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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 163-171 |
| Number of pages | 9 |
| Journal | Computational Mechanics |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 15 2019 |
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics
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Variable-order fractional description of compression deformation of amorphous glassy polymers. / Meng, Ruifan; Yin, Deshun; Drapaca, Corina Stefania.
In: Computational Mechanics, Vol. 64, No. 1, 15.07.2019, p. 163-171.Research output: Contribution to journal › Article
TY - JOUR
T1 - Variable-order fractional description of compression deformation of amorphous glassy polymers
AU - Meng, Ruifan
AU - Yin, Deshun
AU - Drapaca, Corina Stefania
PY - 2019/7/15
Y1 - 2019/7/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85059467212&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85059467212&partnerID=8YFLogxK
U2 - 10.1007/s00466-018-1663-9
DO - 10.1007/s00466-018-1663-9
M3 - Article
AN - SCOPUS:85059467212
VL - 64
SP - 163
EP - 171
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 1
ER -