Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
Surface Waves in Fibre-Reinforced Anisotropic Solid Elastic Media under the Influence of Gravity
1
Govt. Polytechnic, Faculty of Science Hoshiarpur, INDIA
2
College of Pharmacy and Technical Education Faculty of Mathematics Sangrur, INDIA
3
Maharishi Markandeshwar University Faculty of Mathematics, Research Scholar Mullana, INDIA
Online publication date: 2013-04-19
Publication date: 2013-03-01
International Journal of Applied Mechanics and Engineering 2013;18(1):177-188
KEYWORDS
ABSTRACT
The aim of the present paper is to investigate surface waves in an anisotropic, elastic solid medium under the influence of gravity. First, a theory of generalised surface waves was developed and then it was employed to investigate particular cases of waves, viz., Stoneley and Rayleigh, Love type. The wave velocity equations were obtained for different cases and they are in well agreement with the corresponding classical result, when the effect of gravity, viscosity as well as parameters for fibre-reinforcement of the material medium are ignored.
REFERENCES (29)
1.
Abd-Alla A.M. and Ahmed S.M. (1996): Rayleigh waves in an orthotropic thermoelastic medium under gravity field and initial stress. - J. Earth, Moon Planets, vol.75, pp.185-197.
2.
Belfield A.J., Rogers T.G. and Spencer A.J.M. (1983): Stress in elastic plates reinforced by fibers lying in concentric circles. - J. Mech. Phys. Solids 31 : 25.
4.
Bland D.R. (1960): The theory of linear viscoelasticity. - (London: Pergamon)(Monograph on the subject contains many cases of stress analysis.
5.
Bromwich T.J. (1898): On the influence of gravity on elastic waves, and, in particular, on the vibrations of an elastic globe. - Proc. London Math. Soc., vol.30, pp.98-120.
6.
Brunelle E.J. (1973): Surface wave propagation under initial tension or compression. - Bull. Seismol. Soc. Am. 63. pp.1895-1899.
8.
Chattopadhyay A. and Venkateswarlu R.L.K. (1998): Stresses produced in a fibre-reinforced half-space due to a moving load. - Bull. Cal. Math. Soc., vol.90, pp.337-342.
9.
Chattopadhyay A., Gupta S., Sharma V.K. and Kumari P. (2010): Propagation of G-type seismic waves in viscoelastic medium. - Int. J. of Appl. Math. and Mech., vol.6, No.9, pp.63-75.
10.
Chattopadhyay A., Gupta S., Sharma V.K. and Kumari P. (2010): Effect of point source and heterogeneity on the propagation of SH- waves. - Int. J. of Appl. Math. and Mech., vol.6, No.9, pp.76-89.
11.
Datta B.K. (1986): Some observation on interactions of Rayleigh waves in an elastic solid medium with the gravity field. - Rev. Roumaine Sci. Tech. Ser. Mec. Appl., vol.31, pp.369-374.
12.
De S.K. and Sengupta P.R. (1974): Influence of gravity on wave propagation in an elastic layer. - J. Acoust. Soc. Am., vol.55, pp.919-921.
13.
Eringen A.C. and Sahubi E.S. (1975): Linear Theory of Elastodynamics. - New York, London: Academic Press, vol.2.
14.
Ewing W.M., Jardetzky W.S. and Press F. (1957): Elastic waves in layered media. - New York: McGraw-Hill.
16.
Goda M.A. (1992): The effect of inhomogeneity and anisotropy on Stoneley waves. - Acta Mech., vol.93, No.1-4, pp.89-98.
17.
Haskell N.A. (1953): The dispersion of surface waves in multilayered media. - Bull. Seis. Soc. Amer., vol.43, pp.17-34.
18.
Hunter S.C. (1970): Viscoelastic waves, Progress in solid mechanics, I. (ed: Sneddon IN and Hill R) Cambridge University Press.
20.
Jones J.P. (1964): Wave propagation in a two layered medium. - J. Appl. Mechanics, pp.213-222.
21.
Lamb H. (1926): On waves in elastic plate. - Proc. R. Soc.(London) A93. pp.114-128.
22.
Love A.E.H. (1965): Some Problems of Geodynamics. - London: Cambridge University Press.
23.
Paria G. (1960): Love waves in granular medium. - Bull. Calcutta. Math. Soc., vol.52, No.4, pp.195-203.
24.
Roy P.P. (1984): Wave propagation in a thinky two layered medium with stress couples under initial stresses. - Acta Mechanica, vol.54. pp.1-21.
25.
Sengupta P.R. and Acharya D. (1979): The influence of gravity on the propagation of waves in a thermoelastic layer. - Rev. Romm. Sci. Techmol. Mech. Appl., Tome 24, pp.395-406.
26.
Sezawa K. (1927): Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces. - Bull. Earthq. Res. Inst. Tokyo, vol.3, pp.1-18.
27.
Sharma J.N. and Kaur D. (2010): Rayleigh waves in rotating thermoelastic solids with voids. - Int. J. of Appl. Math. and Mech., vol.6, No.3, pp.43-61.
28.
Stoneley R. (1924): Waves at the surface of separation of two solids. - Proc. R. Soc. A 806. pp.416-428.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
