Space Separation
Chapter
First Online:
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
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References
- 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.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.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.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.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.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.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.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
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