Response of an elastic solid to nonuniformly expanding surface loads

https://doi.org/10.1016/0020-7225(79)90024-7Get rights and content

Abstract

Exact expressions are obtained for the displacement field in a homogeneous isotropic elastic half space whose surface is subjected to a unit normal pressure. The load emanates from a point and expands nonuniformly and radially outwards. The displacement field is obtained in the form of triple integrals over finite ranges. Both accelerating and decelerating loads have been considered. Wave front surfaces with their regions of existence have been identified. First motion approximations near different wave arrivals have been obtained by a limiting process and do not involve any integration.

References (17)

  • C. Atkinson

    Int. J. Engng Sci.

    (1968)
  • A. Roy

    Int. J. Solids Structures

    (1978)
  • A. Roy

    Int. J. Engng Sci.

    (1975)
  • R.M. Blowers

    J. Inst. Maths. Applies.

    (1969)
  • D.C. Gakenheimer

    J. Appl. Mech.

    (1971)
  • K.J. Tong
  • A. Roy

    Ind. J. Pure Appl. Math.

    (1974)
  • J.W. Miles

    J. Appl. Mech.

    (1960)
There are more references available in the full text version of this article.
View full text