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Bending of Thin Elastic Plates Containing Line Discontinuities


Wang, Neng-Ming (1962) Bending of Thin Elastic Plates Containing Line Discontinuities. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/9WFR-W284.


The purpose of this work is to examine the stress distribution caused by the bending of a thin elastic plate containing a line discontinuity. Specifically, the plate under consideration is of constant thickness and occupies a whole plane exterior to the line discontinuity. The line discontinuity is either a crack or a rigid inclusion. The loading is applied to the plate at infinity by certain combinations of tractions which leave the plate in equilibirum. The analysis of the problems considered here is based on an approximate theory which is more refined than the classical theory ordinarily applied to problems of bending of plates. This is because results based on the classical theory may be incorrect, even in first approximation for thin plates, near a boundary, and it is precisely the region near a boundary (in this case, the line discontinuity) which is of primary interest in these problems. In fact one of the principal objectives in this work is to compare the stress distributions near the line discontinuity as predicted by the two theories. The principal techniques used in this work are based on integral equations and the calculus of variations. Results based on the two theories are found to agree for thin plates away from the line discontinuity, but differ significantly in the vicinity of the discontinuity, even for very thin plates.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Engineering Science)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Knowles, James K.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1962
Record Number:CaltechTHESIS:08182011-105727536
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6595
Deposited By: Tony Diaz
Deposited On:23 Aug 2011 18:28
Last Modified:21 Dec 2023 22:26

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