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Projection-based two-phase minimum and maximum length scale control in topology optimization

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Abstract

Length scale control in topology optimization is an important area of research with direct implications on numerical stability and solution manufacturability. Projection-based algorithms for continuum topology optimization have received considerable attention in recent years due to their ability to control minimum length scale in a flexible and computationally efficient manner. In this paper, we propose a new projection-based algorithm that embeds minimum length scale control on two material phases (e.g., solid and void) as well as optional maximum length scale on one material phase (e.g., solid or void) into the projection methodology used for material distribution approaches to topology optimization. The proposed algorithms are demonstrated on benchmark problems and are shown to satisfy the length scale constraints imposed.

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Acknowledgements

The work was supported by the US National Science Foundation under Award Number 1400394. Any opinions, findings, and conclusions or recommendations expressed in this article are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

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  1. Josephine V. Carstensen

    Present address: Department of Civil and Environmental Engineering, Department of Architecture, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA, 02139, USA

Authors and Affiliations

  1. Department of Civil Engineering, Johns Hopkins University, 3400 N Charles St, Baltimore, MD, 21218, USA

    Josephine V. Carstensen & James K. Guest

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  1. Josephine V. Carstensen
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  2. James K. Guest
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Correspondence to Josephine V. Carstensen.

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Carstensen, J.V., Guest, J.K. Projection-based two-phase minimum and maximum length scale control in topology optimization. Struct Multidisc Optim 58, 1845–1860 (2018). https://doi.org/10.1007/s00158-018-2066-4

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  • DOI: https://doi.org/10.1007/s00158-018-2066-4

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