纤维束增强复合材料细观统计破坏理论

本文分别用剪滞模型和载荷几何局部分配法则分析了纤维束和束中纤维的载荷集中。在此基础上,利用裂纹临界核模型的统计方法,建立了小纤维束(须考虑纤维束的边界影响)和大纤维束增强复合材料的细观统计破坏准则,并用这两个准则研究了纤维束增强复合材料的断裂强度问题,所算得的强度和裂纹临界长度的合理性表明了这两个准则的正确性。

STATISTICAL FAILURE THEORY OF BUNDLE-REINFORCED COMPOSITES

The shear-lag model1] and the geometrical local load-sharing rule2] are applied for analysis of load concentrations of bundles and fibers in the paper. Based on these studies, the statistical microscopic criteria of failure of small-bundle-(the boundary effects of bundles must be taken into account in this case) and large-bundle-reinforced composites are established by using the method of the critical crack core model1,3,4] and used for investigation of failure and fracture of bundle-reinforced composites. The results of strengths and critical crack lengths are reasonable and correct, which shows correctness of the criteria.