Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

被引：19
|
作者：
Bai, Yanhong [1 ]
Wu, Yongke [2 ,3 ]
Xie, Xiaoping [1 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[3] China Acad Engn Phys, Inst Struct Mech, Mianyang 621900, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2016年 / 8卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Linear elasticity; hybrid stress finite element; Poisson-locking; second-order accuracy; RATIONAL APPROACH; HIGH-PERFORMANCE; FORMULATION; STIFFNESS; MODES;
D O I：
10.4208/aamm.2014.m548
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper derives a higher order hybrid stress finite element method on quadrilateral meshes for linear plane elasticity problems. The method employs continuous piecewise bi-quadratic functions in local coordinates to approximate the displacement vector and a piecewise-independent 15-parameter mode to approximate the stress tensor. Error estimation shows that the method is free from Poisson-locking and has second-order accuracy in the energy norm. Numerical experiments confirm the theoretical results.
引用
收藏
页码：399 / 425
页数：27
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