Research Article
Feb 1966
Bounding Plane Stress Solutions by Finite Elements
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VIEW THE REPLYAuthors: R. F. Hooley, M.ASCE, and P. D. HibbertAuthor Affiliations
Publication: Journal of the Structural Division
Volume 92, Issue 1
Abstract
The stiffness properties of a finite sized model element of a plate under plane stress are presented. The mathematical model is a piece of the material itself and not a configuration of bars that replace the material. It is shown that an additional deformation condition should be specified instead of an arbitrary arrangement of bars. An example shows that this extra condition considerably increases the accuracy of the model and so reduces the number of degrees of freedom required to approximate the continuous system. A system of bounding the deflection under a single load is shown by assigning values to a free parameter. Thus, the maximum error is known and can be reduced without going to a fine grid.
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Published In
Journal of the Structural Division
Volume 92 • Issue 1 • February 1966
Pages: 39 - 48
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Feb 1966
Published online: Feb 1, 2021
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Authors
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R. F. Hooley, M.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of British Columbia, Vancouver, B. C., Canada
P. D. Hibbert
Graduate Student, Dept. of Civ. Engrg., Univ. of British Columbia, Vancouver, B. C., Canada
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.