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Bi-material Topology Optimization Using Analysis Mesh-Independent Point-Wise Density Interpolation

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Abstract

This paper extends the independent point-wise density interpolation to the bi-material topology optimization to improve the structural static or dynamic properties. In contrast to the conventional elemental density-based topology optimization approaches, this method employs an analysis-mesh-separated material density field discretization model to describe the topology evolution of bi-material structures within the design domain. To be specific, the density design variable points can be freely positioned, independently of the field points used for discretization of the displacement field. By this means, a material interface description of relatively high quality can be achieved, even when unstructured finite element meshes and irregular-shaped elements are used in discretization of the analysis domain. Numerical examples, regarding the minimum static compliance design and the maximum fundamental eigen-frequency design, are presented to demonstrate the validity and applicability of the proposed formulation and numerical techniques. It is shown that this method is free of numerical difficulties such as checkerboard patterns and the “islanding” phenomenon.

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Acknowledgements

The financial support of the National Natural Science Foundation of China (11425207, U1508209) is gratefully acknowledged.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Xiaoyu Suo, Zhan Kang, Xiaopeng Zhang & Yaguang Wang

  2. The 41st Institute of the Sixth Academy of China Aerospace Science & Industry Corporation, Hohhot, 010010, China

    Xiaoyu Suo

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  1. Xiaoyu Suo
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  2. Zhan Kang
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  3. Xiaopeng Zhang
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  4. Yaguang Wang
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Correspondence to Zhan Kang.

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Suo, X., Kang, Z., Zhang, X. et al. Bi-material Topology Optimization Using Analysis Mesh-Independent Point-Wise Density Interpolation. Acta Mech. Solida Sin. 32, 698–712 (2019). https://doi.org/10.1007/s10338-019-00142-2

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  • DOI: https://doi.org/10.1007/s10338-019-00142-2

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