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A triangular membrane element with rotational degrees of freedom. (English) Zbl 0593.73073
Summary: A new plane-stress triangular element is derived using the free formulation of the first author and M. K. Nygård [Int. J. Numer. Methods Eng. 20, 643-664 (1984; Zbl 0579.73077)]. The triangle possesses nine degrees of freedom: six corner translations and three corner normal rotations. The element is coordinate-invariant and passes the patch test for any geometry. Two free parameters in the formulation may be adjusted to optimize the behavior for in-plane bending patterns. With the recommended parameter choices the element performance is significantly better than that of the constant-strain triangle. Because of the presence of the rotational freedoms, this new element appears especially suitable as membrane component of a flat triangular element for modelling general shell structures.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
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