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Corotational mixed three-dimensional finite element for structural stability problems
Structural Engineering Research Group/LGCGM, INSA de Rennes, France.
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Design and Bridges (name changed 20110630).ORCID iD: 0000-0003-2104-382X
2010 (English)In: ECCM 2010, IV European Conference on Computational Mechanics, 2010Conference paper (Refereed)
Abstract [en]

The corotational technique exploits the technology that applies to a two–noded element a coordinatesystem which continuously translates and rotates with the element. In this way, the rigid bodymotion is separated out from the deformational motion. In this paper, a mixed formulation is adoptedfor the derivation of the local element tangent stiffness matrix and nodal forces. The mixed finiteelement formulation is based on the two–field Hellinger–Reissner variational principle. This localelement, together with the corotational framework, can be used to analyze the nonlinear bucklingand postbuckling of thin–walled beams with arbitrary cross–section. The mixed formulation solutionis compared against the results obtained from a corotational displacement–based formulation havingthe same beam kinematics. The superiority of the mixed formulation is clearly demonstrated.

Place, publisher, year, edition, pages
National Category
Civil Engineering
URN: urn:nbn:se:kth:diva-72469OAI: diva2:487629
ECCM 2010 - IV European Conference on Computational Mechanics. Paris, France. May 16-21, 2010
QC 20120425Available from: 2012-01-31 Created: 2012-01-31 Last updated: 2012-04-25Bibliographically approved

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Hjiaj, MohammedBattini, Jean-Marc
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