HYBRID STRESS FINITE VOLUME METHOD FOR LINEAR ELASTICITY PROBLEMS

被引：0
|
作者：
Wu, Yongke [1 ,2 ]
Xie, Xiaoping [2 ]
Chen, Long [3 ]
机构：
[1] CAEP, Inst Struct Mech, Mianyang 621900, Peoples R China
[2] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
[3] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2013年 / 10卷 / 03期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
finite volume method; hybrid stress method; quadrilateral element; Poisson-locking; ELEMENT APPROXIMATION; RATIONAL APPROACH; CONVERGENCE; FORMULATION; MESHES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A hybrid stress finite volume method is proposed for linear elasticity equations. In this new method, a finite volume formulation is used for the equilibrium equation, and a hybrid stress quadrilateral finite element discretization, with continuous piecewise isoparametric bilinear displacement interpolation and two types of stress approximation modes, is used for the constitutive equation. The method is shown to be free from Poisson-locking and of first order convergence. Numerical experiments confirm the theoretical results.
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页码：634 / 656
页数：23
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