| 任意多孔多裂纹有限大板的应力强度因子分析 |
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| 引用本文： | 郭树祥,许希武.任意多孔多裂纹有限大板的应力强度因子分析[J].固体力学学报,2005,26(3):351-358. |
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| 作者姓名： | 郭树祥 许希武 |
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| 作者单位： | 南京航空航天大学航空宇航学院结构强度研究所,南京,210016;南京航空航天大学航空宇航学院结构强度研究所,南京,210016 |
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| 基金项目： | 江苏省自然科学基金（BK99117）、教育部跨世纪优秀人才计划和教育部优秀年轻教师基金资助. |
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| 摘 要： | 采用各向异性体平面弹性理论中的复势方法，以Faber级数为工具，应用保角映射技术和最小二乘边界配点法，导出内边界条件精确满足，外边界条件近似满足的含多椭圆孔及裂纹群有限大板在任意载荷作用下的应力场、位移场的级数解，建立了任意多椭圆孔及裂纹群有限大板应力强度因子的有效分析方法，讨论了各参数对裂尖应力强度因子及孔边应力集中的影响．数值结果表明，该方法具有计算精度高、收敛速度快、方便快捷等优点，有利于全面系统地研究各参数对结构断裂性能的影响．
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| 关 键 词： | 裂纹群 应力强度因子 应力集中 复势方法 Faber级数 |
| 收稿时间： | 2004-08-10 |
| 修稿时间： | 2005-03-28 |
A STUDY ON THE STRESS INTENSITY FACTORS OF A FINITE PLATE WITH MULTIPLE ELLIPTICAL HOLES AND CRACKS |
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| Guo Shuxiang,Xu Xiwu.A STUDY ON THE STRESS INTENSITY FACTORS OF A FINITE PLATE WITH MULTIPLE ELLIPTICAL HOLES AND CRACKS[J].Acta Mechnica Solida Sinica,2005,26(3):351-358. |
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| Authors: | Guo Shuxiang Xu Xiwu |
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| Abstract: | Based on the complex potential method in the anisotropic plane theory of elasticity, the stress and displacement distributions in a finite plate containing multiple elliptical holes and cracks subjected to arbitrary loads are obtained by means of the Faber series expansion, conformal mapping and the least square boundary collocation technique. The stress intensity factors of crack tips are also obtained using the linear elastic fracture mechanics method. The effects of some parameters on the stress intensity factors and the stress concentration factors are studied in detail. Numerical results indicate that the present method has many advantages such as high accuracy, and good convergence, and is convenient for investigating effects of various parameters on the fracture characteristics of structures. |
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| Keywords: | multiple cracks the stress intensity factors stress concentration complex potential method Faber series |
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