Title: An efficient multiscale concurrent design method using fitting function

Authors: Chen Yu; Qifu Wang; Chao Mei; Zhaohui Xia

Addresses: National Enterprise Information Software Engineering Research Center, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China ' National Enterprise Information Software Engineering Research Center, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China ' National Enterprise Information Software Engineering Research Center, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China ' National Enterprise Information Software Engineering Research Center, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China

Abstract: In this paper, a multiscale concurrent optimisation method is presented for the design of cellular structures. The purpose is to search the configurations and layouts of microstructures simultaneously. At the microscale, a family of graded microstructures (GMs) is obtained via reconstructing the level set function (LSF) and parallelly moving the cutting plane. Based on the gradient-varying mechanical properties, the fitting functions of elasticity tensors with respect to relative densities are established. The numerical homogenisation method is utilised to calculate the mechanical properties of sample points which are regarded as fitting parameters. For the multiscale scheme, the allocation of GMs is optimised by a material distribution method, while the configurations of microstructures are designed by an extended parameterised level set method (PLSM) which is inspired from the design thinking of the bi-directional evolutionary structural optimisation (BESO). Numerical examples demonstrate the effectiveness of the proposed method.

Keywords: multiscale concurrent; topology optimisation; reconstructing level set; cutting plane; fitting function; extended level set method.

DOI: 10.1504/IJMPT.2020.113192

International Journal of Materials and Product Technology, 2020 Vol.61 No.2/3/4, pp.202 - 227

Received: 05 Feb 2020
Accepted: 05 Sep 2020
Published online: 23 Feb 2021 *

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