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An efficient two-dimensional shear-lag model for the analysis of patched laminates

机译：一种有效的二维剪切滞后模型，用于分析修补的层压板

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摘要

Fiber patch placement (FPP) is a manufacturing technique for variable stiffness composites. In the FPP approach, a structural component is assembled from a multitude of discrete fiber patches, thus allowing for an easy tailoring of the layup to the local load state. However, due to the discontinuous fibers at the patch edges, complex stress distributions occur in patched laminates. To date, an efficient method for the analysis of patched laminates on macro-scale does not exist. This article introduces a 2D planar shear-lag model (SLM) based on thin-plate mechanics and a simplified interlaminar shear stress formulation. It is shown how the governing partial differential equation system is assembled and how boundary conditions are set. The model is solved numerically using the Finite Element Method. For verification the 2D SLM is compared to a full 3D linear-elastic solution. It can be shown that the SLM allows for accurate prediction of stress fields disturbed by interrupted fibers with considerably improved numerical efficiency. An application example shows that the SLM resolves the effects of discontinuities significantly better than a state-of-the-art shell element modeling approach. As a consequence, a substantial progress in the design of patch laminated structures is achieved.
机译：纤维贴片放置（FPP）是一种用于可变刚度复合材料的制造技术。在FPP方法中，结构组件是由大量离散的纤维块组装而成的，因此可以轻松地将铺层调整为局部载荷状态。但是，由于补片边缘处的纤维不连续，补片层压板中会出现复杂的应力分布。迄今为止，还没有一种用于在宏观尺度上分析修补的层压板的有效方法。本文介绍了基于薄板力学和简化的层间剪切应力公式的二维平面剪切滞后模型（SLM）。它显示了控制偏微分方程系统是如何组装的以及如何设置边界条件。使用有限元方法对模型进行数值求解。为了进行验证，将2D SLM与完整的3D线性弹性解决方案进行了比较。可以看出，SLM可以准确地预测受中断纤维干扰的应力场，并大大提高了数值效率。一个应用示例表明，与最先进的壳单元建模方法相比，SLM可以更好地解决不连续性的影响。结果，在贴片叠层结构的设计上实现了实质性的进步。

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