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Modeling the viscoelasticity of polyetherimide
Author(s) -
Wu Qi,
Ogasawara Tomotaka,
Yoshikawa Nobuhiro,
Zhai Hongzhou
Publication year - 2018
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.46102
Subject(s) - polyetherimide , viscoelasticity , materials science , activation energy , modulus , relaxation (psychology) , arrhenius equation , nonlinear system , laplace transform , stress relaxation , composite material , thermodynamics , polymer , creep , mathematical analysis , mathematics , chemistry , physics , psychology , social psychology , quantum mechanics
Viscoelasticity is a mechanical phenomenon where the material modulus varies with time and temperature. Modern experimental methods can determine material properties within certain time and temperature ranges, but modeling the viscoelastic behavior remains challenging, mainly because the data processing is complex and different materials have distinct properties. Using polyetherimide as an example and based on the change in the secondary bonds of polyetherimide in different viscoelastic stages, we proposed a new shift factor model in Arrhenius format with alterable activation energy. We also used two methods based on nonlinear least squares to obtain the Maxwell model of the polyetherimide, and we then used a novel method integrated with Laplace transforms and partial fraction decomposition to convert the Maxwell model into the Voigt model. The results of our model are reliable and self‐consistent, showing its potential for modeling the viscoelasticity of other materials. © 2017 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2018 , 135 , 46102.