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An efficient reduced simulation of residual stresses in composite forming processes

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Abstract

An efficient simulation of thermal and mechanical models involved in thermosetting composites forming needs to overcome some numerical difficulties related to: (i) the multi-scale behaviour; (ii) the complex geometries involved needing too many degrees of freedom; (iii) the large time intervals where the solution has to be computed; (iv) the non-linearity of the involved evolution equations; (v) the numerous couplings… In this work, an efficient strategy based on a separated representation is proposed. This method enables to avoid the use of an incremental strategy and can lead to impressive computing time savings especially when the model involves fine meshes and very small time steps. The local non-linear chemical kinetics and its coupling with the global heat balance equation are naturally introduced in the separated representation algorithm. Moreover, the dependence of the thermal conductivity and the specific heat on the temperature and on the reaction advancement degree are also taken into account. Knowing the history of the temperature field, the separated representation is again used to solve the thermo-mechanical problem in order to determine the residual stresses.

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Authors and Affiliations

  1. GeM, UMR CNRS 6183—Ecole Centrale de Nantes, 1 rue de la Noë, BP 92101, 44321, Nantes cedex 3, France

    Etienne Prulière, Julien Férec & Francisco Chinesta

  2. EADS Corporate Foundation International Chair on Advanced Modeling of Composite Forming Processes–GeM, Centrale Nantes, France

    Francisco Chinesta

  3. Laboratoire de Rhéologie, UMR 5520 CNRS-UJF-INPG, 1301 rue de la piscine, BP 53 Domaine universitaire, 38041, Grenoble Cedex 9, France

    Amine Ammar

Authors
  1. Etienne Prulière
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  2. Julien Férec
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  3. Francisco Chinesta
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  4. Amine Ammar
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Correspondence to Francisco Chinesta.

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Prulière, E., Férec, J., Chinesta, F. et al. An efficient reduced simulation of residual stresses in composite forming processes. Int J Mater Form 3 (Suppl 2), 1339–1350 (2010). https://doi.org/10.1007/s12289-009-0675-6

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  • DOI: https://doi.org/10.1007/s12289-009-0675-6

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