纤维增强复合材料圆柱型界面裂纹分析

以裂纹面上的位错函数为未知量将圆柱型界面裂纹问题化成一组奇异积分方程的求解问题．应用Ｍｕｓｋｈｅｌｉｓｈｖｉｌｉ的奇异积分方程理论，分析了圆柱型界面裂纹尖端应力场．针对裂纹尖端分别存在和不存在接触区两种情况，确定了裂纹尖端应力场的奇异性．利用数值方法计算了圆柱型界面裂纹尖端接触区尺寸对剪应力强度因子的影响．

A CYLINDRICAL INTERFACE CRACK IN FIBER REINFORCED COMPOSITES

The problem of a cylindrical interface crack is reduced to a system of singular integral equations with the aid of two unknown dislocation functions at the interface crack surface. By using Muskhelishvili theory of singular integral equations, the interface stress field at the tips of the composites cylindrical interface is worked out. The stress singularity at the interface crack tips is determined in which two cases are considered, i.e. non contact zone model and contact zone model at the crack tips. The variation of the shear stress intensity factor with the length of the contact zone at the crack tips is calculated via the numerical technique of the singular integral equations.