Second Mixed‐Boundary‐Value Problem for Thin‐Plate Bending
Publication: Journal of Engineering Mechanics
Volume 119, Issue 2
Abstract
The second mixed‐boundary‐value problem is solved by the classical theory of thin‐plate bending. The mixed boundary consists of a boundary of simple supported type and that of external forces. The boundary of simple support is straight and the remain is arbitrary configuration and a closed‐form solution is obtained. Complex stress functions and a rational mapping function are used for the analysis. As an example to derive a general solution, a half‐plane with a crack subject to uniform bending moment is considered. The crack initiates from an end of the simple support due to stress concentration. Stress distributions before and after the crack initiation are obtained. The influence of the simple support and a crack on the stress is investigated. Stress intensity factors are obtained from short to long crack and for some Poisson's ratio.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 2 • February 1993
Pages: 211 - 224
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Dec 26, 1991
Published online: Feb 1, 1993
Published in print: Feb 1993
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