Fractional Calculus Approach to Relaxation Behavior of Amorphous Shape Memory Polymers

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To select an appropriate relaxation kernel function is significant for shape memory polymers (SMPs) in their thermomechanical constitutive models. The relaxation modulus of SMPs are described by fractional-order viscoelastic (FOV) kernel and three other kinds of viscoelastic kernel, that is, Prony series, Kohlrausch-Williams-Watts (KWW) kernel and Cole-Cole Model (CCM) kernel. The data fitting result shows FOV kernel is a valuable tool to describe the relaxation response of SMPs. Compared with Prony series, KWW kernel and CCM kernel, the FOV kernel can give a comparative description of relaxation modulus of SMPs with fewer material parameters.

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Periodical:

Edited by:

Pietro Vincenzini

Pages:

106-111

Citation:

C. Q. Fang et al., "Fractional Calculus Approach to Relaxation Behavior of Amorphous Shape Memory Polymers", Advances in Science and Technology, Vol. 97, pp. 106-111, 2017

Online since:

October 2016

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$41.00

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DOI: https://doi.org/10.1007/s11043-014-9237-5