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RESEARCH PAPERS

Modifications of Series Expansions for General End Conditions and Corner Singularities on the Semi-Infinite Strip

[+] Author and Article Information
Yoon Young Kim, Charles R. Steele

Division of Applied Mechanics, Stanford University, Stanford, CA 94305

J. Appl. Mech 57(3), 581-588 (Sep 01, 1990) (8 pages) doi:10.1115/1.2897062 History: Received May 02, 1989; Revised August 23, 1989; Online March 31, 2008

Abstract

Modified series expansions are used to study semi-infinite isotropic elastic strip problems for general end conditions and corner singularities. The solutions of strips with mixed lateral edges are used as the expansion sets of the end displacement and stress, and an end stiffness matrix, the relation of harmonics of the end displacement and stress, is formed. The present end stiffness matrix approach, an extension to static strip problems of the method by Kim and Steele (1989, 1990) for time-harmonic wave propagation in a semi-infinite cylinder, is effective due to the asymptotic behavior of the stiffness matrix. Also presented is a technique for handling the corner singularities, which is based on the asymptotic analysis of the expansion coefficients of the end stresses. With this, the order and strength of the singularities are determined, local oscillations are virtually suppressed, and converging solutions are obtained. Some numerical examples are given to demonstrate the effectiveness of the approach.

Copyright © 1990 by The American Society of Mechanical Engineers
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