Applications of fractional constitutive models for finite deformation to viscoelastic materials

In a previous paper several fractional derivative models for finite deformation of viscoelastic materials are proposed (Journal of Vibration and Control, vol. 20, 1033-1041, 2014). In this paper these models are applied to three types of materials to evaluate the responses subjected to impulsive forces. It is found that the constitutive equations of the models derived from the cylindrical shape of affine deformation, which is valid for small lateral deformation, are also valid for large lateral deformations (the barrel form deformation), if a proper correction is made for the material constants.