Fractional-order Modeling of Linear Viscoelastic Creep in Hami Melon

Abstract: This paper describes our experimental testing of linear viscoelastic creep behaviors in Hami Melon. Experimental data shows that Hami Melon has complex viscoelastic property which can not be well described by the standard model. Consequently, this study develops a fractional derivative model to describe such complex viscoelastic creep behaviors of Hami Melon. The analytical creep function of the proposed fractional linear viscoelastic models is derived via the Boltzmann superposition principle and discrete inverse Laplace transform. And then such analytical solutions are used to fit the experimental data of viscoelastic Hami Melon. Our study shows that the present fractional linear viscoelastic model with merely three parameters is more efficient and accurate than the generalized Kelvin viscoelastic model of six parameters to describe the stress—strain constitutive relations of Hami Melon. It is noted that the present fractional model with adjustable parameters can also be used to describe creep damage