Buckling Near A Hole in an Infinite Plate Under Tension.
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Authors
Costello, Robert Graham
Subjects
Advisors
Brock, John
Date of Issue
1968-06
Date
1968-06
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
If an infinite flat elastic plate containing a circular hole is subjected to a loading which amounts to simple uniaxial tension at distances remote from the hole, the classical solution by Kirsch provides an evaluation of the stress components throughout the plate, provided the loading is sufficiently small. However, if the tensile loading is progressively increased, there comes a point when Kirsch's solution becomes invalid, either through inelastic action at the most highly stressed regions in the plate, or through buckling of the plate from its original plane. The question of buckling under these circumstances has previously been discussed only by Danis, who dealt experimentally with finite plates, and by Pellett who performed a theoretical study of an infinite plate. The present thesis pinpoints and corrects some errors in Pellett's analysis, and leads to the result that buckling impends when the tensile stress reaches the value Scr = 1.720 E (t/a)sq. where E denotes Young's modulus and t/a denotes the ratio of plate thickness to hole radius. This evaluation is for Poisson's ratio v = 0.3, a commonly used value, but evaluations are also made for other values of v, indicating that the variation with respect to v is quite small.
Type
Thesis
Description
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
68 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.