Design Of Multifunctional Periodic Microstructural Materials Based On Topology Optimization

Lightweight porous microstructure materials with their excellent material properties are widely used in satellite antennas,electronic systems,aircraft,vehicles and military fields.Using the topology optimization method to design the geometric configuration of the material microstructure is a new way to realize the multi-functional properties of microstructure materials such as mechanics,thermal,electrical,magnetic,and acoustics.This article focuses on the accurate prediction of macroscopic material performance of porous micro-structured materials,the improvement of Bi-directional Evolutionary Structural Optimization(BESO)method and the development of a series of research work on the multifunctional design of porous periodic micro-structured materials.The specific contents are as follows:Based on the homogenization theory,establish the finite element format of the homogenization method of porous microstructure materials mechanics and thermal conductivity;derive the algebraic form of periodic boundary constraint equations and homogenization balance equations for 2D and 3D problems,simplify the realization process of homogenization;accurately predict the porous Macro-mechanical properties of micro-structured materials,and compare and verify the numerical results.In view of the problem of bidirectional progressive structural optimization topology method(BESO),there are problems of jagged topological boundaries and insufficient convergence stability.The shape function interpolation method is used to refine the boundary elements to obtain smooth topological boundaries while improving algorithm convergence and thus improvement.BESO method;in the case of the same design parameters,compared with other topology optimization methods in terms of optimization results,calculation efficiency,convergence,etc.,to further verify the effectiveness of the improved BESO method.Based on the improved BESO method,the maximum volume modulus and the shear modulus of the microstructure material are maximized as optimization goals,and a topological optimization model is established to maximize the stiffness design of the porous periodic microstructure material;the stiffness is maximized and the boundary is obtained Smooth microstructure topological configuration,andmicrostructure topological configuration was trial-produced by 3D printing technology.Finally,with the goal of maximum rigidity and best thermal insulation performance of porous micro-structured materials,a multi-objective topology optimization model of porous micro-structured materials was established,and the improved BESO method was adopted to develop the multi-functional performance design of porous micro-structured materials to obtain stiffness The topological configuration of the microstructure of the porous material with the largest and best thermal insulation provides an effective way for the functional design of artificial microstructure materials.