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

页码：399 / 425

页数：27

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