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arXiv · 2411.17025

A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic models

Juan Luis Gonzales Santander·Francesco Mainardi
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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.

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Juan Luis Gonzales Santander, Francesco Mainardi. 2024-11-07. A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic models. https://doi.org/10.3390/math12213426

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