Energy dissipation in viscoelastic Bessel media

TL;DR

This paper analyzes energy dissipation in viscoelastic Bessel media, deriving attenuation factors expressed via Kelvin functions and confirming asymptotic behaviors consistent with prior rheological studies.

Contribution

It introduces a new expression for the quality factor in Bessel models of viscoelasticity using Kelvin functions and validates asymptotic behaviors with previous findings.

Findings

Quality factor expressed in terms of Kelvin functions

Asymptotic behaviors align with previous rheological results

Provides analytical confirmation of prior studies

Abstract

We investigate the specific attenuation factor for the Bessel models of viscoelasticity. We find that the quality factor for this class can be expressed in terms of Kelvin functions and that its asymptotic behaviours confirm the analytical results found in previous studies for the rheological properties of these models.