正交异性复合材料板Ⅰ型三裂纹尖端场分析Crack-Tip Stress Analysis on Three Cracks of Orthotropic Composite Materials for Mode Ⅰ
王丽娟,张雪霞,韩桂花
摘要(Abstract)：
研究了正交异性复合材料板三裂纹的平面问题。通过复合材料断裂中的力学模型,将此问题归结为一类偏微分方程的边值问题,构造保角映射,将均匀分布三裂纹映射为复平面上的平行周期裂纹,通过引入适当的westergaard应力函数,采用复变函数方法和待定系数法对复合材料Ⅰ型平行周期裂纹尖端的应力场进行了力学分析。最后再利用该保角映射的逆变换,将平行周期裂纹尖端的应力场变换到原均匀分布三裂纹的应力场,得到了远场受均匀分布载荷作用下的应力场和位移场的解析解。研究结果为结构和材料的强度设计提供了有意义的参考。
关键词(KeyWords)： 正交异性板;均匀分布三裂纹;保角映射;westergaard应力函数;复变函数
基金项目(Foundation): 太原科技大学博士启动资金(20122005);; 太原科技大学研究生科技创新项目(20125027)
作者(Author): 王丽娟,张雪霞,韩桂花
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