Cette Note présente une méthode pour la mise en forme des composites par drapage. On propose une nouvelle approche géométrique reposant sur la méthode du filet dans laquelle une maille élémentaire du tissu ne peut subir que des déformations en cisaillement. Une telle maille est alors définie par un quadrangle courbe dont les côtés représentent des géodésiques de même longueur tracées sur la surface à draper. On propose un algorithme d'optimisation permettant de définir à partir de la donnnée de trois sommets de la maille tracée sur la surface, son quatrième sommet. Etant donnés un sommet initial d'impact entre le tissu et la surface et les directions initiales des fibres du tissu en ce sommet, l'algorithme permet de draper de proche en proche la surface. Un exemple numérique de simulation de drapage d'une pièce mécanique est donné.
This paper presents a study devoted to the composite fabric shaping simulation in finite strain analysis. We introduce a new geometrical approach based on the fishnet method for which the deformation of a fabric mesh element consists in a pure trellis effect. Such a fabric mesh element is then defined by a curved quadrilateral whose edges are geodesic lines with the same length plotted onto the surface to drape. Given three vertices of the fabric mesh element on the surface, we propose an optimization algorithm to define the fourth vertex of the fabric mesh element. This algorithm allows us to drape the surface using an advancing front approach from the data of an initial impact point between the fabric and the surface and the initial fibre directions at this point. A numerical draping simulation example using this approach is given.
Accepté le :
Publié le :
Keywords: Solids and structures, Draping simulation, Geometrical draping, Composite fabric, Fishnet algorithm, Geodesic
Houman Borouchaki 1 ; Abdelhakim Cherouat 1
@article{CRMECA_2003__331_6_437_0,
author = {Houman Borouchaki and Abdelhakim Cherouat},
title = {Drapage g\'eom\'etrique des composites},
journal = {Comptes Rendus. M\'ecanique},
pages = {437--442},
publisher = {Elsevier},
volume = {331},
number = {6},
year = {2003},
doi = {10.1016/S1631-0721(03)00087-1},
language = {fr},
}
Houman Borouchaki; Abdelhakim Cherouat. Drapage géométrique des composites. Comptes Rendus. Mécanique, Volume 331 (2003) no. 6, pp. 437-442. doi : 10.1016/S1631-0721(03)00087-1. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00087-1/
[1] Numerical behaviour of prepreg woven fabric for the simulation of shaping deformation, The 4th Int. Conf. and Workshop on Numerical Simulation of 3D sheet Forming Processes, Vol. 1, Proceeding of Numesheet99, Besançon, France, 1999, pp. 567-572
[2] Fitting woven fabric to surfaces in three dimensions, J. Text. Inst., Volume 2 (1988), pp. 250-263
[3] Applications of computer aided geometric modelling for textile structural composites (W.P. DeWilde; W.R. Blain, eds.), Composite Materials Design and Analysis, Springer-Verlag, Berlin, 1990, pp. 127-142
[4] Algorithms for draping fabrics on doubly-curved surfaces, Int. J. Numer. Methods Engrg., Volume 31 (1991), pp. 1415-1426
[5] Maillage géométrique de surfaces, Revue européenne des éléments finis, Volume 8 (1999) no. 1, pp. 47-75
- Analysis of woven fabrics forming through a comparison between discrete elastic and hypoelastic approaches based on mesoscale structure, Composite Structures, Volume 284 (2022), p. 115149 | DOI:10.1016/j.compstruct.2021.115149
- Einführung in intrinsische Hybridverbunde, Intrinsische Hybridverbunde für Leichtbautragstrukturen (2021), p. 1 | DOI:10.1007/978-3-662-62833-1_1
- An anisotropic hyperelastic constitutive model for plain weave fabric considering biaxial tension coupling, Textile Research Journal, Volume 89 (2019) no. 3, p. 434 | DOI:10.1177/0040517517748495
- Characterization of temperature-dependent tensile and flexural rigidities of a cross-ply thermoplastic lamina with implementation into a forming model, International Journal of Material Forming, Volume 11 (2018) no. 1, p. 43 | DOI:10.1007/s12289-016-1327-2
- , Volume 1769 (2016), p. 170027 | DOI:10.1063/1.4963583
- On the Sensitivity of Mechanical Properties of Woven-Fabrics to the Draping Process: Static and Dynamic Assessment Through a CAE-Based Approach, Applied Composite Materials, Volume 23 (2016) no. 4, p. 899 | DOI:10.1007/s10443-016-9491-6
- Predictive model for the detection of out-of-plane defects formed during textile-composite manufacture, Composites Part A: Applied Science and Manufacturing, Volume 78 (2015), p. 102 | DOI:10.1016/j.compositesa.2015.07.011
- Modelling the structures and properties of woven fabrics, Modelling and Predicting Textile Behaviour (2010), p. 144 | DOI:10.1533/9781845697211.1.144
- Experimental validation of forming simulations of fabric reinforced polymers using an unsymmetrical mould configuration, Composites Part A: Applied Science and Manufacturing, Volume 40 (2009) no. 4, p. 530 | DOI:10.1016/j.compositesa.2009.02.005
- Present State of the Art of Composite Fabric Forming: Geometrical and Mechanical Approaches, Materials, Volume 2 (2009) no. 4, p. 1835 | DOI:10.3390/ma2041835
- Treatment of the composite fabric's shaping using a Lagrangian formulation, Mathematical and Computer Modelling, Volume 49 (2009) no. 7-8, pp. 1337-1349 | DOI:10.1016/j.mcm.2008.09.016 | Zbl:1165.74312
Cité par 11 documents. Sources : Crossref, zbMATH
Commentaires - Politique