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Fail-safe topology optimization considering fatigue

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Abstract

This paper proposes an efficient fail-safe approach considering fatigue. The method extends classical fail-safe optimization to the fatigue field in the framework of the solid isotropic material with penalization (SIMP) method. The material properties of the failure model are interpolated by using the equivalent fatigue von Mises stress. The worst-case compliance is considered to minimize as the optimization objective, using the Kreisselmeier–Steinhauser (KS) function to approximate the non-differentiable max-operator. The fatigue sensitivity is derived by the adjoint method, and a general fail-safe optimality criteria (FS-OC) method is developed to update design variables. Finally, the effectiveness of this method for fail-safe optimization is verified by several numerical examples with acceptable computational efficiency.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 11217020530) and the National Key Research and Development Program of China (No. 2020YFA0713604). The authors thank the anonymous reviewers for their helpful comments and suggestions.

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, People’s Republic of China

    Tong Zhao, Yong Zhang, Yangwei Ou, Wei Ding & Fei Cheng

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  1. Tong Zhao
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  2. Yong Zhang
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  3. Yangwei Ou
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  4. Wei Ding
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  5. Fei Cheng
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Correspondence to Fei Cheng.

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Zhao, T., Zhang, Y., Ou, Y. et al. Fail-safe topology optimization considering fatigue. Struct Multidisc Optim 66, 132 (2023). https://doi.org/10.1007/s00158-023-03588-8

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