摘要
本文运用一种特殊技巧将一个受均布压力作用的图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。
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.
出处
《上海力学》
CSCD
1997年第3期248-251,共4页
Chinese Quarterly Mechanics
基金
国家自然科学基金
关键词
均质
弹性体
裂纹
超奇异积分
封闭解
断裂
homogeneous elastic solid, penny crack, hypeisingular equation, Abel's integral, uni- form pressure, closed type solution.
