Current issue
Special issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Funding/Grants
Editorial Policies
Authorship & COI
Ethical principles
Special Issues Editorial and Peer Review Policy
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Review process
Review sheet
How to submit
ORIGINAL PAPER
Propagation of SH waves in an regular non homogeneous monoclinic crustal layer lying over a non-homogeneous semi-infinite medium
1
Govt. Polytechnic, Faculty of Science, Jalandhar, INDIA
2
Sant Baba Bhag Singh University, Faculty of Science, Jalandhar, INDIA
Online publication date: 2016-05-28
Publication date: 2016-05-01
International Journal of Applied Mechanics and Engineering 2016;21(2):447-459
KEYWORDS
ABSTRACT
The present paper discusses the dispersion equation for SH waves in a non-homogeneous monoclinic layer over a semi infinite isotropic medium. The wave velocity equation has been obtained. In the isotropic case, when non-homogeneity is absent, the dispersion equation reduces to the standard SH wave equation. The dispersion curves are depicted by means of graphs for different values of non-homogeneity parameters for the layer and semi-infinite medium.
FUNDING
This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.
CONFLICT OF INTEREST
The authors declare that they have no conflict of interest.
DATA AVAILABILITY
All data generated or analysed during this study are included in this published article.
REFERENCES (22)
1.
Stoneley R. (1924): Elastic waves at the surface of separation of two solids. – Proc. R. Soc. A 806. pp.416-428.
3.
Ewing W.M., Jardetzky W.S. and Press F. (1957): Elastic waves in layered media. – New York: McGraw-Hill.
4.
Hunter S.C. (1970): Viscoelastic waves, Progress in Solid Mechanics, I. - (ed: Sneddon IN and Hill R) Cambridge University Press.
6.
Sezawa K. (1927): Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces. – Bull. Earthq. Res. Inst. Tokyo, 3. pp.1-18.
7.
Thomson W. (1950): Transmission of elastic waves through a stratified solid medium. – J. Appl. Phys., vol.21, pp.89–93.
8.
Haskell N.A. (1953): The dispersion of surface waves in multilayered media. – Bull. Seis. Soc. Amer., vol.43, pp.17-34.
10.
Sinha N. (1967): Propagation of Love waves in a non-homogeneous stratum of finite depth sandwiched between two semi-infinite isotropic media. – Pure Applied Geophysics, vol.67. pp.65-70.
11.
Roy P.P. (1984): Wave propagation in a thin two layered medium with stress couples under initial stresses. – Acta Mechanics, vol.54, pp.1-21.
12.
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.
13.
Chattopadhyay A., Chakraborty M. and Pal A.K. (1983): Effects of irregularity on the propagation of guided SH waves. – Jr. de Mecanique Theo. et appl, vol.2, No.2. pp.215-225.
14.
Goda M.A. (1992): The effect of inhomogeneity and anisotropy on Stoneley waves. – Acta Mech., vol.93, No.1-4. pp.89-98.
15.
Gupta S., Vishwakarma S.K., Majhi D.K. and Kundu S. (2012): Influence of linearly varying density and rigidity on torsional waves in inhomogeneous crustal layer. – Appl. Math. Mech.-Engl. Ed., vol.33, No.10, pp.1239-1252.
16.
Chattopadhyay A., Gupta S., Singh A.K. and Sahu S.A. (2009): Propagation of shear waves in an irregular magnetoelastic monoclinic layer sandwiched between two isotropic half-spaces. – International Journal of Engineering, Science and Technology, vol.1, No.1, pp.228–244.
17.
Chattopadhyay A., Gupta S., Sahu S.A. and Singh A.K. (2010): Dispersion of shear waves in an irregular magnetoelastic self-reinforced layer sandwiched between two isotropic half-spaces. – International Journal of Theoretical and Applied Mechanics, vol.5, No.1, pp.27-45.
18.
Chattopadhyay A., Gupta S., Singh A.K. and Sahu S.A. (2010): Propagation of SH waves in an irregular non-homogeneous monoclinic crustal layer over a semi-infinite monoclinic medium. – Applied Mathematical Sciences, vol.4, No.44, pp.2157-2170.
19.
Sethi M., Gupta K.C., Rani M. and Vasudeva A. (2013): Surface waves in homogeneous viscoelastic media of higher order under the influence of surface stresses. – J. Mech. Behav. Mater., vol.22, No.5-6, pp.185–191.
20.
Graff K.F. (1991): Wave Motion Elastic Solids. (Oxford Engineering Science Series), Dover Publications, New ed.
21.
Gubbins D. (1990): Seismology and Plate Tectonics. – Cambridge: Cambridge University Press.
22.
Tierstein H.F. (1969): Linear Piezoelectric Plate Vibrations. – New York: Plenum Press.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
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.
