Harmonic Response of Smoothly Embedded Rigid Sphere
Publication: Journal of Engineering Mechanics
Volume 116, Issue 9
Abstract
The category of problems that examines the dynamic behavior of inclusions embedded in elastic media is of particular interest to the study of dynamic soil‐structure interaction. In a majority of investigations, the interface between the inclusion and the surrounding elastic medium is assumed to be perfectly bonded. This paper examines the elastodynamic problem pertaining to the steady rectilinear oscillations of a spherical rigid inclusion that is embedded in smooth bilateral contact with an isotropic elastic medium of infinite extent. The bilateral contact is maintained by the application of a uniform radial stress field at infinity. The inclusion is subjected to a harmonic oscillation. The analytical solution for the resulting elastodynamic problem is developed in exact closed form. The numerical results presented in the paper illustrate the manner in which the dynamic compliance of the embedded rigid spherical inclusion is influenced by the frictionless boundary conditions at the inclusion‐elastic medium interface.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 9 • September 1990
Pages: 1945 - 1958
Copyright
Copyright © 1990 ASCE.
History
Published online: Sep 1, 1990
Published in print: Sep 1990
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