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

Changqing Fang | Zendy; Hui Sun | Zendy; Jianping Gu | Zendy

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

Author(s) -

Changqing Fang,

Hui Sun,

Jianping Gu

Publication year - 2015

Publication title -

journal of mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.27

H-Index - 23

eISSN - 1811-8216

pISSN - 1727-7191

DOI - 10.1017/jmech.2015.82

Subject(s) - isothermal process , zener diode , amorphous solid , fractional calculus , standard linear solid model , nonlinear system , integer (computer science) , order (exchange) , mathematics , materials science , computer science , thermodynamics , physics , composite material , voltage , chemistry , crystallography , quantum mechanics , finance , resistor , viscoelasticity , programming language , economics

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.

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