Error Estimates for a Simplified Reissner Theory of Plate Bending

A simplified Reissner theory for plate bending is dealt with in which transverse displacement occurs as the single unknown variable. The two-dimensional theory used in conjunction with the plane stress theory serves to construct three-dimensional fields whose relative mean square error, under so-ca...

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Bibliographic Details
Main Author: Z. Rychter
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1988-07-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/1716
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Summary:A simplified Reissner theory for plate bending is dealt with in which transverse displacement occurs as the single unknown variable. The two-dimensional theory used in conjunction with the plane stress theory serves to construct three-dimensional fields whose relative mean square error, under so-called „regular" edge conditions, is shown to be of order of the plate thickness cubed with respect to elasticity solutions.
ISSN:0867-888X
2450-8071