Analysis of Cantilever Plates with Stepped Section Using p-Convergent Transition Element for Solid-to-Shell Connections

Abstract

This paper presents efficient modeling technique using the p-convergent transition element for analysis of cantilever plates with stepped section. For the efficient modeling, firstly, the high-precision element is formulated by combination of one- and two-dimensional shape functions. Secondly, for another three-dimensional modeling, the reduced-precision element is proposed by assuming a piecewise linear variation of in-plane displacements and a constant value of the lateral displacement across the thickness. Thirdly, two-dimensional shell element with higher-order shape functions is formulated using first-order shear deformation theory. Lastly, the p-convergent transition element is proposed in order to connect three element types formulated. All the elements considered are on the basis of subparametric element concept. The elements are applied with cantilever plates with stepped section subjected to in-plane and transversal loadings. The present models using the p-convergent transition element are demonstrated to be more practical and economical than previously p-version FEM using only single element type.