Jønsson, J.; Krenk, S.; Damkilde, L. Semi-Loof element for plate instability. (English) Zbl 0789.73071 Commun. Numer. Methods Eng. 10, No. 1, 11-19 (1994). Summary: In the formulation of the semi-Loof element the rotation of the tangent plane is derived from the interpolation of the transverse displacement, while the rotation of the normal is interpolated separately by another set of shape functions. The geometric stiffness matrix can be formulated by use of either of the two rotation representations. It is demonstrated that the use of the tangent plane representation in the geometric stiffness matrix is far superior to the common form at present. Cited in 1 Document MSC: 74S05 Finite element methods applied to problems in solid mechanics 74K20 Plates 74G60 Bifurcation and buckling Keywords:rotation of the tangent plane; transverse displacement; geometric stiffness matrix; rotation representations PDFBibTeX XMLCite \textit{J. Jønsson} et al., Commun. Numer. Methods Eng. 10, No. 1, 11--19 (1994; Zbl 0789.73071) Full Text: DOI References: [1] Irons, Finite Elements for Thin Shells and Curved Members (1976) [2] Martins, Structural instability and natural vibration analysis of thin arbitrary shells by use of the semi-Loof elements, Int. j. numer. methods eng. 11 pp 481– (1977) · Zbl 0352.73069 · doi:10.1002/nme.1620110308 [3] Martins, Elastoplastic and geometrically nonlinear thin shell analysis by the semi-Loof element, Comput. Struct. 13 pp 505– (1981) · Zbl 0458.73052 · doi:10.1016/0045-7949(81)90045-6 [4] PAFEC Theoretical Manual (1984) [5] Wang, Hybrid semiloof element for buckling of thin-walled structures, Comput. Struct. 30 pp 811– (1988) · Zbl 0674.73056 · doi:10.1016/0045-7949(88)90109-5 [6] Loof, Assoc. of Int. Symp. on Use of Comp. in Struct. Eng. (1966) [7] Timoshenko, Theory of Elastic Stability (1961) [8] J. Jønsson Recursive finite elements for buckling of thin-walled beams 1990 [9] Guyan, Recution of stiffness and mass matrices, AIAA J. 3 pp 380– (1965) · doi:10.2514/3.2874 [10] Henshell, Automatic masters for eigenvalue economisation, Earthquake eng. struct. dyn. 3 pp 375– (1975) · doi:10.1002/eqe.4290030408 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.