Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053283 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
In a recent paper, Zhou et al. (2017) studied the time-dependent properties of Glass Fiber Reinforced Polymers composites by employing a new rheological model with a time-dependent viscosity coefficient. This rheological model is essentially based on a generalized Scott-Blair body with a time-dependent viscosity coefficient. Motivated by this study, in this note we suggest a different generalization of the Scott-Blair model based on the application of Caputo-type fractional derivatives of a function with respect to another function. This new mathematical approach can be useful in viscoelasticity and diffusion processes in order to model systems with time-dependent features. In this paper we also provide the general solution of the creep experiment for our improved Scott-Blair model together with some explicit examples and illuminating plots.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ivano Colombaro, Roberto Garra, Andrea Giusti, Francesco Mainardi,