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A study on fail-safe topological design of continuum structures with stress concentration alleviation

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Abstract

The design philosophy of fail-safe structures was first proposed in the aerospace industry to provide redundant load paths as back-ups when local damage happens. Most fail-safe topology optimization methods paid more attention to minimizing compliance of the worst failure case. However, the stress concentration due to local failure may lead to secondary damage and further destroy the structure. In the current work, the von Mises stress of damaged structures is considered as the optimization objective, to alleviate the stress concentration caused by possible local failures. Two sorts of topology optimization objectives are investigated: (1) the worst-case formulation; (2) the mean-performance formulation. To avoid the ‘singularity’ problem, the stress is penalized through the RAMP interpolation scheme. The Kreisselmeier-Steinhauser (KS) aggregation function is used to approximate the global stress level. Concerning the highly nonlinear stress behavior, the Method of Moving Asymptotes (MMA) solver is adopted. Finally, the benefits and drawbacks of these two objective functions are systematically compared and discussed through several numerical examples.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No.11672104, 11902085, 12172095), the Key Program of National Natural Science Foundation of China (No. 11832009), and the Chair Professor of Lotus Scholars Program in Hunan province (No. XJT2015408). In addition, we would like to express our sincere thanks to professor Krister Svanberg for providing the implementation of MMA method.

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Authors and Affiliations

  1. Center for Research On Leading Technology of Special Equipment, School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou, 510006, People’s Republic of China

    Hongxin Wang, Jie Liu & Guilin Wen

  2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Guilin Wen

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  1. Hongxin Wang
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  2. Jie Liu
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  3. Guilin Wen
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Correspondence to Guilin Wen.

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Wang, H., Liu, J. & Wen, G. A study on fail-safe topological design of continuum structures with stress concentration alleviation. Struct Multidisc Optim 65, 174 (2022). https://doi.org/10.1007/s00158-022-03259-0

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  • DOI: https://doi.org/10.1007/s00158-022-03259-0

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