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Locking free quadrilateral continuous/discontinuous finite element methods for the Reissner-Mindlin plate
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2014 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 269, 381-393 p.Article in journal (Refereed) Published
Abstract [en]

We develop a finite element method with continuous displacements and discontinuous rotations for the Reissner-Mindlin plate model on quadrilateral elements. To avoid shear locking, the rotations must have the same polynomial degree in the parametric reference plane as the parametric derivatives of the displacements, and obey the same transformation law to the physical plane as the gradient of displacements. We prove optimal convergence, uniformly in the plate thickness, and provide numerical results that confirm our estimates.

Place, publisher, year, edition, pages
2014. Vol. 269, 381-393 p.
Keyword [en]
Discontinuous Galerkin, Reissner-Mindlin plate, Shear locking, Quadrilateral element
National Category
URN: urn:nbn:se:umu:diva-86826DOI: 10.1016/j.cma.2013.11.004ISI: 000330815900017OAI: diva2:705627
Available from: 2014-03-17 Created: 2014-03-11 Last updated: 2014-03-17Bibliographically approved

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Larson, Mats G
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Department of Mathematics and Mathematical Statistics
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