多椭圆孔边裂纹应力强度因子的解析解  

ANALYTICAL SOLUTION OF STRESS INTENSITY FACTOR FOR MULTIPLE ELLIPTICAL HOLE EDGE CRACKS

作　　者：赵晋芳 赵群 周松 ZHAO JinFang;ZHAO Qun;ZHOU Song(Civil Aviation College,Shenyang Aerospace University,Shenyang 110136,China;Key Laboratory of Fundamental Science for National Defense of Aeronautical Digital Manufacturing Process,Shenyang Aerospace University,Shenyang 110136,China;School of Mechanical Engineering,Shenyang Institute of Engineering,Shenyang 110136,China;School of Mechatronics Engineering,Shenyang Aerospace University,Shenyang 110136,China)

机构地区：[1]沈阳航空航天大学民用航空学院,沈阳110136 [2]沈阳航空航天大学航空制造工艺数字化国防重点学科实验室,沈阳110136 [3]沈阳工程学院机械学院,沈阳110136 [4]沈阳航空航天大学机电工程学院,沈阳110136

出　　处：《机械强度》2024年第6期1474-1480,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(52105157);辽宁省教育厅科学研究经费项目(JYT2020122);沈阳航空航天大学航空制造工艺数字化国防重点学科实验室开放基金资助项目(SHSYS202208)资助。

摘　　要：老龄飞机机身蒙皮含多孔边裂纹结构,蒙皮孔会在载荷作用下由圆孔变为椭圆孔,多椭圆孔边裂纹应力强度因子的计算是断裂力学分析中的重要问题。采用基于复变函数理论和近似迭加法的解析计算方法,求解多椭圆孔边裂纹在远场应力作用下的应力强度因子,并分析了双椭圆孔边对称裂纹、双椭圆孔边内侧单裂纹、外侧单裂纹及同侧单裂纹几种模式下应力强度因子的变化规律。计算结果表明,多椭圆孔边裂纹的应力强度因子受裂纹长度、椭圆孔口半轴比及孔间距的影响,随着邻近裂尖的逐渐接近,裂纹之间的干涉现象趋于显著。The aging aircraft fuselage skin contains multiple hole edge cracks,and the skin holes will change from circular holes to elliptical holes under loads.The calculation of stress intensity factors for multiple elliptical hole edge cracks is an important problem in a fracture mechanics analysis.An analytical calculation method based on a complex function theory and an approximate superposition method was used to solve the stress intensity factor of multiple elliptical hole edge cracks under the farfield stress,and the change rules of stress intensity factors under several modes of symmetric cracks at the edge of double elliptical holes,inner cracks at the edge of double elliptical holes,outer cracks at the edge of double elliptical holes and cracks on the same side of double elliptical holes were analyzed.The numerical examples show that the stress intensity factor of the crack at the edge of multiple elliptical holes is affected by the crack length,the half-axis ratio of elliptical holes and the spacing of holes.As the crack tip approaches gradually,the interference phenomenon between cracks tends to be significant.

关 键 词：多位置损伤 多椭圆孔边裂纹 应力强度因子 复变函数法 解析解 

分 类 号：TB12[理学—工程力学] V215.6[理学—力学]