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

Published online by Cambridge University Press:  11 August 2015

C-Q. Fang ,
H.-Y. Sun  and
J.-P. Gu
C-Q. Fang
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, China
H.-Y. Sun*
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, China
J.-P. Gu
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, China Department of Materials Engineering, Nanjing Institute of Technology, Nanjing, China
*
* Corresponding author ([email protected])
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Abstract

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.

Keywords

Shape memory polymersFractional calculusViscoelasticityShape recovery
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 4 , August 2015 , pp. 427 - 432
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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