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A cell-based smoothed three-node plate finite element with a bubble node for static analyses of both thin and thick plates

Chau Dinh Thanh, Vo Ngoc Tuyen, Nguyen Hoang Phuc

Abstract


This paper develops the cell-based (CS) smoothed finite element method for a three-node plate finite element with a bubble node at the centroid of the element. Based on the first-order shear deformation theory, the in-plane strains are smoothed on three non-overlapped subdomains of the element to transform the numerical integration of the element stiffness matrix from the surfaces into the lines of the subdomains. The shear-locking phenomenon, which occurs when the plate's thickness becomes small, is removed by employing the mixed interpolation of tensorial components (MITC). The present element, namely CS-MITC3+, passes the patch test and behaves independently from the sequence of node numbers of the element. Numerical results given by the CS-MITC3+ elements are better than the MITC3+ elements. As compared to other smoothed three-node plate finite elements, the CS-MITC3+ is a good competitor.

Keywords


shear locking; MITC3+; cell-based smoothed technique; CS-MITC3+ plate elements

References


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