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Structural and Multidisciplinary Optimization

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09-03-2020 | Research Paper

Multiscale topology optimization for non-uniform microstructures with hybrid cellular automata

Authors: Jiao Jia, Daicong Da, Cha-Liang Loh, Haibin Zhao, Sha Yin, Jun Xu

Published in: Structural and Multidisciplinary Optimization | Issue 2/2020

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Abstract

Based on hybrid cellular automata (HCA), we present a two-scale optimization model for heterogeneous structures with non-uniform porous cells at the microscopic scale. The method uses the K-means clustering algorithm to achieve locally nonperiodicity through easily obtained elemental strain energy. This energy is used again for a two-scale topological optimization procedure without sensitivity analysis, avoiding drastically the computational complexity. Both the experimental tests and numerical results illustrate a significant increase in the resulting structural stiffness with locally nonperiodicity, as compared to using uniform periodic cells. The effects of parameters such as clustering number and adopted method versus classical Optimality Criteria (OC) are discussed. Finally, the proposed methodology is extended to 3D two-scale heterogeneous structure design.

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Title: Multiscale topology optimization for non-uniform microstructures with hybrid cellular automata
Authors: Jiao Jia
Daicong Da
Cha-Liang Loh
Haibin Zhao
Sha Yin
Jun Xu
Publication date: 09-03-2020
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 2/2020
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-020-02533-3

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