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Energy inequalities and error estimates for torsion of elastic shells of revolution

Ho, Chee-Leung and Knowles, James K. (1970) Energy inequalities and error estimates for torsion of elastic shells of revolution. Zeitschrift für angewandte Mathematik und Physik ZAMP, 21 (3). pp. 352-377. ISSN 0044-2275.

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This paper is concerned with the problem of axisymmetric torsion by terminal loads of elastic shells of revolution. Such shells are considered here to be three-dimensional bodies occupying a region of space which includes all points whose distances from a given surface - the midsurface - do not exceed h/2, where h is the shell thickness. The analysis is based on the classical linear theory of elasticity for homogeneous, isotropic materials, and it may be regarded as an extension of the work described in [1] and [2]. The purpose of the present paper is to assess the quality of an approximate solution of the thin shell problem. The case of axisymmetric torsion of thin shells of revolution is perhaps tile simplest one for this purpose, since simple approximate solutions - constructed from two-dimensional shell theories or otherwise - are known [3]. Our results provide estimates, based on the three-dimensional theory of elasticity, for the error involved in a stress analysis in which the 'exact' solution is replaced by an approximate one.

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Additional Information:© 1970 Springer. Received: December 19, 1969. This research is based on work supported in part by the United States Office of Naval Research under Contract Nonr 220(56). Reproduction in whole or in part is permitted for any purpose of the United States Government.
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Office of Naval Research (ONR)Nonr 220(56)
Issue or Number:3
Record Number:CaltechAUTHORS:20151124-105106068
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62371
Deposited By: Tony Diaz
Deposited On:24 Nov 2015 19:06
Last Modified:03 Oct 2019 09:18

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