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

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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)=p 0 e iwt on the surface of the cavity.

  2. ii)

    an impulsive force -σ rr =p(t)=p 0 H (t) on the surface of the cavity,H(t) being Heaviside unit function.

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References

  1. J. A. Sharp, Geophysics7 (1942).

  2. W. Nowacki,Dynamics of elastic system (Chapman and Hall Ltd., London 1963), 288.

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  3. A. G. Hopkins,Dynamic expansion of spherical cavities in metals (North Holland Publishing Company, Amsterdam 1960), 85.

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  4. Carslaw andJaeger,Operational methods in applied mathematics (Dover 1941), 76.

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Authors and Affiliations

  1. Dept. of Mathematics, Kalyani University, Kalyani, Nadia, W.B., India

    P. R. Sengupta

  2. Krishnagar College of Commerce, Krishnagar, Nadia, W.B., India

    Ramgopal Roy

Authors
  1. P. R. Sengupta
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  2. Ramgopal Roy
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Sengupta, P.R., Roy, R. Generation of waves in an infinite space due to an explosion at the centre of cavity. PAGEOPH 86, 18–27 (1971). https://doi.org/10.1007/BF00875070

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  • DOI: https://doi.org/10.1007/BF00875070

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