高等学校化学学报

高等学校化学学报

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分数Maxwell模型应用于PTFE松弛模量的研究

陈艳1, 陈宏善1,2, 康永刚1   

    1. 西北师范大学物理与电子工程学院;
    2. 甘肃省高分子材料重点实验室, 兰州 730070
  • 收稿日期:2005-11-15 修回日期:1900-01-01 出版日期:2006-11-10 发布日期:2006-11-10
  • 通讯作者: 陈宏善

Relaxation Modulus of PTFE Studied by Fractional Maxwell Model

CHEN Yan1, CHEN Hong-Shan1,2, KANG Yong-Gang1   

    1. College of Physics and Electronic Engineering,
    2. Key Laboratory of Polymer Materials of Gansu Province, Northwest Normal University, Lanzhou 730070, China
  • Received:2005-11-15 Revised:1900-01-01 Online:2006-11-10 Published:2006-11-10

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被引次数

26

摘要： 用分数Maxwell模型对聚合物PTFE(Polytetrafluoethylene)的应力松弛过程进行了研究. 分数Maxwell模型的渐近行为是确定其参数的基本依据, 但根据实验数据确定的松弛时间与渐近解成立的条件并不自恰. 通过适当选定松弛时间, 利用起始时段的实验数据确定初始松弛指数和松弛模量, 并适当优化末端松弛指数, 分数Maxwell模型可以对粘弹性应力松弛过程给出非常好的描述.

关键词: PTFE, 粘弹性, 应力松弛模量, 分数Maxwell模型

Abstract: The stress relaxation modulus of PTFE(polytetrafluorethylene) was studied by using fractional Maxwell model. The asymptotic solutions of fractional Maxwell model were assumed to be the starting point to decide the parameters(β, α, τ, E), but the relaxation time τ fitted by experimental data is in contradiction with the conditions of the asymptotic solutions. The principles for choosing the parameters were discussed. The relaxation exponent β and α (the order of the fractional derivatives) can be decided according to the relaxation behavior of the initial and terminal time respectively. Choosing the relaxation time τ properly, the modulus E can be determined by using the experimental data of the initial time. By optimiz
ing the parameters τ and α, the fractional Maxwell model can describe viscoelastic relaxation process very well. The relative error of the relaxation modulus of PTFE fitted by fractional Maxwell model is 0.64%.

Key words: PTFE, Viscoelasticity, Stress relaxation modulus, Fractional Maxwell model

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