Hierarchical Lattice Modeling Method with Gradient Functions

Abstract

Lattice structure materials have great application potential in biomedical, aerospace, and other fields. In fact, designing multilevel structure parametrically to achieve excellent mechanical performance is a challenging task. In this paper, a hierarchical lattice modeling method with gradient functions is proposed on the basis of the multilevel structural characteristics of organisms to solve the problem of the coexistence of high hardness, high strength, and high toughness. The multilevel body space is filled with matching lattices in accordance with the given dynamic parameters, and the design is optimized in accordance with the simulation results. Thus, the desired composite functional structure is generated. In fact, the proposed method is divided into two stages, that is, preprocessing and design. In the former stage, the interpolation method is used to establish a lattice unit model family retrieved by parameters, such as elastic modulus and impact toughness. In the latter stage, the multilevel 3D reconstruction model is initially filled with the gradient multilevel lattices through the global optimization technique with an isosurface modeling algorithm. The porosity, rod diameter, and other parameters of the lattice structure are regulated in accordance with the results of finite element analysis through image mapping, meeting the requirements of biomechanical characteristics. Our empirical evaluation and experimental results demonstrate that the proposed method can control the relationship between porous structure porosity, elastic modulus, and impact toughness and design bionic multispace microstructures close to biodental displacement and deformation.