Fractional Calculus Approach to Relaxation Behavior of Amorphous Shape Memory Polymers
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.
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