复合材料层合板的奇异应力场分析

本文根据特征值与特征函数展开理论,用极其简单的矩阵形式,对纤维增强复合材料层合板中各种断裂模型的界面裂纹奇异性问题进行了一系列的理论推导。计算了各种情况下的应力奇异性值,提出了具有一般奇异性的扇形奇异裂纹单元。最后,分析了复合材料中的边界层效应、层面离层、层板横裂等情况的奇异应力场。计算结果表明,本文的方法是行之有效的。

The Singular Stress Fields in Composite Laminates

In this paper, in accordance with eigenvalue and eigenfunction expansion, using very simple forms of matrixes, in multilayer fiber-reinforced composite laminates, we derive a series of formulas on the interface crack singular problems of several fracture models, and calculate the stress singular orders of each model. The general singular sector crack tip element is proposed. Finally, the singular stress fields of boundary-layer effect, layer interface crack, lateral cracked laminates in composites are analyzed. The results show that this presented method is more available.