Hypersingularities in Three-Dimensional Crack Configurations in Composite Laminates
Hypersingularities in Three-Dimensional Crack Configurations in Composite Laminates
复制标题
复合材料层压板三维裂纹结构的超奇异性
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
W. Becker
中科院分区：
文献类型：
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作者：
S. Hell;W. Becker
与此同时，复合材料层合板也得到了广泛的应用，尤其是在航空航天工程中。层压板中的纤维间裂纹在实践中通常被认为仍然在故障容限之内，尽管这种情况的结构力学还没有完全被理解。当考虑相邻层间纤维间裂纹的相互作用时，情况变得更加复杂。本文采用尺度边界有限元方法研究了含纤维间裂纹的复合材料层合板的三维裂纹形态以及层合板自由边效应的影响。SBFEM是一种有效的半解析方法，可用于分析包括应力奇异性或无限域在内的线弹性问题。结果表明，在复合材料层合板的裂纹构型中，会出现所谓的超奇异性，即比经典裂纹奇异性高一阶的应力奇异性。这表明，由某些考虑的裂纹构型引起的层合板失效风险不可低估。
Composite laminates meanwhile are of common use, especially in aerospace engineering. Inter-fiber cracks within a laminate ply are often accepted in practice to be still within failure tolerance, although the structural mechanics of this situation is not fully understood. The situation gets even more complex when the interaction of inter-fiber cracks in neighboring plies is considered. In this work, such three-dimensional crack configurations in composite laminates involving inter-fiber cracks and the influence of the laminate free-edge effect are studied by means of the Scaled Boundary Finite Element Method (SBFEM). The SBFEM is an efficient semi-analytical method that permits the analysis of linear elasticity problems including stress singularities or infinite domains. It is shown that in crack configurations in composite laminates so-called hypersingularities (or supersingularities) can occur, i.e. stress singularities which are of higher order than the classical crack singularity. This indicates that the laminate failure risk induced by certain considered crack configurations is not to be underestimated.