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A simple triangular element for thick and thin plate and shell analysis. (English) Zbl 0825.73770
Summary: A new plate triangle based on Reissner-Mindlin plate theory is proposed. The element has a standard linear deflection field and an incompatible linear rotation field expressed in terms of the mid-side rotations. Locking is avoided by introducing an assumed linear shear strain field based on the tangential shear strains at the mid-sides. The element is free of spurious modes, satisfies the patch test and behaves correctly for thick and thin plate and shell situations. The element degenerates in an explicit manner to a simple discrete Kirchhoff form.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
74K15 Membranes
Software:
MAT-fem
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References:
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