Shear Waves in Plane Infinite Structures

by John Lysmer, Assoc. Prof. of Civ. Engrg.; Univ. of California, Berkeley, CA,
Günter Waas, Grad. Res. Asst.; Dept. of Civ. Engrg., Univ. of California, Berkeley, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 1, Pg. 85-105

Document Type: Journal Paper


A numerical procedure is developed for the dynamic analysis of plane, linearly elastic systems consisting of an irregular zone joined to semi-infinite layered zones. All exciting forces are assumed to be harmonic and perpendicular to the plane of the structure. This implies that only shear waves (SH-waves) are generated and that no displacements occur in the plane of the structure. The method employs a finite element analysis of the irregular zone of the structure. The effect of the semi-infinite layered zones is accounted for by boundary conditions developed from a new discrete theory for standing and propagating Love waves in layered systems. The method is used to evaluate the screening effect of a trench and the accuracy of a currently used method to predict the motion of a foundation subject to ground induced vibrations.

Subject Headings: Shear waves | Finite element method | Layered systems | Dynamic analysis | Elastic analysis | Ground motion | Linear analysis | Wave generation

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