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Semi-Loof element for plate instability. (English) Zbl 0789.73071

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.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
74G60 Bifurcation and buckling
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