Topology optimization for the design of microstructure base on parameterized level set method
Received:May 15, 2021  Revised:June 22, 2021
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DOI:10.7511/jslx20210515408
KeyWord:topology optimization  material design  level set method  homogenization method
           
AuthorInstitution
魏鹏 华南理工大学 土木与交通学院, 亚热带建筑科学国家重点实验室, 广州 ;华南理工大学 广东省高分子先进制造技术及装备重点实验室, 广州
范海坚 华南理工大学 土木与交通学院, 亚热带建筑科学国家重点实验室, 广州
李雪平 华南理工大学 土木与交通学院, 亚热带建筑科学国家重点实验室, 广州
苏成 华南理工大学 土木与交通学院, 亚热带建筑科学国家重点实验室, 广州
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Abstract:
      Compared with solid materials, composite materials have the advantages of lightweight and high strength. Topology optimization is one of the methods to design composite materials. In this study, an improved parameterized level set method is adopted, the level set iterative scheme is updated, and the level set band method is used to introduce intermediate density in the optimization process, so that the level set method and the variable density method are seamlessly combined to improve the capability of topology change of the level set method and alleviate its initial design dependence. In this paper, maximizing bulk modulus, shear modulus, and negative Poisson's ratio are taken as the material design objectives. The homogenization method is used to predict the macro-equivalent properties of the material. The results with different volume fractions and various initial designs are compared, and the use of the level set band method are studied. A variety of microstructure topological forms for different objective functions have been obtained. Numerical examples verify the effectiveness of this method for material design problems.