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Published May 2023 | Published
Journal Article Open

A data‐driven solver scheme for inelastic problems

  • 1. ROR icon California Institute of Technology

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.

Copyright and License

© 2023 The Authors. Proceedings in Applied Mathematics & Mechanics published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

Acknowledgement

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.

Additional Information

Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Files

Proc Appl Math and Mech - 2023 - Prume - A data‐driven solver scheme for inelastic problems.pdf

Additional details

Created:
December 18, 2023
Modified:
December 18, 2023