Journal of Applied Science and Engineering

Published by Tamkang University Press

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S. Dey1 and Pijus. K. De This email address is being protected from spambots. You need JavaScript enabled to view it.

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

Download Citation: ||https://doi.org/10.6180/jase.2010.13.2.02  


ABSTRACT


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. [1]  Biot,  M.A., “ The influence of initial stress on elastic waves, J. of Appl. Phy.,Vol. 2, pp. 522 (1940).
  2. [2]  Murnaghan, S.D., “ Finite Deformation of an Elastic Solid,”  New York, NY, John  Wiley  and  Sons  (1951).
  3. [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. [4] Biot,  M.A.,  Mechanics of  Incremental  Deformations. John Wiley  and  Sons, New York (1965).
  5. [5].Chakraborty,  S.K. and  Dey, S., “ Love waves in dissipative media under gravity,” Gerlands Beitr. Geoph., Leipzic, Vol. 90, pp.521 (1981).      
  6. [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. [7]  Das, S.C. and  Dey, S.,  “Edge wave under initial stress,” Applied Scientific  Research, Natherlands., Vol.22 ,  pp.382 (1970).
  8. [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. [9]  Dey, S. and Addy, S.K., “Edge wave under biaxial initial stress,”  Gerlands Beitr. Geophysik, Leipzig., Vol. 87,  pp.147-155 (1978).
  10.  [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. [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. [12]. Achenbach,  J.D., Wave  Propagation  in  Elastic  Solids , North Holland Publishing.Co, New York (1973).
  13. [13]  Bath,  M.,  Mathematical  Aspects  of  Seismology.  Elsevier  Publishing  Co., New York (1968).
  14. [14]  Ewing , W.M. , Jardetzky, W.S. and  Press F., Elastic  waves  in  layered  media. McGraw Hill, New York  (1957).