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LatticeOPT: a heuristic topology optimization framework for thin-walled, 2D extruded lattices

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Abstract

This paper introduces a purely heuristic topology optimization framework to improve specific energy absorption for thin-walled, extruded lattice structures. The framework optimizes the lattice cross section design by iteratively updating the lattice wall thicknesses. The main novelty of the work is the two novel thickness update schemes we proposed. The first update scheme is a direct statement of homogenization of wall-wise specific energy absorption, while the other scheme is based on the homogenization of a wall-wise sensitivity parameter inspired by the bi-directional evolutionary structural optimization method. Both schemes are based on the central idea of homogenization of certain field variables, which has been widely employed in previous optimization frameworks for thin-walled structures. The proposed framework has high potential because it can work directly with commercial finite element packages, and only requires information on the energy absorption of each element. Without the need for the finite element stiffness matrix, this framework can be used with explicit dynamics simulations to treat highly nonlinear problems. Three numerical examples are presented: (1) optimization of a column under axial compression, (2) optimization of a lattice-reinforced beam under dynamic three-point bending, and (3) optimization of a lattice-filled sandwich panel under blast loading. The results show that the framework can effectively increase specific energy absorption with as few as 25 nonlinear finite element simulations.

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Acknowledgements

We (I. J.) acknowledge the support of the Army Research Office contract (No. W 911NF-18-2-0067) and the National Science Foundation Grant (MOMS-1926353).

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Authors and Affiliations

  1. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Champaign, IL, USA

    Junyan He, Shashank Kushwaha & Iwona Jasiuk

  2. National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Champaign, IL, USA

    Diab Abueidda

Authors
  1. Junyan He
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  2. Shashank Kushwaha
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  3. Diab Abueidda
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  4. Iwona Jasiuk
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Contributions

JH: conceptualization, methodology, software, formal analysis, investigation, data curation, writing—original draft. SK: methodology, investigation, writing—original draft. DA: supervision, writing—review and editing. IJ: supervision, resources, writing—review and editing, funding acquisition.

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Correspondence to Iwona Jasiuk.

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Replication of results

The data and source code that support the findings of this study can be found at: https://github.com/Jasiuk-Research-Group/LatticeOPT.

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Responsible Editor: Makoto Ohsaki

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He, J., Kushwaha, S., Abueidda, D. et al. LatticeOPT: a heuristic topology optimization framework for thin-walled, 2D extruded lattices. Struct Multidisc Optim 65, 308 (2022). https://doi.org/10.1007/s00158-022-03397-5

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  • DOI: https://doi.org/10.1007/s00158-022-03397-5

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