纤维端部的界面裂纹分析

基于弹性力学空间轴对称问题的通解，研究了短纤维增强复合材料中纤维端部的轴对称币形和柱形界面裂纹尖端的应力奇异性，得到了裂纹尖端附近的奇异应力场．研究结果表明，这两种轴对称界面裂纹尖端的应力奇异性相同，并且与平面应变状态下相应模型的应力奇异性一致，材料性能对裂纹尖端附近奇异应力场的影响可用三个组合参数描述

ANALYSIS OF INTERFACE CRACKS AT A FIBER END 1)

Based on the general solution of the elastic spatial axisymmetric problem, the stress singularities at the tips of the axisymmetric coin and cylindrical interface cracks at a fiber end in short fiber reinforced composites are analyzed and singular stress fields near the tips of the interface cracks are obtained. The results in this paper show that the stress singularities of the axisymmetric coin and cylindrical interface cracks at a fiber end are the same and they coincide with those of the corresponding cases in the plane strain problem. The stress singularities depend on two Dnudurs composite parameters, but the singular stress fields near the tips of the interface cracks need three composite parameters of dissimilar materials to describe the effect of the material properties. Generally, the eigenvalue is not equal to 0.5, i.e. the stress singularities at the tips of these two interface cracks are not r 0.5 . When the eigenvalue is single and real, the singular stress fields are the one parameter fields. When the eigenvalue is complex, they have two stress intensity coefficients and there is the oscillating stress singularity.