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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W. W. Garvin, Proc. Roy. Soc. (London) [A]234 (1956), 528.
L. Gilbert andL. Knopoff, J. Acoust. Soc. Am.31, No. 9 (1959), 1161.
L. Knopoff, J. Appl. Phys.29 (1958), 661.
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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DOI: https://doi.org/10.1007/BF00880194