Saint-Venant’s Principle and the Torsion of Thin Shells of Revolution

[+] Author and Article Information
C. O. Horgan, L. T. Wheeler

Department of Mechanical Engineering, University of Houston, Houston, Texas

J. Appl. Mech 43(4), 663-667 (Dec 01, 1976) (5 pages) doi:10.1115/1.3423951 History: Received February 01, 1976; Online July 12, 2010


This paper is concerned with obtaining stress estimates for the problem of axisymmetric torsion of thin elastic shells of revolution subject to self-equilibrated end loads. The results are obtained in the form of explicit pointwise stress bounds exhibiting an exponential decay with distance from the ends, thus supplying a quantitative characterization of Saint-Venant’s principle for this problem. In contrast to arguments using energy inequalities, here we apply a technique, recently developed by the authors, based on the maximum principle for second-order uniformly elliptic equations.

Copyright © 1976 by ASME
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