边界元法分析中边界切向应力的有限差分算法

FINITE DIFFERENCE ALGORITHM FOR SOLVING THE TANGENTIAL STRESS AT THE BOUNDARY IN THE BOUNDARY ELEMENT METHOD

在用边界元法作弹性应力分析中,不能直接计算出弹性体边界切向应力。本文在边界元法分析的基础上,用差分法计算边界切向应力。推导出常边界元情况下边界切向应力的差分公式。计算表明文中所述方法是可行的、简单实用。所研究的方法也适用于高次边界单元的边界切向应力的计算。

The tangential stress at the boundary can not be gained directly in the application of Boundary Element Method to analysing elastic stress.In this paper,difference method is used for solving tangentical stress at the boundary on the basis of Boundary Element Method. The difference formulas for the boundary tangential stress are derived for the constant boundary elements. The calculation shows that the method in this article is feasible,simpie and practical.The method developed in the article also can be used to calculate the boundary tangential stress of higher boundary elements.