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Global-Local non intrusive analysis with robin parameters: application to plastic hardening behavior and crack propagation in 2D and 3D structures

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Abstract

The global/local analysis allows to embed a specific local zone of interest with a different behaviour in a global coarse model. In this local model, fine meshes are usually used to model some structural details and potentially non-linear behaviours, such as plastic hardening and crack propagation. The standard global/local approach can be observed as a Dirichlet-Neumann iterative algorithm where a Dirichlet problem on the local model and a Neumann problem on the global one are solved successively. This paper proposes a new approach for the global/local framework as Robin parameters are considered on both local and global models to obtain more flexibility and improvement for convergence. Particularly, Robin parameters are obtained using a pre-defined strip of elements and the results are later improved by means of single-objective optimization, minimizing the number of iterations to achieve convergence. This improvement is illustrated for cracked domains and plastic hardening in 2D problems and 3D elements within a non-intrusive framework, allowing the usage of commercial finite element software along with open-source research finite element software.

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Acknowledgements

This work was partly funded by the international project ECOS-CONICYT C17E04 between LMT and Universidad de Talca, ANID/CONICYT grant number ECOS C17E04. In addition, this research was funded by ANID, grant number PFCHA / DOCTORADO BECAS CHILE / 2018 - 21181707 and BECA ESTUDIO DE DOCTORADO, UNIVERSIDAD DE TALCA

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Authors and Affiliations

  1. Building Management and Engineering Department, Universidad de Talca, Curicó, Chile

    Ignacio Fuenzalida-Henriquez

  2. Engineering Systems Doctoral Program, Universidad de Talca, Curicó, Chile

    Ignacio Fuenzalida-Henriquez & Emilio Castillo-Ibarra

  3. Institut Clément Ader, Université de Toulouse, CNRS UMR 5312, INSA / ISAE-SUPAERO / IMT-Mines Albi / UPS, Toulouse, France

    Paul Oumaziz

  4. Industrial Technologies Department, Universidad de Talca, Curicó, Chile

    Jorge Hinojosa

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  1. Ignacio Fuenzalida-Henriquez
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Correspondence to Jorge Hinojosa.

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This paper is an extended version of our paper published in 14th World Congress on Computational Mechanics (WCCM). doi:10.23967/wccm-eccomas.2020.159.

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Fuenzalida-Henriquez, I., Oumaziz, P., Castillo-Ibarra, E. et al. Global-Local non intrusive analysis with robin parameters: application to plastic hardening behavior and crack propagation in 2D and 3D structures. Comput Mech 69, 965–978 (2022). https://doi.org/10.1007/s00466-021-02124-z

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