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A four-node, shear-deformable shell element developed via explicit Kirchhoff constraints. (English) Zbl 0998.74073

From the summary: We formulate an efficient, four-node quadrilateral shell element by using a linear, first-order shear deformation theory. The bending part of the formulation is constructed from a cross-diagonal assembly of four three-node anisoparametric triangular plate elements, referred to as MIN3. Closed-form constraint equations, which arise from Kirchhoff constraints in thin-plate limit, are derived and used to eliminate the degrees of freedom associated with the ‘internal’ node of the cross-diagonal assembly. The membrane displacement field employs an Allman-type, drilling degree-of-freedom formulation. The result is a displacement-based, fully integrated, four-node quadrilateral element, MIN4T, possessing six degrees of freedom at each node. Results for a set of validation plate problems demonstrate that the four-node MIN4T has similar robustness and accuracy characteristics as the original cross-diagonal assembly of MIN3 elements involving five nodes.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells

Software:

ANSYS
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References:

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