A Reconstruction Approach for Concurrent Multiscale Topology Optimization Based on Direct FE[sup.2] Method

The rapid development of material science is increasing the demand for the multiscale design of materials. The concurrent multiscale topology optimization based on the Direct FE[sup.2] method can greatly improve computational efficiency, but it may lead to the checkerboard problem. In order to solve...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 11; no. 12
Main Authors: Zhao, Ang, Tan, Vincent Beng Chye, Li, Pei, Liu, Kui, Hu, Zhendong
Format: Journal Article
Language:English
Published: MDPI AG 01.06.2023
Subjects:
Algorithms
Analysis
Methods
Iran
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:The rapid development of material science is increasing the demand for the multiscale design of materials. The concurrent multiscale topology optimization based on the Direct FE[sup.2] method can greatly improve computational efficiency, but it may lead to the checkerboard problem. In order to solve the checkerboard problem and reconstruct the results of the Direct FE[sup.2] model, this paper proposes a filtering-based reconstruction method. This solution is of great significance for the practical application of multiscale topology optimization, as it not only solves the checkerboard problem but also provides the optimized full model based on interpolation. The filtering method effectively eliminates the checkerboard pattern in the results by smoothing the element densities. The reconstruction method restores the smoothness of the optimized structure by interpolating between the filtered densities. This method is highly effective in solving the checkerboard problem, as demonstrated in our numerical examples. The results show that the proposed algorithm produces feasible and stable results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11122779