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Topology optimization of dynamic stress response reliability of continuum structures involving multi-phase materials

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Abstract

This paper proposes a methodology for maximizing dynamic stress response reliability of continuum structures involving multi-phase materials by using a bi-directional evolutionary structural optimization (BESO) method. The topology optimization model is built based on a material interpolation scheme with multiple materials. The objective function is to maximize the dynamic stress response reliability index subject to volume constraints on multi-phase materials. To solve the defined topology optimization problems, the sensitivity of the dynamic stress response reliability index with respect to the design variables is derived for iteratively updating the structural topology. Subsequently, an optimization procedure based on the BESO method is developed. Finally, a series of numerical examples of both 2D and 3D structures are presented to demonstrate the effectiveness of the proposed approach.

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Acknowledgements

This work was sponsored by the National Natural Science Foundation of China (11872311, 51228801) and the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University (ZZ2018099).

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Authors and Affiliations

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China

    Lei Zhao, Bin Xu & Yongsheng Han

  2. Centre for Innovative Structures and Materials, School of Engineering, RMIT University, GPO Box 2476, Melbourne, 3001, Australia

    Yi Min Xie

  3. XIE Archi-Structure Design (Shanghai) Co., Ltd., Shanghai, 200433, China

    Yi Min Xie

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  1. Lei Zhao
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  2. Bin Xu
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  3. Yongsheng Han
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  4. Yi Min Xie
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Correspondence to Bin Xu.

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Zhao, L., Xu, B., Han, Y. et al. Topology optimization of dynamic stress response reliability of continuum structures involving multi-phase materials. Struct Multidisc Optim 59, 851–876 (2019). https://doi.org/10.1007/s00158-018-2105-1

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  • DOI: https://doi.org/10.1007/s00158-018-2105-1

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