Propagation of axisymmetric waves in an elastic half-space containing a cylindrical inclusion. Part I: Formulation and general integral solution

E. R. Johnson, R. Parnes

Research output: Contribution to journalArticlepeer-review

Abstract

The dynamic response of a linear elastic half-space containing a rigid-lubricated cylindrical inclusion is considered for an axisymmetric normal circular line load which is suddenly applied on the plane surface. In the present paper (Part I), the general solution is obtained by means of integral transform techniques. It is shown that the response on the plane boundary can then be expressed in terms of finite integrals as well as elliptic integrals. The finite integrals are observed to contain discrete points of discontinuity which can be associated with direct and reflected P- and S-waves propagating along the surface, in addition to the Rayleigh waves. In a subsequent paper (Part II), the discontinuities of the integral solutions are examined and the singularities and solutions at the wave fronts are analyzed.

Original languageEnglish
Pages (from-to)235-253
Number of pages19
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume30
Issue number3
DOIs
StatePublished - Aug 1977

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