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pure and applied geophysics

, Volume 86, Issue 1, pp 18–27 | Cite as

Generation of waves in an infinite space due to an explosion at the centre of cavity

  • P. R. Sengupta
  • Ramgopal Roy
Article
  • 19 Downloads

Summary

The object of this paper is to investigate the propagation of elastic waves in an infinite elastic space due to an explosion at the centre of a spherical cavity. The explosion takes place accompanied by thermal change due to which it is assumed that the material nearer to the cavity differs from that away from the same. It is also assumed that the explosion causes:
  1. i)

    a periodic force -σ rr =p(t)=p0e iwt on the surface of the cavity.

     
  2. ii)

    an impulsive force -σ rr =p(t)=p0H(t) on the surface of the cavity,H(t) being Heaviside unit function.

     

Keywords

Elastic Wave Unit Function Spherical Cavity Thermal Change Periodic Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    J. A. Sharp, Geophysics7 (1942).Google Scholar
  2. [2]
    W. Nowacki,Dynamics of elastic system (Chapman and Hall Ltd., London 1963), 288.Google Scholar
  3. [3]
    A. G. Hopkins,Dynamic expansion of spherical cavities in metals (North Holland Publishing Company, Amsterdam 1960), 85.Google Scholar
  4. [4]
    Carslaw andJaeger,Operational methods in applied mathematics (Dover 1941), 76.Google Scholar

Copyright information

© Birkhäuser Verlag 1971

Authors and Affiliations

  • P. R. Sengupta
    • 1
  • Ramgopal Roy
    • 2
  1. 1.Dept. of MathematicsKalyani UniversityKalyani, NadiaIndia
  2. 2.Krishnagar College of CommerceKrishnagar, NadiaIndia

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