含随机微裂纹的椭圆孔口应力分析

发布时间：2018-04-24 13:09

本文选题：椭圆孔口 + 微裂纹　；参考：《上海交通大学学报》2016年02期

【摘要】：针对实际工程中广泛存在的孔洞边缘含有随机微裂纹的孔口应力分析问题建立了理论模型.利用微裂纹在小尺度下的局部保角性构造近似的复变函数,通过对微裂纹与宏观孔洞的尺度分离获得了不同尺度下椭圆孔口的应力场,并扩大了复变函数的应用范围.结果表明,通过近似的复变函数的构造和微裂纹与宏观孔洞的尺度分离,能够准确计算含微裂纹椭圆孔口的应力场和应力强度因子.当含随机微裂纹的椭圆孔洞所在平面承受竖向均布载荷时,椭圆长短轴的比值越大,应力强度因子的极值越大,且应力强度因子沿椭圆边缘的衰减速度越快;当椭圆长短轴的比值足够小时,微裂纹位置对应力强度因子的影响不大.
[Abstract]:A theoretical model is established for the stress analysis of holes with random microcracks on the edge of holes in practical engineering. By using the local conformal property of microcracks in small scale to construct approximate complex variable function, the stress field of elliptical orifice at different scales is obtained by separating the microcrack from the macro pore, and the application range of complex variable function is enlarged. The results show that the stress field and stress intensity factor of elliptical orifice with microcracks can be accurately calculated by the construction of approximate complex variable function and the scale separation of microcracks from macroscopic holes. When the plane of the elliptical cavity with random microcracks is subjected to vertical uniform load, the larger the ratio of the long and short axis of the ellipse is, the greater the extreme value of the stress intensity factor is, and the faster the attenuation speed of the stress intensity factor is along the edge of the ellipse. When the ratio of the long and short axes of the ellipse is small enough, the microcrack position has little effect on the stress intensity factor.
【作者单位】：东南大学工程力学系;
【基金】：国家自然科学基金项目(11072060)资助
【分类号】：O346.1

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