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Multiscale topology optimization for coated structures with multifarious-microstructural infill

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Abstract

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.

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Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 51675196 and 51721092], Natural Science Foundation of Hubei Province [grant number 2019CFA059] and the Program for HUST Academic Frontier Youth Team [grant number 2017QYTD04].

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Authors and Affiliations

  1. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Sheng Chu, Liang Gao, Mi Xiao & Yan Zhang

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  1. Sheng Chu
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  2. Liang Gao
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  3. Mi Xiao
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  4. Yan Zhang
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Correspondence to Mi Xiao.

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On behalf of all authors, the corresponding author states that there is no conflict of interest.

Replication of results

The proposed method is based on several known techniques in the literature, e.g., PLSM and the ordered SIMP method, in order to achieve new type of structures. The implementation codes of these known techniques have been provided in the related references cited in this paper. The implementation of the proposed method has been introduced in detailed in this paper, making it easy to reproduce results. Besides, all the necessary data including the settings of parameters to reproduce the results reported here have been provided in Sect. 4.

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Chu, S., Gao, L., Xiao, M. et al. Multiscale topology optimization for coated structures with multifarious-microstructural infill. Struct Multidisc Optim 61, 1473–1494 (2020). https://doi.org/10.1007/s00158-019-02428-y

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