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Non-intrusive and exact global/local techniques for structural problems with local plasticity

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Abstract

This paper introduces a computational strategy to solve structural problems featuring nonlinear phenomena that occur within a small area, while the rest of the structure retains a linear elastic behavior. Two finite element models are defined: a global linear model of the whole structure, and a local nonlinear “submodel” meant to replace the global model in the nonlinear area. An iterative coupling technique is then used to perform this replacement in an exact but non-intrusive way, which means the model data sets are never modified and the computations can be carried out with standard finite element software. Several ways of exchanging data between the models are discussed and their convergence properties are investigated on two examples.

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Authors and Affiliations

  1. LMT-Cachan (ENS Cachan/CNRS/UPMC/PRES UniverSud Paris), 61 av. du Président Wilson, 94235, Cachan Cedex, France

    Lionel Gendre, Olivier Allix & Pierre Gosselet

  2. Snecma, Rond-point René Ravaud, 77550, Moissy-Cramayel, France

    François Comte

Authors
  1. Lionel Gendre
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  2. Olivier Allix
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  3. Pierre Gosselet
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  4. François Comte
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Corresponding author

Correspondence to Lionel Gendre.

Additional information

This work is supported by Snecma and is part of the MAIA-MM1 research program.

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Gendre, L., Allix, O., Gosselet, P. et al. Non-intrusive and exact global/local techniques for structural problems with local plasticity. Comput Mech 44, 233–245 (2009). https://doi.org/10.1007/s00466-009-0372-9

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  • DOI: https://doi.org/10.1007/s00466-009-0372-9

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