弹性力学问题的虚边界元-配点法

本文提出虚边界方法,建立了离散化虚边界元-配点法,给出了离散化求系数的积分解析式。本文方法完全避免了边界奇异积分及其复杂耗时的运算,成功地提高了普通边界元法(以下简称边界元法)中边界附近区域内包括边界上解的精度,保留了边界元法的优点并扬弃了其弱点。边界元间接法是本文方法中的一个特例。数值算例表明,程序可靠,节省机时,计算精度较高。

Virtual Boundary Element-Collocation Method for Solving Problems of Elasticity

In this paper a virtual boundary element-collocation method is presented for solving problems of elasticity, which can improve obviously the calculating accuracy of displacements and stresses near the region of boundary than the classical boundary element method and any other numerical method.Some examples show that the accuracy in the internal domain including the subdomain near the real boundary is quite higher than one of any other numerical methods. There is no any singular integral in this method. The results of examples are quite satisfactory.