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On a Physics-Compatible Approach for Data-Driven Computational Mechanics

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Current Trends and Open Problems in Computational Mechanics

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Abstract

Within the framework of the thermodynamics of irreversible processes, one introduces a general vision of data-driven computational mechanics, adapted to history-dependent materials, through the concept of the “Experimental Constitutive Manifold” (ECM). The mathematical structure of the ECM, which involves internal state variables, constitutes the material model associated with the available experimental data. The hidden variables are not known a priori but are calculated from the experimental data thanks to the so-called “ECM-Central Problem”. This paper also tries to present recent advances in the data-driven computation approach. The potential applications are illustrated through the proposed new way to describe mathematically the material, where a priori assumptions on modelling are absent.

This paper is dedicated to Peter Wriggers for his 70th birthday. I first met Peter a long time ago and, frankly, I don’t remember when our friendship began. Peter is not only an internationally renowned scientist, but also a warm-hearted person who respects and cares for others. We have participated together in many conferences, committees and a number of courses and, most recently, in the IRTG doctoral student exchange program between the University of Hanover and ENS Paris-Saclay directed by him and Olivier Allix. We had a great time together, not only at work. I remember in particular a wine tasting in Udine with also Erwin Stein and Rolf Rannacher and also exceptional evenings with our wives in great restaurants in Paris.

Pierre Ladevèze.

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Authors and Affiliations

  1. LMT (ENS Paris-Saclay, CNRS, Université Paris-Saclay, Gif-sur-Yvette, France

    Pierre Ladevèze, Paul-William Gerbaud & David Néron

Authors
  1. Pierre Ladevèze
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  2. Paul-William Gerbaud
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  3. David Néron
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Corresponding author

Correspondence to Pierre Ladevèze .

Editor information

Editors and Affiliations

  1. Institute of Continuum Mechanics, Leibniz Universität Hannover, Garbsen, Germany

    Fadi Aldakheel

  2. Institute of Continuum Mechanics, Leibniz Universität Hannover, Garbsen, Germany

    Blaž Hudobivnik

  3. Institute of Continuum Mechanics, Leibniz Universität Hannover, Garbsen, Germany

    Meisam Soleimani

  4. Institute of Computational Modeling in Civil Engineering, Technical University of Braunschweig, Braunschweig, Germany

    Henning Wessels

  5. Institute of Materials Resource Management, University of Augsburg, Augsburg, Germany

    Christian Weißenfels

  6. Department of Civil Engineering and Computer Science, University of Rome Tor Vergata, Rome, Italy

    Michele Marino

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Ladevèze, P., Gerbaud, PW., Néron, D. (2022). On a Physics-Compatible Approach for Data-Driven Computational Mechanics. In: Aldakheel, F., Hudobivnik, B., Soleimani, M., Wessels, H., Weißenfels, C., Marino, M. (eds) Current Trends and Open Problems in Computational Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-87312-7_28

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  • DOI: https://doi.org/10.1007/978-3-030-87312-7_28

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  • Online ISBN: 978-3-030-87312-7

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