A reconstructed edge-based smoothed DSG element based on global coordinates for analysis of Reissner–Mindlin plates

作     者：Gang Yang De’an Hu Shuyao Long 

作者机构：State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Vehicle Engineering Hunan University Changsha 410082China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2017年第33卷第1期

页      面：83-105页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China (Grants 11272118, 11372106) Fundamental Research Fund of the Central Universities (Grant 227201401203) 

主　　题：Reissner-Mindlin plate DSG method Symbolic integration Smoothing technique Global coordinate Distorted element 

摘      要：A reconstructed edge-based smoothed triangular element, which is incorporated with the discrete shear gap (DSG) method, is formulated based on the global coordinate for analysis of Reissner-Mindlin plates. A symbolic integration combined with the smoothing technique is implemented to calculate the smoothed finite element matrices, which is integrated along the boundaries of each smoothing cell. Numerical results show that the proposed element is free from shear locking, and its results are in good agreement with the exact solutions, even for very thin plates with extremely distorted elements. The proposed element gives more accurate results than the original DSG element without smoothing, and it can be taken as an alternative element for analysis of Reissner-Mindlin plates. The prominent feature of the present element is that the integration scheme is unified in the smoothed form for all of the finite element matrices.