Propagation of axisymmetric waves in an elastic half-space containing a cylindrical inclusion. Part II: Analysis of singularities, behavior at wave fronts and numerical results

R. Parnes*, E. R. Johnson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In the preceding paper (Part I), the general solution for the response of an elastic half-space containing a rigid-lubricated inclusion and subjected to a dynamically applied circular line load at the plane surface has been obtained. The resulting P-, S- and Rayleigh surface waves which propagate along the plane surface are identified from the discontinuities and poles of the solution. In the present paper (Part II), the behavior and jump discontinuities in the vicinity of the wave fronts are analyzed and the surface behavior under the applied load is determined. The surface displacements are evaluated numerically for various parameter values. Finally, the long-time solution is seen to approach the corresponding static solution.

Original languageEnglish
Pages (from-to)255-268
Number of pages14
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume30
Issue number3
DOIs
StatePublished - Aug 1977

Fingerprint

Dive into the research topics of 'Propagation of axisymmetric waves in an elastic half-space containing a cylindrical inclusion. Part II: Analysis of singularities, behavior at wave fronts and numerical results'. Together they form a unique fingerprint.

Cite this