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Neefjes Parnell Gower Pinfield 2022 rspa.2022.0193.pdf (1.22 MB)

A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation

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posted on 2022-10-25, 10:27 authored by Erik García Neefjes, David Nigro, Artur L Gower, Raphaël C Assier, Valerie PinfieldValerie Pinfield, William J Parnell
We present a unified framework for the study of wave propagation in homogeneous linear thermo-visco-elastic (TVE) continua, starting from conservation laws. In free-space such media admit two thermo-compressional modes and a shear mode. We provide asymptotic approximations to the corresponding wavenumbers which facilitate the understanding of dispersion of these modes, and consider common solids and fluids as well as soft materials where creep compliance and stress relaxation are important. We further illustrate how commonly used simpler acoustic/elastic dissipative theories can be derived via particular limits of this framework. Consequently, our framework allows us to: (i) simultaneously model interfaces involving both fluids and solids and (ii) easily quantify the influence of thermal or viscous losses in a given configuration of interest. As an example, the general framework is appliedto the canonical problem of scattering from an interface between two TVE half spaces in perfect contact. To illustrate, we provide results for fluid-solid interfaces involving air, water, steel and rubber, paying particular attention to the effects of stress relaxation.

Funding

Ultrasonic propagation in complex media: correlated spatial distributions and multiple dispersed phases

Engineering and Physical Sciences Research Council

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History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering

Published in

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volume

478

Issue

2265

Publisher

Royal Society

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by the Royal Society under the Creative Commons Attribution 4.0 International Licence (CC BY). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

2022-08-16

Publication date

2022-09-21

Copyright date

2022

ISSN

1364-5021

eISSN

1471-2946

Language

  • en

Depositor

Dr Valerie Pinfield. Deposit date: 25 October 2022

Article number

20220193

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