# On transient waves in linear viscoelasticity

## TL;DR

This paper reviews the wave-front expansion method, including the Buchen-Mainardi algorithm, and discusses its applications to fundamental models of linear viscoelasticity, both ordinary and fractional.

## Contribution

It provides a comprehensive overview of the wave-front expansion technique and its application to viscoelastic models, highlighting recent developments and specific use cases.

## Key findings

- Effective application of wave-front expansion to viscoelastic models
- Extension of the Buchen-Mainardi algorithm to fractional models
- Detailed discussion of practical applications in 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.