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Decomposition of plate displacements via Kirchhoff-Love displacements
Mathematical Methods in the Applied Sciences, 2023In this paper, we show that any displacement of a plate is the sum of a Kirchhoff-Love displacement and two terms, one for shearing and one for warping. Then, the plate is loaded in order to obtain that the bending and shearing contribute the same order of magnitude to the fiber rotations.
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Simply Supported Polygonal Mindlin Plate Deflections Using Kirchhoff Plates
Journal of Engineering Mechanics, 1995This study presents a derivation of an exact relationship between the deflection values of a simply supported Mindlin plate and the corresponding simply supported Kirchhoff plate. The relationship is valid for any polygonal plate shape and transverse loading condition.
C. M. Wang, W. A. M. Alwis
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A NEW FINITE ELEMENT METHOD FOR KIRCHHOFF PLATES
Applied and Industrial Mathematics in Italy II, 2006Based on the ideas from [1] and [2] we present a new finite element method for the Kirchhoff plate bending model [3]. The method uses C 0 basis functions for the deflection and the rotation, i.e. the same approach as used for the Reissner-Mindlin model. To account for the effective shear force at the free boundary a stabilization term is added.
Beirao da Veiga L +2 more
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A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates
Journal of Scientific Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jianguo, Huang, Xuehai
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Interface crack between isotropic Kirchhoff plates
Meccanica, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kirchhoff–Love Plate Deformations Reinterpreted
Journal of Engineering Mechanics, 2022Peter Marti +3 more
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A C0 discontinuous Galerkin formulation for Kirchhoff plates
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wells, Garth N., Nguyen, Tien Dung
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Deducing Buckling Loads of Sectorial Mindlin Plates from Kirchhoff Plates
Journal of Engineering Mechanics, 1999This study presents a relationship between the buckling loads of sectorial plates based on the Kirchhoff (or classical thin) plate theory and the Mindlin plate theory. Whereas the former plate theory neglects the effect of transverse shear deformation, the latter plate theory allows for it.
Wang, C.M., Xiang, Y.
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Triangular Elements for Kirchhoff Plates
2023Dieter Dinkler, Ursula Kowalsky
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