| 无限均质弹性体中圆片裂纹受均布载荷时的超奇异积分方程封闭解 |
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| 引用本文： | 陈梦成 汤任基. 无限均质弹性体中圆片裂纹受均布载荷时的超奇异积分方程封闭解[J]. 力学季刊, 1997, 18(3): 248-251 |
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| 作者姓名： | 陈梦成 汤任基 |
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| 作者单位： | 上海交通大学，上海交通大学 上海 200030，上海 200030 |
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| 摘 要： | 本文运用一种特殊技巧将一个受均布压力作用的圆片裂纹超奇异积分方程化为Ａｂｅｌ积分形式，从而可获得超奇异积分方程中未知位移间断的封闭解。再利用这个封闭解和应力强度因子的定义，得到了一个无限弹性体中受均布载荷分布时圆片裂纹前沿Ｉ型应力强度因子的精确表达式。所得到的结果与现有解完全相同。
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| 关 键 词： | 均质 弹性体 裂纹 超奇异积分 封闭解 断裂 |
A CLOSED TYPE SOLUTION OF HYPERSINGULAR INTEGRAL EQUATION FOR A PENNY CRACK SUBJECTED TO UNIFORM PRESSURE IN AN INFINITE HOMOGENEOUS ELASTIC SOLID |
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| Chen Mengcheng Tang Renji. A CLOSED TYPE SOLUTION OF HYPERSINGULAR INTEGRAL EQUATION FOR A PENNY CRACK SUBJECTED TO UNIFORM PRESSURE IN AN INFINITE HOMOGENEOUS ELASTIC SOLID[J]. Chinese Quarterly Mechanics, 1997, 18(3): 248-251 |
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| Authors: | Chen Mengcheng Tang Renji |
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| Affiliation: | Shanghai Jiao Tong University |
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| Abstract: | In this paper, a hypersingular equation for a penny crack subjected to uniform pressure is transformed into an Abel's integral using a special technique which process gives rise to a closed type solution of the unknown displacement difference in the hypersingular integral equation. With this solution, an exact expression of mode I stress intensity factor near the front edge of the penny crack subjected to uniform pressure in an infinite elastic solid is obtained. Results of analysis agree with other available solutions. |
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| Keywords: | homogeneous elastic solid penny crack hypeisingular equation Abel's integral uni- form pressure closed type solution. |
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