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Computational Mechanics
Published in: Computational Mechanics 1/2019

02-01-2019 | Original Paper

Variable-order fractional description of compression deformation of amorphous glassy polymers

Authors: Ruifan Meng, Deshun Yin, Corina S. Drapaca

Published in: Computational Mechanics | Issue 1/2019

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Abstract

In this paper, the variable order fractional constitutive model is adopted to describe the compression deformation of amorphous glassy polymers. In order to keep the fractional order within the definition of viscoelasticity, a three-regions- fitting-method is proposed. By using this, the value of fractional order is found to be a constant in viscoelastic region, and decreases linearly in both strain softening and strain hardening regions. The corresponding mechanical property evolution revealed by fractional order is proved to be reasonable based on the molecular chains conflict theory. And a comparison study is conducted to show the advantage of using the variable order fractional model with higher accuracy and fewer parameters. It is then concluded that the variable order fractional calculus is an efficient tool to predict the compression deformation of amorphous glassy polymers.
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Metadata
Title
Variable-order fractional description of compression deformation of amorphous glassy polymers
Authors
Ruifan Meng
Deshun Yin
Corina S. Drapaca
Publication date
02-01-2019
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 1/2019
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1663-9

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