Multiscale topology optimization for coated structures with multifarious-microstructural infill

In engineering, cellular structures are often manufactured with coating for protection or to improve certain functionalities. This paper concentrates on the design of coated structures consisting of an exterior solid shell and an inner base part filled by multifarious microstructures, and a novel mu...

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Bibliographic Details
Published inStructural and multidisciplinary optimization Vol. 61; no. 4; pp. 1473 - 1494
Main Authors Chu, Sheng, Gao, Liang, Xiao, Mi, Zhang, Yan
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020
Springer Nature B.V
Subjects
Cellular structure
Coating
Computational Mathematics and Numerical Analysis
Engineering
Engineering Design
Interpolation
Microstructure
Multiscale analysis
Redevelopment
Research Paper
Sensitivity analysis
Spatial distribution
Theoretical and Applied Mechanics
Topology optimization
Multifarious-microstructural infill
Multiscale topology optimization
Coated structures
Level set
Ordered SIMP method
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Summary:In engineering, cellular structures are often manufactured with coating for protection or to improve certain functionalities. This paper concentrates on the design of coated structures consisting of an exterior solid shell and an inner base part filled by multifarious microstructures, and a novel multiscale topology optimization method is proposed. Firstly, a representation method and a material interpolation model are developed to describe a coated structure with multifarious-microstructural infill and define its properties, respectively. At macroscale, coating-base distribution is determined by the parametric level set method (PLSM) with re-initialization. To optimize structural performance at a computationally affordable cost, controllable kinds of microstructures are considered, and their spatial distribution over the whole base region is optimized by the ordered SIMP method with a threshold scheme. At microscale, the configurations of microstructures are generated by PLSM with the numerical homogenization method, in which the volume fraction limit values correspond to the design variables of the ordered SIMP method in macroscale. The compliance minimization problem subject to a material mass constraint is investigated, and sensitivity analysis is derived. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-019-02428-y