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Locking free quadrilateral continuous/discontinuous finite element methods for the Reissner–Mindlin plate
Jönköping University, School of Engineering, JTH, Mechanical Engineering. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Umeå Universitet.
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 transforma- tion law to the physical plane as the gradient of displacements. We prove optimal conver- gence, 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
Applied Mechanics Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-22646DOI: 10.1016/j.cma.2013.11.004ISI: 000330815900017Scopus ID: 2-s2.0-84890012058OAI: oai:DiVA.org:hj-22646DiVA: diva2:676902
Available from: 2013-12-08 Created: 2013-12-08 Last updated: 2016-11-29Bibliographically approved

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Hansbo, Peter
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