Transient Lamb's Solution for Surface Strip Impulses
Publication: Journal of Engineering Mechanics
Volume 119, Issue 12
Abstract
An alternative integral‐form solution of the Lamb's problem is developed for the transient response inside of the medium as well as at the surface, when subjected to impulsive/sudden application of surface strip loads. A distributed‐source solution that yields a Green's function for the boundary‐integral equation for half‐space problems has more advantages for the effective use for actual boundary‐value problems when compared to the Lamb's classical point/line source solution of 1904. The present procedure applies the Fourier‐Laplace integral transform to the governing equation so that after getting the Fourier (wavenumber) Laplace domain solution, it performs the inverse Fourier transform analytically and the inverse Laplace transform by contour integration. Such obtained expressions are amenable to numerical computation with excellent accuracy. The interior and surface responses of the medium under the uniform surface loading are the focus of the illustrative computations. The results are verified by comparing the surface response at the extreme loading state with the existing closed‐form solution for line source. The interior response features are stated.
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Published In
Journal of Engineering Mechanics
Volume 119 • Issue 12 • December 1993
Pages: 2385 - 2403
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: May 26, 1992
Published online: Dec 1, 1993
Published in print: Dec 1993
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