S. Dey1 and Pijus. K. De This email address is being protected from spambots. You need JavaScript enabled to view it.2
1Director, Bengal Institute of Technology and Management, Sriniketan Bypass, P.O.-Doranda, Dist. – Birbhum, Pin-731 236, WB, India 2Apaji Institute of Mathematics and Applied Computer Technology, Banasthali University, Banasthali-304022, Rajasthan, India
Received: July 21, 2008 Accepted: May 25, 2009 Publication Date: June 1, 2010
This paper deals with the propagation of channel waves in an incompressible anisotropic initially stressed plate. Attempt has been made to find out the effect of anisotropy and initial stresses on the velocity of propagation of channel waves. Some particular cases have been discussed. The numerical values of velocities of channel wave for different parameters (anisotropy and initial stresses) have been calculated and the results have been presented in a number of tables.
Keywords: Channel Wave, Initial tress, Anisotropy
REFERENCES
[1] Biot, M.A., “ The influence of initial stress on elastic waves,” J. of Appl. Phy.,Vol. 2, pp. 522 (1940).
[2] Murnaghan, S.D., “ Finite Deformation of an Elastic Solid,” New York, NY, John Wiley and Sons (1951).
[3] Dey, S. and De, P.K., “Velocity of shear waves in an initially stressed incompressible anisotropic medium,” SADHANA. Indian Academy of Sciences . Bangalore,; Vol. 24, Part 3, pp. 215-220 (1999).
[4] Biot, M.A., Mechanics of Incremental Deformations. John Wiley and Sons, New York (1965).
[5].Chakraborty, S.K. and Dey, S., “ Love waves in dissipative media under gravity,” Gerlands Beitr. Geoph., Leipzic, Vol. 90, pp.521 (1981).
[6]. Chattopadhyay, A and Kar, B.K., “On the dispersion curves of Love type waves in an initially stressed crustal layer having an irregular interface,” Geophysical Res. Bull.; Vol.16(1), pp.13 (1978)
[7] Das, S.C. and Dey, S., “Edge wave under initial stress,” Applied Scientific Research, Natherlands., Vol.22 , pp.382 (1970).
[8]. De, P.K., “Effect of Anisotropy and Initial Stresses in Seismic Wave Propagation in an Anisotropic Incompressible Medium,” M.Phil Dissertation, Department of Appl. Mathematics, Indian School of Mines, Dhanbad (1997).
[9] Dey, S. and Addy, S.K., “Edge wave under biaxial initial stress,” Gerlands Beitr. Geophysik, Leipzig., Vol. 87, pp.147-155 (1978).
[10] Dey, S. and Mukherjee, S.P., “SH waves in composite media under initial stresses,” Rev. Roum. Sci. Tech. Mech. Appl. Tome, Vol.28, No. 4, pp. 387-393 (1983).
[11] Dey, S. and De, R.K., “Love waves in a non-homogeneous anisotropic layer lying over a pre-stressed orthotropic medium,” Geophysical Res. Bull. , Vol. 22, No. 1, pp. 22 (1984)
[12]. Achenbach, J.D., Wave Propagation in Elastic Solids , North Holland Publishing.Co, New York (1973).
[13] Bath, M., Mathematical Aspects of Seismology. Elsevier Publishing Co., New York (1968).
[14] Ewing , W.M. , Jardetzky, W.S. and Press F., Elastic waves in layered media. McGraw Hill, New York (1957).
We use cookies on this website to personalize content to improve your user experience and analyze our traffic. By using this site you agree to its use of cookies.