Research Article
Oct 1967
Dynamic Interaction of a Layer and a Half-Space
Authors: Jan D. Achenbach and Howard I. EpsteinAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 93, Issue 5
Abstract
The equations of the theory of linear elasticity are used to compute dispersion curves for free time-harmonic waves propagating in a layer and a supporting half-space of different material properties. Both welded and smooth contacts are considered, and the layer may be acoustically softer or stiffer than the half-space. An infinite number of modes exists if the velocity of shear waves in the layer is less than the velocity of shear waves in the half-space. Generally, only one mode exists in the opposite case. The phase velocities of the two lowest modes approach, with decreasing wave length, the velocities of Rayleigh waves in the layer and the velocity of Stoneley waves, if the latter waves are possible. The phase velocities of all higher modes, if these modes exist, approach the velocity of shear waves in the layer. The conditions for existence of Stoneley waves are established.
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Published In
Journal of the Engineering Mechanics Division
Volume 93 • Issue 5 • October 1967
Pages: 27 - 42
Copyright
© 1967 American Society of Civil Engineers.
History
Published in print: Oct 1967
Published online: Feb 3, 2021
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Authors
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Jan D. Achenbach
Assoc. Prof., Dept. of Civ. Engrg., The Technological Inst., Northwestern Univ., Evanston, Ill.
Howard I. Epstein
Graduate Student, Dept. of Civ. Engrg., The Technological Inst., Northwestern Univ., Evanston, Ill.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.