Paper number 290

DEVELOPMENT OF AN OPTIMIZATION METHOD FOR COMPOSITE MATERIALS

G. Terrel1, G. Duvaut2, P. Geoffroy3

1 Doctorante ONERA-Lille, Département de Mécanique du Solide et de
l'Endommagement, 5 Bd Paul Painlevé, 59045 Lille, France
2 Laboratoire de Modélisation et Mécanique des Structures,
Université Pierre et Marie Curie (Paris 6), 4 Place Jussieu, 75252 Paris, France
3ONERA-Lille, Département de Mécanique du Solide et de l'Endommagement,
5 Bd Paul Painlevé, 59045 Lille, France

Summary A method for determining the optimal direction and volume fraction of fibers at each point of a structure is developed. It results in a curved fiber format which exibits variable stiffness properties. The fiber orientation and the fiber volume fraction are assumed to be constant within each element of the finite element model, but they vary from element to element. A convergent algorithm is obtained using variational formulations. It consists in two alternating minimizations : a local one and a global one. The particular case of panels in plane stresses is presented. Numerical applications for laminates subjected to an edge load are presented.
Keywords fiber-reinforced composites, optimization, variable stiffness, curvilinear fibers, finite-element, variational formulation.

Theme : Design Methods and Optimisation

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