| 三维界面裂纹的奇性应力场和应力强度因子分析 |
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| 引用本文： | 陈梦成,高闯,汤任基.三维界面裂纹的奇性应力场和应力强度因子分析[J].固体力学学报,1999,20(1):8-15. |
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| 作者姓名： | 陈梦成 高闯 汤任基 |
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| 作者单位： | [1]华东交通大学土纱 [2]上海交通大学工程力学系 |
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| 基金项目： | 国家教委同济大学固体力学开放研究实验室基金,国家自然科学基金 |
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| 摘 要： | 使用有限部积分概念和极限方法得到了三维平片界面裂纹的超奇异积分－微分方程组后，进一步利用二维超奇异积分主部分析方法，对裂纹前沿的应力场作了理论分析，并获得了其奇性应力场和裂纹面位移间断表示复位应力强度因子的精确表达式，为三维平片界面裂纹的超奇异积分－微分方程组的求解建立了数值方法，并分析了界面椭圆平片裂纹问题，和现有解比较，所得数值结果令人满意。
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| 关 键 词： | 三维 平片 界面裂纹 奇性应力场 应力强度因子 |
A STUDY ON STRESS INTENSITY FACTORS AND SINGULAR STRESS FIELDS OF 3D INTERFACE CRACK |
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| Chen Mengcheng,Gao Chuang,Tang Renji.A STUDY ON STRESS INTENSITY FACTORS AND SINGULAR STRESS FIELDS OF 3D INTERFACE CRACK[J].Acta Mechnica Solida Sinica,1999,20(1):8-15. |
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| Authors: | Chen Mengcheng Gao Chuang Tang Renji |
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| Abstract: | By using the finite part integral concepts and limit technique, the hypersingular integrodifferential equations of 3D planar interface crack were obtained, then the dominant part analysis of 2D hypersingular integral was further used to investigate the stress fields near the crack front theoretically, and the accurate formulae were obtained for the singular stress fields and the complex stress intensity factors. After that, a numerical method is proposed to solve the hypersingular integrodifferential equations of 3D planar interface crack, and the problem of elliptical planar crack is then considered to show the application of the method. The obtained numerical results are satisfactory. |
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| Keywords: | D planar interface crack hypersingular integrodifferential equation numerical method |
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