Transient waves in viscoelastic cylindrical layered media.
type: Item
instance of: scholarly article
title: Transient waves in viscoelastic cylindrical layered media.
zbMATH Open document ID: 1058.74041
DOI: 10.1016/S0997-7538(02)01238-X
author: Ibrahim Abu Alshaikh
author: Dogan Turhan
author: Yalcin Mengi
published in: European Journal of Mechanics. A. Solids
publication date: 2003-04-02T00:00:00Z
review text: The authors set up the problem of transient wave propagation in layered cylindrical medium in the presence of relaxation terms modeling viscoelastic effects. The stress distribution on the most inner surface is prescribed, while the most outer surface is assumed to be either fixed or stress-free. After taking the Fourier transform over the polar angle, the governing equations are written as a first-order system of PDEs which is solved using the method of characteristics. The numerical inversion of the transformed solution is the last step in obtaining the solution of the problem. The scheme is applied to a number of examples.
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74D05
zbMATH DE Number: 1891137
zbMATH Keywords: Fourier transform
zbMATH Keywords: method of characteristics
reviewed by: F. D. Zaman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891137