Lightweight bioinspired structures are extremely interesting in industrial applications for their known advantages, especially when Additive Manufacturing technologies are used. Lattices are composed of axial elements called ligaments: several unit cells are repeated in three directions to form bodies. However, their inherent structure complexity leads to several problems when lattices need to be designed or numerically simulated. The computational power needed to capture the overall component is extremely high. For this reason, some alternative methodologies called homogenization methods were developed in the literature. However, following these approaches, the designers do not have a local visual overview of the lattice behavior, especially at the ligament level. For this reason, an alternative mono-dimensional (1D) modeling approach, called lattice-to-1D is proposed in this work. This method approximates the ligament element with its beam axis, uses the real material characteristics, and gives the cross-sectional information directly to the solver. Several linear elastic simulations, involving both stretching and bending dominated unit cells, are performed to compare this approach with other alternatives in the literature. The results show a comparable agreement of the 1D simulations compared with homogenization methods for real tridimensional (3D) objects, with a dramatic decrease of computational power needed for a 3D analysis of the whole body.

中文翻译：

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使用一维方法对基于体素的晶格进行结构分析


轻质仿生结构因其已知的优势而在工业应用中非常有趣，特别是在使用增材制造技术时。晶格由称为韧带的轴向元素组成：多个晶胞在三个方向上重复形成实体。然而，当需要设计或数值模拟晶格时，它们固有的结构复杂性会导致一些问题。捕获整个组件所需的计算能力非常高。因此，文献中开发了一些称为均质化方法的替代方法。然而，按照这些方法，设计者无法对晶格行为进行局部视觉概述，尤其是在韧带层面。因此，本工作提出了另一种单维 (1D) 建模方法，称为点阵到一维。该方法用其梁轴来近似韧带单元，使用真实的材料特性，并将横截面信息直接提供给求解器。进行了几次涉及拉伸和弯曲主导晶胞的线性弹性模拟，以将该方法与文献中的其他替代方法进行比较。结果表明，与真实三维 (3D) 物体的均质化方法相比，1D 模拟具有相当的一致性，并且全身 3D 分析所需的计算能力显着降低。