Application of Fractional Calculus Methods to Viscoelastic Response of Amorphous Shape Memory Polymers

Constitutive models based on fractional calculus are utilized to investigate the viscoelastic response of thermally activated shape memory polymers (SMPs). Fractional calculus-based viscoelastic equations are fitted to experimental data existing in literature compared with traditional viscoelastic m...

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Bibliographic Details
Published in:Journal of mechanics 2015-08, Vol.31 (4), p.427-432
Main Authors: Fang, C-Q., Sun, H.-Y., Gu, J.-P.
Format: Article
Language:English
Subjects:
Calculus
Mathematical analysis
Mathematical models
Mechanics
Polymers
Recovery
Rheology
Shape memory
Strain
Studies
Viscoelasticity
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Summary:Constitutive models based on fractional calculus are utilized to investigate the viscoelastic response of thermally activated shape memory polymers (SMPs). Fractional calculus-based viscoelastic equations are fitted to experimental data existing in literature compared with traditional viscoelastic models. In addition, a fractional rheology model is applied to simulate the isothermal recovery of an amorphous SMP. The fit results show a significant improvement in the description of the strain recovery response of SMP by the fractional calculus method.
ISSN:1727-7191
1811-8216
DOI:10.1017/jmech.2014.98