Wave splitting in linear viscoelasticity
type: Item
instance of: scholarly article
title: Wave splitting in linear viscoelasticity
zbMATH Open document ID: 0961.74033
DOI: 10.1016/S0997-7538(99)00137-0
author: Yanyan Li
published in: European Journal of Mechanics. A. Solids
publication date: 2001-05-29T00:00:00Z
review text: The wave splitting (i.e. the decomposition of field into forward and backward propagating modes) is well known in electromagnetism where general solutions for the field were found. In linear viscoelasticity this problem is more complex due to nonstandard relationships describing dissipative effects. Here the author discusses the wave splitting in the case when the dissipativity is represented by a single Maxwell element, and in the case when there are several connections of a Maxwell element and a Kelvin element. Time-dependents solutions are obtained by the use of Laplace transform. Finally, the author derives expressions for reflection and transmission coefficients.
Mathematics Subject Classification ID: 74J05
Mathematics Subject Classification ID: 74D05
zbMATH DE Number: 1358030
zbMATH Keywords: connection of Maxwell and Kelvin elements
zbMATH Keywords: reflection coefficient
zbMATH Keywords: transmission coefficient
zbMATH Keywords: wave splitting
zbMATH Keywords: linear viscoelasticity
zbMATH Keywords: dissipativity
zbMATH Keywords: Maxwell element
zbMATH Keywords: Laplace transform
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
Wikidata QID: Q127633204
full work available at URL: s0997-7538(99)00137-0
OpenAlex ID: W2079051116
description: scientific article; zbMATH DE number 1358030