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一、引言孔口附近应力集中问题采用复变函数的求解方法比较复杂,对任意形状孔口问题的求解则更困难。用有限元法计算,能使孔口应力集中问题得到较好的解决。近年来,新发展的边界单元法只需对边界划分单元,比有限元法输入数据少,手续简便,精度高,总体方程系数矩阵阶数低,特别适用于无限大域问题,是一种强有力的数值计算工具。边界单元法可分为直接法、半直接法和间接法,间接法除具有以上优点外,较直接法简单,易于推广。本文采用边界单元间接法解孔口问题,以说明边界单元间接法解孔口问题的有效性及优越性。
I. INTRODUCTION The stress concentration problem near the orifice is complicated to solve by the complex variable function, and it is more difficult to solve the problem of the orifice with arbitrary shape. Calculated by the finite element method, the problem of stress concentration at the orifice can be better resolved. In recent years, the newly developed boundary element method only requires less input data than the finite element method for the boundary division unit, has simple procedures and high precision, and has a low order of the overall equation of the coefficient matrix, and is particularly applicable to the infinite large-scale problem and is a powerful one. The numerical calculation tool. The boundary element method can be divided into direct method, semi-direct method and indirect method. In addition to the above advantages, the indirect method is simpler than the direct method and can be easily popularized. This paper uses the boundary element indirect method to solve the problem of the orifice to illustrate the effectiveness and superiority of the indirect method for solving the orifice problem.