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A Model Reduction Technique in Space and Time for Fatigue Simulation

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Multiscale Modeling of Heterogeneous Structures

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 86))

Abstract

The simulation of mechanical responses of structures subjected to cyclic loadings for a large number of cycles remains a challenge. The goal herein is to develop an innovative computational scheme for fatigue computations involving non-linear mechanical behaviour of materials, described by internal variables. The focus is on the Large Time Increment (LATIN) method coupled with a model reduction technique, the Proper Generalized Decomposition (PGD). Moreover, a multi-time scale approach is proposed for the simulation of fatigue involving large number of cycles. The quantities of interest are calculated only at particular pre-defined cycles called the “nodal cycles” and a suitable interpolation is used to estimate their evolution at the intermediate cycles. The proposed framework is exemplified for a structure subjected to cyclic loading, where damage is considered to be isotropic and micro-defect closure effects are taken into account. The combination of these techniques reduce the numerical cost drastically and allows to create virtual S-N curves for large number of cycles.

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Author information

Authors and Affiliations

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

    Mainak Bhattacharyya, Amélie Fau & Udo Nackenhorst

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

    David Néron & Pierre Ladevèze

Authors
  1. Mainak Bhattacharyya
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  2. Amélie Fau
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  3. Udo Nackenhorst
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  4. David Néron
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  5. Pierre Ladevèze
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Correspondence to Mainak Bhattacharyya .

Editor information

Editors and Affiliations

  1. University of Zagreb, Zagreb, Croatia

    Jurica Sorić

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

    Peter Wriggers

  3. LMT Cachan, Cachan, France

    Olivier Allix

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Bhattacharyya, M., Fau, A., Nackenhorst, U., Néron, D., Ladevèze, P. (2018). A Model Reduction Technique in Space and Time for Fatigue Simulation. In: Sorić, J., Wriggers, P., Allix, O. (eds) Multiscale Modeling of Heterogeneous Structures. Lecture Notes in Applied and Computational Mechanics, vol 86. Springer, Cham. https://doi.org/10.1007/978-3-319-65463-8_10

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  • DOI: https://doi.org/10.1007/978-3-319-65463-8_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65462-1

  • Online ISBN: 978-3-319-65463-8

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