针对中心带有圆孔的有限宽平板的应力集中问题,利用软件ABAQUS对其进行有限元分析。定义了孔边应力集中系数K和描述板宽与孔径相对尺度的特征参数ξ,研究得到了反映不同板宽下孔边应力集中程度的ξ-K关系曲线图,并将其与无限大板宽情形下的解析解进行比较,给出解析解的适用范围。在此基础上,数值分析了不同形状的椭圆孔口应力集中问题,并对椭圆尖端奇异性进行简要讨论。
The stress concentration problem of finite-width plates with a central circular hole were analyzed in terms of finite element method by ABAQUS software. We defined the stress concentration factor K and characteristic parameter ξ used to describe the relative scale between the width of plates and the diameter of the circular hole. By means of a series of numerical experiments, the ξ - K curve was obtained to reflect the stress concentration level around the hole and then compared with the analytical solution to get its scope of application. In addition, the stress concentration phenomena of elliptic holes with various shapes were numerical analyzed. Besides, the singularity of elliptic tip was discussed briefly.