Design of 3D anisotropic Voronoi porous structure driven by stress field

Abstract

Porous structures exhibit excellent mechanical properties and are widely utilized in engineering design. However, there is still substantial potential for enhancing the mechanical performance of these structure. By customizing the anisotropic design of each pore in the porous structure, the strength and stiffness of the structure can be significantly enhanced. In this work, we present a novel method for designing 3D anisotropic Voronoi porous structures (AVPSs). To construct these structures, we propose a novel algorithm for generating 3D anisotropic Voronoi diagrams (AVDs) based on Riemannian distance. The geometries of Voronoi cells are controlled to conform with both the stress distribution and the principal stress directions. The distribution of Voronoi cells are graded using a stress-based site sampling strategy, the orientation of Voronoi cells are modified by introducing stress-mapped Riemann tensor fields. The AVPSs are then modeled by computing implicit surfaces based on AVDs. The AVPSs conform closely to the geometric profile of the input model by clipping AVDs using the tetrahedral mesh. Furthermore, the results obtained from numerical simulations and experimental tests indicate that the AVPSs possess both high strength and high stiffness.