Kirchhoff–Love Plate Deformations Reinterpreted
Publication: Journal of Engineering Mechanics
Volume 148, Issue 6
Abstract
The deformations of Kirchhoff–Love plate elements are usually characterized by three components describing the strains in the middle plane and three components describing the bending of the plate element. It is shown that alternatively one may consider pure bending deformations about two neutral axes that generally are not in the same plane and skew to each other. This interpretation provides an intuitive understanding of the plate deformations and is particularly useful when analyzing the behavior of reinforced concrete plate elements subjected to combined bending moments and membrane forces. After a recapitulation of the conventional interpretation of Kirchhoff–Love plate deformations and their implications on the strain distribution in plate elements, this paper presents the alternative interpretation and illustrates its application for a special case with orthogonal neutral axes.
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Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.
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© 2022 American Society of Civil Engineers.
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Received: Jun 15, 2021
Accepted: Jan 16, 2022
Published online: Mar 25, 2022
Published in print: Jun 1, 2022
Discussion open until: Aug 25, 2022
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