On transient waves in linear viscoelasticity

Abstract

The aim of this paper is to present a comprehensive review of method of the wave-front expansion, also known in the literature as the Buchen-Mainardi algorithm. In particular, many applications of this technique to the fundamental models of both ordinary and fractional linear viscoelasticity are thoroughly presented and discussed.

29 pages, 12 figures

References in corpus (4)

• Analytical properties and applications of the Wright function
• Prabhakar-like fractional viscoelasticity
• On infinite order differential operators in fractional viscoelasticity
• On the propagation of transient waves in a viscoelastic Bessel medium

Cited by in corpus (10)

• A practical guide to Prabhakar fractional calculus
• Prabhakar-like fractional viscoelasticity
• On the propagation of transient waves in a viscoelastic Bessel medium
• Storage and dissipation of energy in Prabhakar viscoelasticity
• Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation
• Distributed order fractional constitutive stress-strain relation in wave propagation modeling
• Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
• Fractional Burgers wave equation
• Fractional Burgers wave equation on a finite domain
• Pulse waves in the viscoelastic Kelvin-Voigt model: a revisited approach