TECHNICAL PAPERS
Jan 1, 1995

Modal Representation of Two-Dimensional Elastodynamic Green's Functions

Publication: Journal of Engineering Mechanics
Volume 121, Issue 1

Abstract

Green's functions for a laminated composite plate have been studied using the representation in terms of guided modes. Attention has been focused here on the two-dimensional (plane strain) motion. For this purpose, the exact dispersion equation for the laminated plate has been solved using Muller's method, and initial estimates obtained through a stiffness-based Rayleigh-Ritz type approximate technique. The well-known numerical difficulties associated with computation of eigenvalues and eigenmodes at high frequencies are circumvented by adopting the delta matrix technique. Numerical results for an isotropic plate are compared with those obtained from the evaluation of the wave-number integrals. Results are presented also for a 35-layer cross-ply composite plate.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 121Issue 1January 1995
Pages: 26 - 36

History

Published online: Jan 1, 1995
Published in print: Jan 1995

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Authors

Affiliations

J. Zhu
Grad. Student, Dept. of Civ. and Geological Engrg., Univ. of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2.
A. H. Shah, Member, ASCE
Prof., Dept. of Civ. and Geological Engrg., Univ. of Manitoba, Winnipeg, Manitoba, Canada.
S. K. Datta
Prof., Dept. of Mech. Engrg., Univ. of Colorado, Boulder, CO 80309-0427.

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