P-FEMOL ANALYSIS OF PLATE BENDING PROBLEMS

作     者：Si, Yuan 

作者机构：Tsinghua Univ Beijing China 

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

年 卷 期：1994年第7卷第1期

页      面：39-45页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Bending (deformation) Boundary layers Convergence of numerical methods Differential equations Finite element method Geometry Mathematical models Performance Plates (structural components) Polynomials Stresses 

摘      要：In this paper, the p- version of the finite element method of lines (FEMOL) for the analysis of the Mindlin-Reissner plate bending problems is presented and a class of p-FEMOL elements with polynomial degrees as high as nine is developed. Numerical examples given in this paper show tremendous performance of the present method: namely, rapid convergence rate, high accuracy for both displacements and stress resultants, removal of shear-locking trouble, capability of dealing with difficult problems such as the boundary layer behavior near a free edge and stress concentration around a hole.