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A Fractional Calculus Approach to the Prediction of Free Recovery Behaviors of Amorphous Shape Memory Polymers

Published online by Cambridge University Press:  27 October 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 (hysun@nuaa.edu.cn)
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Abstract

A fractional model generalized from the Zener model is proposed for the prediction of temperature-dependent free recovery behaviors of amorphous shape memory polymers (SMPs). This model differs from the Zener model in that it involves nonlinear differential equations of fractional, not integer, order. The theoretical solution based on this fractional model is utilized to simulate the isothermal and nonisothermal free recovery of an amorphous SMP compared with the one based on the Zener model. The results show a reasonable improvement in the prediction of the strain recovery response of SMP by the fractional calculus method.

Keywords

Shape memory polymersFractional calculusConstitutive modelFree recovery
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 1 , February 2016 , pp. 11 - 17
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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