Abstract:

A constitutive equation on viscoelastic materials with different fractional order derivatives is discussed, and its solution is obtained by using Laplace transform techniques and can be expressed in terms of H-Fox functions.The solution is consistent with the experimental data.The model behavior in the frequency domain is also discussed, the limit of the loss tangent is governed by the difference between the order of time derivatives of strain and stress.

Key words:  fractional derivative;viscoelasticity; H-Fox function