Additive manufacturing for fibre-reinforced composite structures is rapidly diffusing, since it enables the production of lightweight structural parts characterized by complex geometries and tailored fibre orientations. Therefore, the development of design methodologies capable to simultaneously optimize the shape of the fibre-reinforced composite part and the fibre orientation in the additive manufacturing process is, at present, of utmost interest among industries and research centres. In this paper, a novel simultaneous optimisation method capable to optimise the topology and the local fibre orientation is proposed. The method is computationally cheap, fast convergent and permits to avoid stress peaks, working efficiently on 2D and on 3D models. The analytical formulation of the problem and the optimisation algorithm are at first described. The optimisation criteria are based on the uniform strain energy density distribution and the fibre alignement along the principal stress direction. The proposed method is then verified with several benchmarks from the literature and with a 3D illustrative example, confirming that it can be effectively and efficiently employed for the optimisation of composite components to be produced through additive manufacturing.

中文翻译：

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拓扑和纤维取向同时优化：纤维增强复合材料部件的设计方法

纤维增强复合材料结构的增材制造正在迅速普及，因为它能够生产具有复杂几何形状和定制纤维取向的轻型结构部件。因此，开发能够同时优化纤维增强复合材料部件的形状和增材制造过程中的纤维取向的设计方法是目前工业和研究中心最感兴趣的。在本文中，提出了一种能够优化拓扑和局部纤维取向的新型同时优化方法。该方法计算成本低，收敛速度快，可以避免应力峰值，在 2D 和 3D 模型上有效工作。首先描述问题的解析公式和优化算法。优化标准基于均匀的应变能密度分布和沿主应力方向的纤维排列。然后使用文献中的几个基准和 3D 说明性示例验证所提出的方法，确认它可以有效和高效地用于优化通过增材制造生产的复合材料部件。