Design and Optimization of Conforming Lattice Structures

Abstract

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.

14 pages

References in corpus (5)

• Infill Optimization for Additive Manufacturing -- Approaching Bone-like Porous Structures
• Lightweight Structure Design Under Force Location Uncertainty
• Designing Volumetric Truss Structures
• Two-Scale Topology Optimization with Microstructures
• CrossFill: Foam Structures with Graded Density for Continuous Material Extrusion

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• Hex-Mesh Generation and Processing: a Survey
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• Topology Optimization of Graded Truss Lattices Based on On-the-Fly Homogenization
• Cellular Topology Optimization on Differentiable Voronoi Diagrams
• Stress Topology Analysis for Porous Infill Optimization
• Synthesis of Frame Field-Aligned Multi-Laminar Structures
• 3D-TSV: The 3D Trajectory-based Stress Visualizer
• Fit2Form: 3D Generative Model for Robot Gripper Form Design
• Design and Optimization of Functionally-graded Triangular Lattices for Multiple Loading Conditions
• SGLDBench: A Benchmark Suite for Stress-Guided Lightweight 3D Designs
• On speeding up an asymptotic-analysis-based homogenisation scheme for designing gradient porous structured materials using a zoning strategy
• Diffusion Structures for Architectural Stripe Pattern Generation
• Towards Optimal Heterogeneity in Lattice Structures