Volume 23, Issue 1 e202200153
Section 6
Open Access

A data-driven solver scheme for inelastic problems

Erik Prume

Corresponding Author

Erik Prume

Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

Erik Prume

Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

Email: [email protected]

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Laurent Stainier

Laurent Stainier

Institute of Civil and Mechanical Engineering, Ecole Centrale Nantes, 1 rue de la Noe, 44321 Nantes, France

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Michael Ortiz

Michael Ortiz

Hausdorff Center for Mathematics, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany

Division of Engineering and Applied Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA, 91125 USA

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Stefanie Reese

Stefanie Reese

Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

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First published: 31 May 2023
Citations: 1

Abstract

We review the data-driven computing paradigm for inelastic problems. We extend an efficient graph search algorithm for the data search by thermodynamic constraints and a rate independent history parametrization based on the mechanical work increment. In addition, we propose a strategy how to use commercial solvers in the framework. Finally, we demonstrate the proposed method with a numerical example featuring 2-d continuum plasticity.

Acknowledgments

All authors gratefully acknowledge the financial support of the Deutsche Forschungsgemeinschaft (DFG) and French Agence Nationale de la Recherche (ANR) through the project ”Direct Data-Driven Computational Mechanics for Anelastic Material Behaviours” (ANR-19-CE46-0012-01, RE 1057/47-1, project number 431386925) within the French-German Collaboration for Joint Projects in Natural, Life and Engineering (NLE) Sciences. Open access funding enabled and organized by Projekt DEAL.

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