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Plate bending elements with discrete constraints: New triangular elements. (English) Zbl 0729.73227
Summary: In recent years a series of elements based on Reissner-Mindlin assumptions and using discrete constraints (collocation type) has been introduced. These elements have poved to be very effective, however their relation to straightforward mixed approximations has not been clear. In this paper this relationship is discussed and the reasons for their success explained. This allows new and effective triangular elements to be developed. The presentation shows the closed relationships with the DKT (discrete Kirchhoff theory) element previously available only for thin plates and allows extension of their applications.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
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