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A LATIN-based model reduction approach for the simulation of cycling damage

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Abstract

The objective of this article is to introduce a new method including model order reduction for the life prediction of structures subjected to cycling damage. Contrary to classical incremental schemes for damage computation, a non-incremental technique, the LATIN method, is used herein as a solution framework. This approach allows to introduce a PGD model reduction technique which leads to a drastic reduction of the computational cost. The proposed framework is exemplified for structures subjected to cyclic loading, where damage is considered to be isotropic and micro-defect closure effects are taken into account. A difficulty herein for the use of the LATIN method comes from the state laws which can not be transformed into linear relations through an internal variable transformation. A specific treatment of this issue is introduced in this work.

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Acknowledgements

The authors are grateful to the German Research Foundation (DFG) for funding the research through International Research Training Group 1627.

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Authors and Affiliations

  1. IBNM, Leibniz Universität Hannover, Appelstraße 9a, 30167, Hannover, Germany

    Mainak Bhattacharyya, Amelie Fau & Udo Nackenhorst

  2. LMT, ENS Paris-Saclay, CNRS, Université Paris-Saclay, 61 avenue du Président Wilson, 94235, Cachan, France

    Mainak Bhattacharyya, David Néron & Pierre Ladevèze

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  1. Mainak Bhattacharyya
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  2. Amelie Fau
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  3. Udo Nackenhorst
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Correspondence to Mainak Bhattacharyya.

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Bhattacharyya, M., Fau, A., Nackenhorst, U. et al. A LATIN-based model reduction approach for the simulation of cycling damage. Comput Mech 62, 725–743 (2018). https://doi.org/10.1007/s00466-017-1523-z

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