A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic models
Classical Physics
2024-11-27 v1
Abstract
We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this comparison to derive new analytical expressions for the relaxation spectrum in the Becker and Lomnitz models, as well as novel integral representations for the retardation and relaxation spectra in the Lambert model.
Cite
@article{arxiv.2411.17025,
title = {A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic models},
author = {Juan Luis Gonzales Santander and Francesco Mainardi},
journal= {arXiv preprint arXiv:2411.17025},
year = {2024}
}
Comments
20 pages, 5 figures