinear viscoelastic model can be used to fit and predict the constitutive relation of PP and HDPE perfectly．

关键词

聚丙烯高密度聚乙烯应变率本构关系非线性粘弹性松驰时间

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Related Institution

Key Laboratory for Ultrafine Materials of Ministry of Education, East China University of Science and Technology

1,2),GAO Xueqin~2,YUAN Yi~2,SHEN Kaizhi~2

四川大学高分子科学与工程学院高分子材料工程国家重点实验室

四川大学高分子科学与工程学院高分子材料工程国家重点实验室成都

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