engleski

Distortion-immune 9-node displacement-based quadrilateral thick plate finite elements that satisfy constant-bending patch test

We employ the linked interpolation concept to develop a higher-order 9-node quadrilateral plate finite element with curved sides which passes the constant bending patch test for arbitrary node positions. The linked interpolation for the plate displacements is expanded with three bubble parameters to get polynomial completeness necessary to satisfy the patch test. In contrast to some other techniques, the elements developed in this way retain a symmetric stiffness matrix at a marginal computational expense at the element level. Two new elements are generated using this concept and tested on several examples with curved sides or some kind of geometric distortion.

Mindlin plate theory ; quadrilateral displacement-based plate finite elements ; higher-order linked interpolation ; distorted mesh geometry

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