On the Four-Element Model of Polymer Viscoelasticity

Zheng-ping FANG

doi:10.14028/j.cnki.1003-3726.2018.12.009

您当前的位置：

首页 >

文章列表页 >

On the Four-Element Model of Polymer Viscoelasticity

更新时间：2022-09-05

- On the Four-Element Model of Polymer Viscoelasticity
- Polymer Bulletin Vol. 31, Issue 12, Pages: 63-69(2018)
- 作者机构：
  
  浙江大学宁波理工学院高分子材料与工程研究所，宁波　315100
- 作者简介：
- 基金信息：
- DOI：10.14028/j.cnki.1003-3726.2018.12.009
  CLC：
- Published：20 December 2018，
  
  Received：15 March 2018，
  
  Revised：06 July 2018，
扫描看全文
Zheng-ping FANG. On the Four-Element Model of Polymer Viscoelasticity. [J]. Polymer Bulletin 31(12):63-69(2018)
DOI：

Zheng-ping FANG. On the Four-Element Model of Polymer Viscoelasticity. [J]. Polymer Bulletin 31(12):63-69(2018) DOI： 10.14028/j.cnki.1003-3726.2018.12.009.

摘要

聚合物黏弹行为可以用理想弹簧和理想黏壶以不同方式组合起来的力学模型模拟。其中四元件模型（Burgers-Frenkel模型）是能够全面呈现非线性黏弹行为的最简单的模型。然而，目前高分子物理教学中它只被用来描述蠕变现象。本文通过求解四元件模型的运动方程，得到该模型蠕变、应力松弛和动态力学行为的数学表达式，并形象地展示了四元件模型的蠕变和应力松弛过程。结果表明，广泛用于描述蠕变的四元件模型可很好地描述聚合物的应力松弛和动态力学行为。

Abstract

Four-element model (Burgers-Frenkel model) is a convenient engineering model of viscoelastic behavior because of its relative simplicity and its fundamentally correct representation of the real behavior. However

it has only been used to describe viscoelastic behavior in creep. In this paper

the governing differential equation of the four-element model was solved by using elementary calculus. Consequently

mathematical modeling in creep

stress relaxation and dynamic mechanical behavior is performed. The four-element model widely used to describe creep can now be used to predict the stress relaxation and dynamic mechanical behavior of a viscoelastic material.

关键词

黏弹性蠕变应力松弛动态力学行为四元件模型

Keywords

ViscoelasticityCreepStress relaxationDynamic mechanical behaviorFour-element model

references

更多指标>

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Comparison of Stress Relaxation Prediction of Silicone Rubber Foam Based on Regression Analysis Model and Stochastic Process Models

Solution Properties of Hydrophobic Associating Copolymer through Inverse Microemulsion

Research Progress on Constitutive Model of Filled Rubber

Some Essential Issues Not to be Ignored in Applying the Viscoelastic Mechanical Models of Polymers(Ⅱ) ——In Applying Voigt-Kelvin Model and Four-element Model to Simulate the Mechanical Relaxation Phenomena

Tribology of Plastic and its Composite Materials

Related Author

No data

Related Institution

Institute of Chemical Materials, China Academy of Engineering Physics

College of Chemisitry & Chemical Engineering, Xi'an Shiyou University

Shaanxi Key Laboratory of Chemical Additives for Industry,Shaanxi University of Science & Technology

Xianyang Chemical Branch, Xi'an Changqing Chemical Group Co.,Ltd.

Oil Production Plant No. 1,CNPC Changqing Oilfield Company

⁰