Rayleigh waves in a magnetoelastic half-space of orthotropic material under influence of initial stress and gravity field
type: Item
instance of: scholarly article
title: Rayleigh waves in a magnetoelastic half-space of orthotropic material under influence of initial stress and gravity field
zbMATH Open document ID: 1078.74018
DOI: 10.1016/S0096-3003(03)00767-7
author: A. M. Abd-Alla
author: H. A. Hammad
author: S. M. Abo-Dahab
published in: Applied Mathematics and Computation
publication date: 2004-10-01T00:00:00Z
review text: The authors derive a frequency equation which determines the velocity of generalized Rayleigh waves, including initial stress, gravity field and magnetic field, in a homogeneous orthotropic elastic medium. The frequency equation obtained is in agreement with the corresponding result obtained by \textit{Datta} [Rev. Roum. Sci. Tech., Sér. Méc. Appl. 31, 369ff (1986)], when the initial stress and magnetic field are neglected. Moreover, when the magnetic field is neglected, the present result is in agreement with the result of \textit{A. M. Abd-Alla} [Appl. Math. Comput. 99, No. 1, 61--69 (1999; Zbl 0926.74050)]. Numerical solutions of the frequency equation are discussed and presented graphically. The results indicate that the effect of orthotropy is small and can be neglected, whereas the effects of initial stress, magnetic field and gravity field are pronounced.
reviewed by: Eugeni Syrkin
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 2105576
zbMATH Keywords: frequency equations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2105576