Fractional Calculus Approach to Relaxation Behavior of Amorphous Shape Memory Polymers
Autor: | Hui Yu Sun, Chang Qing Fang, Jian Ping Gu |
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Rok vydání: | 2016 |
Předmět: |
Materials science
Series (mathematics) Mathematical analysis 02 engineering and technology 010501 environmental sciences 021001 nanoscience & nanotechnology 01 natural sciences Viscoelasticity Amorphous solid Fractional calculus Shape-memory polymer Kernel (statistics) Curve fitting Relaxation (approximation) 0210 nano-technology 0105 earth and related environmental sciences |
Zdroj: | 7th Forum on New Materials - Part A. |
ISSN: | 1662-0356 |
DOI: | 10.4028/www.scientific.net/ast.97.106 |
Popis: | 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. |
Databáze: | OpenAIRE |
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