| 椭圆孔边裂纹对SH波的散射及其动应力强度因子 |
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| 引用本文： | 刘殿魁,陈志刚. 椭圆孔边裂纹对SH波的散射及其动应力强度因子[J]. 应用数学和力学, 2004, 25(9): 958-966 |
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| 作者姓名： | 刘殿魁 陈志刚 |
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| 作者单位： | 哈尔滨工程大学 建筑工程学院,哈尔滨 150001;2.暨南大学 土木工程系,广州 510632 |
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| 基金项目： | 国家自然科学基金资助项目(59578003) |
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| 摘 要： | 采用复变函数和Green函数方法求解具有任意有限长度的椭圆孔边上的径向裂纹对SH波的散射和裂纹尖端处的动应力强度因子．取含有半椭圆缺口的弹性半空间水平表面上任意一点承受时间谐和的出平面线源荷载作用时的位移解作为Green函数，采用裂纹“切割”方法,并根据连续条件建立起问题的定解积分方程，得到动应力强度因子的封闭解答．讨论了孔洞的存在对动应力强度因子的影响．
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| 关 键 词： | 孔边裂纹 SH波散射 Green函数 动应力强度因子(DSIF) 复变函数 积分方程 |
| 文章编号： | 1000-0887(2004)09-0958-09 |
| 收稿时间： | 2002-05-20 |
| 修稿时间： | 2002-05-20 |
Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor |
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| LIU Dian-kui,CHEN Zhi-gang. Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 958-966 |
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| Authors: | LIU Dian-kui CHEN Zhi-gang |
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| Affiliation: | School of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China; |
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| Abstract: | The method of complex function and the method of Green's function are used to investigate the problem of SH-wave scattering by radial cracks of any limited length along the radius originating at the boundary of an elliptical hole, and the solution of dynamic stress intensity factor at the crack tip was given. A Green's function was constructed for the problem, which is a basic solution of displacement field for an elastic half space containing a half elliptical gap impacted by anti-plane harmonic linear source force at any point of its horizontal boundary. With division of a crack technique, a series of integral equations can be established on the conditions of continuity and the solution of dynamic stress intensity factor can be obtained. The influence of an elliptical hole on the dynamic stress intensity factor at the crack tip was discussed. |
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| Keywords: | crack originating at elliptical hole SH-wave scattering Green's function dynamic stress intensity factor (DSIF) complex function integral equation |
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