论文部分内容阅读
基于高等弹性力学中的椭球理论,建立远场三轴应力作用下“三个半轴变化的椭球形空洞”的3维模型,得到椭球形空洞洞壁上应力状态的解析式。借助Matlab编程实现了椭球洞壁上应力状态的精确和快速计算,然后在一般椭球洞、旋转椭球洞与球洞的情况下将本文推导出的结果与现有中外文献上的结果作对比分析,最后把利用有限元软件MIDAS分析得出的三个半轴变化的椭球洞壁上关键点的应力状态与运用本文理论得出的结果作对比分析。
Based on the ellipsoid theory in higher elastic mechanics, a three-dimensional model of “three ellipsoidal cavities with semi-axial changes” under the action of far-field triaxial stress was established to obtain the analytic formula of stress state on ellipsoidal cavities. With the aid of Matlab programming, the accurate and fast calculation of the stress state on the ellipsoid wall is achieved. Then, the generalized ellipsoid, spheroid and hole conditions are compared with those obtained in the Chinese and foreign literature Finally, the stress states of the key points on the ellipsoid wall with three semi-axes which are obtained by finite element software MIDAS are compared with the results obtained by the theory of this paper.