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Disturbance produced in an elastic half-space by impulsive normal pressure

Summary

The displacement produced in the half-space by uniform impulsive pressure acting over a circular portion of the surface has been obtained in terms of definite integrals. FollowingCagniard andGarvin, the displacement at an interior point on the axis of symmetry has been calculated. The approximate displacement at points far off from the axis of symmetry has been obtained by using saddle point method and Tauberian limit theorem.

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References

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    L. Cagniard,Réflection et réfraction des ondes seismiques progressives (Paris 1939), Chap. V.

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    W. W. Garvin, Proc. Roy. Soc. (London) [A]234 (1956), 528.

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    L. Gilbert andL. Knopoff, J. Acoust. Soc. Am.31, No. 9 (1959), 1161.

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    H. Nakano, Jap. J. Astron. Geophys.2 (1925), 233.

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Ghosh, S.C. Disturbance produced in an elastic half-space by impulsive normal pressure. PAGEOPH 80, 71–83 (1970). https://doi.org/10.1007/BF00880194

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Keywords

  • Saddle Point
  • Limit Theorem
  • Interior Point
  • Normal Pressure
  • Point Method