Explicit secular equations of Rayleigh waves in elastic media under the influence of gravity and initial stress

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Explicit secular equations of Rayleigh waves in elastic media under the influence of gravity and initial stress

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dc.contributor.author Vinh, P.C.
dc.date.accessioned 2011-05-09T03:03:00Z
dc.date.available 2011-05-09T03:03:00Z
dc.date.issued 2009
dc.identifier.citation Volume: 215, Issue: 1, Page : 395-404 vi
dc.identifier.issn 963003
dc.identifier.uri http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/7154
dc.description.abstract The problem of Rayleigh waves in an orthotropic elastic medium under the influence of gravity and initial stress was investigated by Abd-Alla [A. M. Abd-Alla, Propagation of Rayleigh waves in an elastic half-space of orthotropic material, Appl. Math. Comput. 99 (1999) 61-69], and the secular equation of the wave in the implicit form was derived. However, due to the uncorrect representation of the solution, the secular equation is not right. The main aim of the present paper is to reconsider this problem. We find the secular equation of the wave in explicit form. By considering some special cases, we obtain the exact explicit secular equations of Rayleigh waves under the effect of gravity of some previous studies, in which only implicit secular equations were derived. ?? 2009 Elsevier Inc. All rights reserved. vi
dc.language.iso vi vi
dc.publisher Applied Mathematics and Computation vi
dc.subject Gravity vi
dc.subject Initial stress vi
dc.subject Orthotropic vi
dc.subject Rayleigh wave velocity vi
dc.subject Secular equation vi
dc.subject Acoustic wave velocity vi
dc.subject Rayleigh waves vi
dc.subject Fluid dynamics vi
dc.title Explicit secular equations of Rayleigh waves in elastic media under the influence of gravity and initial stress vi
dc.type Article vi

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