Dynamic surface stresses on an elastic half-space containing a cylindrical inclusion

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Abstract

Surface stresses on a linear elastic half-space containing a rigid-lubricated cylindrical inclusion are determined due to the sudden application of an axisymmetric circular line load normal to the free surface. The solution is obtained by means of integral transform techniques. From the resulting inversion, direct and reflected P-, S- and R-waves which propagate along the surface are identified from discrete discontinuities and poles of the solution. It is found that the direct waves may be expressed in terms of elliptic integrals. Jumps at the wave front, as well as singularities under the load, are evaluated. The solution is seen to approach the corresponding static solution at long times.

Original languageEnglish
Pages (from-to)167-178
Number of pages12
JournalJournal of Sound and Vibration
Volume58
Issue number2
DOIs
StatePublished - 22 May 1978

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