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Closed-form analysis of interlaminar crack initiation in angle-ply laminates

机译：角层层压板层间裂纹启动的闭合形式分析

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摘要

The layerwise discontinuous stiffness properties in composite laminates may cause highly localized, singular concentrations of interlaminar stresses. These stress singularities occur in the vicinity of free edges and may induce interfacial cracks, often referred to as delaminations. Since conventional design processes, based on classical laminate plate theory, only consider inplane stress components, they do not cover the so-called free-edge effect and the associated delamination onset and, therefore, disregard premature laminate failure. In the present study, interlaminar crack initiation in symmetric angle-ply laminates under tensile loading is investigated assuming the spontaneous formation of delaminations of finite length. A coupled stress and energy criterion is used requiring only two fundamental material parameters, the strength and the fracture toughness. The mechanical behaviour of the laminate is modeled by a highly efficient analytical closed-form approach providing results for the interlaminar shear stress in the interface and the energy release rates of potential cracks. The challenge of unknown interface fracture toughness is addressed by a parameter fit within physically reasonable limits. The resulting effective failure loads are compared to experimental data and show the high potential of the coupled criterion on the one hand and of the proposed analytical model on the other hand.
机译：复合层压板中的层状不连续刚度特性可能导致高度局部的奇异浓度的层间应力。这些应力奇点发生在自由边缘附近，并且可以诱导界面裂缝，通常称为分层。由于传统的设计方法，基于经典层压板理论，只考虑完全应力成分，它们不覆盖所谓的自由边缘效应和相关的分层发作，因此无视过早的层压衰竭。在本研究中，假设有限长度的分层的自发形成，研究了在拉伸载荷下对称角度层层层的层间裂纹引发。使用耦合应力和能量标准，仅需要两个基本的材料参数，强度和断裂韧性。层压材料的力学行为通过高效的分析闭合形式的方法，为界面中的界面剪切应力和潜在裂缝的能量释放速率提供了结果。在物理上合理的限度内，参数适用于不明界面断裂韧性的挑战。将得到的有效的故障载荷与实验数据进行比较，另一方面显示了一方面耦合标准的高电位和另一方面提出的分析模型。

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