边界元角点问题的重节点法分析

Analysis of Boundary Element Angle Problem with Nodes Superposition Method

应用重节点法处理三维弹性力学角节点问题，采用等参变换插值逼近的方法离散边界积分方程，解决了由于角节点表面力不连续带来的方程求解困难问题。算例分析结果表明，该方法具有操作简单，计算方便，求解结果满足计算精度的要求等优点，尤其在角点存在应力集中场合更具优越性。

Superposition of nodes is put to use for the analysis of three dimensional elastic mechanics angle problem. A method is introduced to deal with boundary integral equation of 3D-BEM. Isoparametric conversion and interpolation approach is used in this process. Nodes on the angle location take on discontinuity superficial force, which result in solution is difficult. With this method, it is solved. This method is provided with a great deal of merits such as simple operation, convenient calculation and accurate result. It is predominant especially in such situation that stress convergence appears on angle position.