Affiliation:
1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China
2. Nanjing University of Science and Technology, Changshu Research Institute Co., Ltd., Suzhou 215500, P. R. China
Abstract
Based on the Taylor Expansion and constrained moving least square function, a smoothed GFEM (SGFEM) is proposed in this paper for static, free vibration and buckling analysis of Reissner–Mindlin plate. The displacement function based on SGFEM is composed of classical linear finite element shape function and nodal displacement function, which are obtained by introducing the gradient smoothed meshfree approximation in Taylor expansion of nodal displacement function. A constrained moving least square function is proposed for constituting meshfree nodal displacement function. The merits of the proposed SGFEM, including high accuracy, rapid error convergence, insensitive to mesh distortion, free of shear-locking problem, no extra DOFs and temporal stability, etc., are demonstrated by several typical examples and comparisons with other numerical methods.
Funder
National Natural Science Foundation of China
Fundamental Research Funds for the Central Universities
Publisher
World Scientific Pub Co Pte Ltd
Subject
Computational Mathematics,Computer Science (miscellaneous)
Cited by
7 articles.
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