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界面周期刚性线夹杂附近的纵向剪应力
Longitudinal Shear Stress around Collinear Periodical Rigid Line Inclusions Between Dissimilar Materials
【摘要】 研究了不同材料界面含周期刚性线夹杂的纵向剪切问题 .利用复变函数方法 ,获得了封闭形式解 ,并用于计算了刚性线端的应力奇异因子 ,研究了刚性线之间的应力干涉问题及刚性线夹杂场量的尺度效应 .从解答的特殊情形 ,可导出一条界面刚性线问题及均质材料中共线周期刚性线问题的解答 .
【Abstract】 Longitudinal shear problems of collinear periodical rigid line inclusions at the interface of dissimilar materials were dealt with. By using complex variable method, a closed form solution was derived. On the above basis, stress singularity factor near the rigid line end was derived, stress interaction among rigid lines and the size effect of the rigid line inclusions were also examined. As a special case of the present problem, solutions for an interface rigid line and for collinear periodical rigid lines in a homogeneous material can be obtained.
【关键词】 周期;
剪切;
复变函数;
界面刚性线夹杂;
应力奇异因子;
【Key words】 period; shear; functions of complex variable; interface rigid line inclusion; stress singularity factor;
【Key words】 period; shear; functions of complex variable; interface rigid line inclusion; stress singularity factor;
【基金】 国家自然科学基金资助项目 (10 2 72 0 0 9)
- 【文献出处】 北京航空航天大学学报 ,Journal of Beijing University of Aeronautics and Astronautics , 编辑部邮箱 ,2003年03期
- 【分类号】O346.1
- 【被引频次】2
- 【下载频次】47