engleski

Distortion-immune 9-node Quadrilateral Thick Plate Finite Elements that Satisfy Constant-Bending Patch Test

We employ the linked interpolation concept to develop two higher-order 9-node quadrilateral plate finite elements with curved sides that pass the constant bending patch test for arbitrary node positions. The linked interpolation for the plate displacements is expanded to get polynomial completeness necessary to satisfy the patch test. The resulting plate element (proposed element Q9-L2) involves all twenty-five monomials of the bi-quartic parametric polynomial for the displacement interpolation and full bi-quadratic interpolation with nine monomials for rotations in both directions necessitating as many as sixteen additional degrees of freedom more than the pure Lagrangean 9-node element (Q9). However, taking advantage of the linked interpolation concept, the number of associated parameters is reduced by as many as twelve degrees of freedom, leaving the distortion-immune element with thirty-one degrees of freedom (of which four are internal).

Mindlin theory of plates ; finite element method ; linked interpolation ; mesh distortion

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