Wu Jun, Wang Weiming, Gao Xifeng
IEEE Trans Vis Comput Graph. 2021 Jan;27(1):43-56. doi: 10.1109/TVCG.2019.2938946. Epub 2020 Nov 24.
Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the principal stress directions and the boundary of the optimized shape. Our method consists of two major steps: the first optimizes concurrently the shape (including its topology) and the distribution of orthotropic lattice materials inside the shape to maximize stiffness under application-specific external loads; the second takes the optimized configuration (i.e., locally-defined orientation, porosity, and anisotropy) of lattice materials from the previous step, and extracts a globally consistent lattice structure by field-aligned parameterization. Our approach is robust and works for both 2D planar and 3D volumetric domains. Numerical results and physical verifications demonstrate remarkable structural properties of conforming lattice structures generated by our method.
受诸如松质骨等天然细胞材料的启发，晶格结构已被开发为一种新型轻质材料。在本文中，我们提出了一种新颖的方法来设计既符合主应力方向又符合优化形状边界的晶格结构。我们的方法包括两个主要步骤：第一步同时优化形状（包括其拓扑结构）以及形状内部正交各向异性晶格材料的分布，以在特定应用的外部载荷下使刚度最大化；第二步从前一步获取晶格材料的优化配置（即局部定义的方向、孔隙率和各向异性），并通过场对齐参数化提取全局一致的晶格结构。我们的方法很稳健，适用于二维平面和三维体积域。数值结果和物理验证表明了我们的方法生成的符合要求的晶格结构具有卓越的结构性能。
