目的 用有限元方法推算尖角处的应力。 方法 在对有限元模型进行第 1 次仿真的基础上,基于对等值线图的直观考察,确定应力梯度较小的方位。 然后在尖角附近,沿此方位在几何体表面绘制一定大小的矩形,并在矩形上确定几个关键点。 依次对该矩形进行网格细分,并考察几个关键点的应力变化情况。 当这些点的应力趋于收敛时,根据这些点及其应力值创建一条三次样条曲线,然后利用此样条曲线进行外插,推测尖角处的应力。 结果 对于给定的算例, 得到了尖角处的应力为 1 . 46MPa。 结论 可以使用外插的方式来推算尖角处的应力。

Objective To calculate the stress at corner using the finite element method. Methods Based on the first simulation of the finite element model, the stress contours were investigated and a relatively less gradient direction was determined. Around the corner, a rectangle with certain size was drawn on the surface of the geometry along this direction, at the same time some key points were decided on the edge of the rectangle. After several times of remeshing of this rectangle, the values of stress were investigated at the key points. When the value of stress showed a trend of convergence, a three-order spline was constructed according to these values of stress. Extrapolating was carried out at this spline, and finally the value of stress at the corner was speculated. Results A sample was used to evaluate this method and the stress of corner was 1. 46 MPa. Conclusion The extrapolating method can be used to calculate the stress of the corner.