Space Separation

Chapter
Part of the ESAFORM Bookseries on Material Forming book series (EBMF)

Abstract

The solution of 3D models in degenerated geometries in which some characteristic dimensions are much lower than the other ones—e.g. beams, plates or shells—is a tricky issue when using standard mesh-based discretization techniques.

Keywords

Separate Representation Resin Layer Brinkman Model Plate Domain Weak Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    F. Chinesta, A. Ammar, A. Leygue, R. Keunings, An overview of the proper generalized decomposition with applications in computational rheology. J. Nonnewton. Fluid Mech. 166, 578–592 (2011)CrossRefMATHGoogle Scholar
  2. 2.
    Ch. Ghnatios, F. Chinesta, Ch. Binetruy, The squeeze flow of composite laminates. Int. J. Mater. Form. (2013). doi:  10.1007/s12289-013-1149-4
  3. 3.
    A. Leygue, F. Chinesta, M. Beringhier, T.L. Nguyen, J.C. Grandidier, F. Pasavento, B. Schrefler, Towards a framework for non-linear thermal models in shell domains. Int. J. Numer. Meth. Heat Fluid Flow 23(1), 55–73 (2013)CrossRefGoogle Scholar
  4. 4.
    F. Chinesta, A. Leygue, B. Bognet, Ch. Ghnatios, F. Poulhaon, F. Bordeu, A. Barasinski, A. Poitou, S. Chatel, S. Maison-Le-Poec, First steps towards an advanced simulation of composites manufacturing by automated tape placement. Int. J. Mater. Form. doi: 10.1007/s12289-012-1112-9
  5. 5.
    B. Bognet, A. Leygue, F. Chinesta, A. Poitou, F. Bordeu, Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity. Comput. Methods Appl. Mech. Eng. 201, 1–12 (2012)Google Scholar
  6. 6.
    B. Bognet, A. Leygue, F. Chinesta, On the fully 3D simulation of thermoelastic models defined in plate geometries. Eur. J. Comput. Mech 21(1–2), 40–51 (2012)Google Scholar
  7. 7.
    B. Bognet, A. Leygue, F. Chinesta, Separated representations of 3D elastic solutions in shell geometries. Adv. Model. Simul. Eng. Sci. (2014). doi:  10.1186/2213-7467-1-4
  8. 8.
    A. Ammar, F. Chinesta, E. Cueto, Coupling finite elements and proper generalized decomposition. Int. J. Multiscale Comput. Eng. 9/1, 17–33 (2011)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.UMR CNRSEcole Centrale de NantesNantesFrance
  2. 2.Aragon Institute of Engineering ResearchUniversidad de ZaragozaZaragozaSpain

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