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On fully stressed design and p-norm measures in structural optimization

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Abstract

This brief note revisits the fully stressed design schemes and p-norm measures used in stress-based structural optimization. Two simple shape optimization cases are used to remind the reader that fully stressed designs only are optimal when unimpeded by geometrical restrictions and that high values of the stress norm are needed in order to achieve satisfactory designs.

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Notes

  1. In this note, we discuss the minimization of stress with a volume constraint. However, all conclusions hold for the dual problem of minimizing volume subject to stress constraint as well.

  2. For numerical stability of the DSC method, each boundary node is only allowed to move within a certain range in each design iteration.

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Acknowledgements

The authors acknowledge the financial support from the research project “Sapere Aude TOpTEn” (Topology Optimization of Thermal ENergy systems) from the Danish Council for Independent Research, grant: DFF-4005-00320.

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Authors and Affiliations

  1. Shanghai Key Laboratory of Digital Manufacture for Thin-walled Structures, School of Mechanical Engineering, Shanghai Jiao Tong University, No. 800 DongChuan Rd., Shanghai, 200240, People’s Republic of China

    Mingdong Zhou

  2. Department of Mechanical Engineering, Technical University of Denmark, Building 404, Nils Koppels Alle, 2800, Kgs. Lyngby, Denmark

    Ole Sigmund

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  1. Mingdong Zhou
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  2. Ole Sigmund
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Correspondence to Ole Sigmund.

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Zhou, M., Sigmund, O. On fully stressed design and p-norm measures in structural optimization. Struct Multidisc Optim 56, 731–736 (2017). https://doi.org/10.1007/s00158-017-1731-3

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  • DOI: https://doi.org/10.1007/s00158-017-1731-3

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