Expressions of fractional calculus for the complex modulus and complex compliance of viscoelastic materials

Within the framework of the fractional calculus theory, the mechanism of fractal dynamics is introduced to the constitutive equation research of viscoelastic materials. The restriction of all parameters in fractional element advanced by Schiessel et al is cancelled by using generalized fractional element technique. The complex modulus and complex compliance of viscoelastic materials are studied. The solutions are extended to generalized function space, and more solutions with distinct physical meaning are obtained.