用数值方法构造二阶收敛的平面弹性问题非闭锁三角形元  

A Locking-free Triangular Element with Convergence of Two-order for Planar Elasticity Problem Constructed with Numerical Methods

作　　者：任国彪[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《中州大学学报》2008年第5期113-117,共5页Journal of Zhongzhou University

基　　金：国家自然科学基金(Nos.10471133)

摘　　要：对于纯位移平面弹性问题,在不完全3次多项式空间中,用数值方法基于div(?)∈P_1构造了一个二阶收敛的非协调三角形单元,该单元是非闭锁的,数值算例验证了该单元的收敛性结果。For pure displacement planar elasticity problem, a nonconforming triangular element is constructed with numerical methods by restricting div→∈P1. The element has two - order of convergence and property of locking - free. Numerical experiments are carried out to show the convergence order of the theoretical analysis.

关 键 词：平面弹性 非闭锁 有限元 数值方法 

分 类 号：O242.21[理学—计算数学]