| Citation: | LU H B，CAI Y J，LI S. Optimization method of thermo-elastic lattice structure based on surrogate models of microstructures[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（12）：3432-3444 （in Chinese） doi: 10.13700/j.bh.1001-5965.2022.0155
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Lattice material is a new type of lightweight and multifunctional material, which has a variety of microstructures and high porosity. Excellent macroscopic properties can be obtained by designing its mesoscale features. To maximize the design potential of materials and structures, an optimization method for the thermo-elastic lattice structure is proposed. As for mesoscale material research, the effective thermo-elastic properties prediction of three-dimensional lattice materials is implemented. Relevant coefficients are solved using the idea of the representative volume method under periodic boundary conditions. Surrogate models are constructed to build the relationship between macroscopic responses and microstructures, and are proved to have good accuracy through error verification tests. As for macroscale material research, a structural optimization model filled with equivalent materials is established. Considering the thermal and mechanical loads, a mathematical model for structural optimization of thermo-elastic lattice structure with minimum strain energy is proposed using the surrogate models of effective properties as the material interpolation schemes. The result of an optimal spatially varying metamaterial is obtained in a typical three-dimensional structure example, and the thermal stiffness of the structure is improved under a certain volume constraint, demonstrating the effectiveness of the optimization method.
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