Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102810 | Physica A: Statistical Mechanics and its Applications | 2017 | 28 Pages |
Abstract
This work considers an extension of the fractional-order Maxwell arrangement to incorporate a relaxation process with non-Newtonian viscosity behavior. The resulting model becomes a fractional-order nonlinear differential equation with stable solution converging asymptotically to a unique equilibrium point. Expressions for the corresponding storage and loss moduli as function of strain frequency and amplitude are computed via a first-harmonic analysis of the differential equation. Some distinctive features and their relationship to the classical and fractional-order linear Maxwell models are discussed. Three examples are used to illustrate the ability of the fractional-order Maxwell model to describe experimental data.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Y. Carrera, G. Avila-de la Rosa, E.J. Vernon-Carter, J. Alvarez-Ramirez,