Design and Optimization of Conforming Lattice Structures

• Published in: IEEE transactions on visualization and computer graphics Vol. 27; no. 1; pp. 43 - 56
• Main Authors: Wu, Jun, Wang, Weiming, Gao, Xifeng
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.01.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: 3D printing; Anisotropic magnetoresistance; Anisotropy; Cellular structure; Design optimization; homogenization; Lattice design; Lattice structures; Lattices; Optimization; Parameterization; Porosity; Robustness (mathematics); Shape; Stiffness; Stress; Three-dimensional displays; Three-dimensional printing; Topology; topology optimization
• ISSN: 1077-2626; 1941-0506; 1941-0506
• DOI: 10.1109/TVCG.2019.2938946

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.