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Frankenstein’s data-driven computing approach to model-free mechanics

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Abstract

This paper proposes a data-driven method to predict mechanical responses for structures directly from full-field observations obtained on previously tested structures, with minimal introduction of arbitrary models. The fundamental concept is to directly use raw data, called patches from hereon, comprising displacement fields over large domains, obtained during data harvesting through full-field measurement. These displacement fields have been observed on domains of real structures, and hence are naturally viable solutions from static, kinematic, and constitutive viewpoint. We compile a library of such patches to compute response for new structures. Patches are assembled as pieces of a jigsaw puzzle, similar to how Frankenstein put his monster together from human patches. The approach is illustrated using a traditional beam problem for simplicity. However, the approach is not limited to beam or even solid mechanics, the concept can be applied to predict a wide range of physics and multi-physics phenomena.

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Acknowledgements

The authors acknowledge financial support received from King Abdullah University of Science and Technology (grant BAS/1/1315-01-01).

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Authors and Affiliations

  1. Mechanics of Composites for Energy and Mobility Laboratory, King Abdullah University of Science and Technology, 23955-6900, Thuwal, Mekkah, Saudi Arabia

    Bram van der Heijden, Yunteng Wang & Gilles Lubineau

  2. Physical Sciences and Engineering Division, King Abdullah University of Science and Technology, 23955-6900, Thuwal, Mekkah, Saudi Arabia

    Bram van der Heijden, Yunteng Wang & Gilles Lubineau

Authors
  1. Bram van der Heijden
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  2. Yunteng Wang
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  3. Gilles Lubineau
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Contributions

The research was performed by van der Heijden, who wrote the paper and made the required code. The research was performed under the supervision of Lubineau who defined the research direction and formulated the initial concept. Wang collaborated and created a two-dimensional implementation that was not used for this paper, although some of his concepts have been incorporated into the overall method.

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Correspondence to Gilles Lubineau.

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van der Heijden, B., Wang, Y. & Lubineau, G. Frankenstein’s data-driven computing approach to model-free mechanics. Comput Mech 71, 1269–1280 (2023). https://doi.org/10.1007/s00466-023-02307-w

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  • DOI: https://doi.org/10.1007/s00466-023-02307-w

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