Abstract
We present a new method for optimizing the rate and direction of fibers at each point in a composite structure for minimizing the compliance of the loaded structure. We give anexistence theorem and a numerical algorithm. We show an application to a two dimensionalelastic structure. The method can also be applied to bending plates and shells.
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References
Allaire G. and Kohn R.V., Topology optimization and optimal shape using homogenization, Proceedings of Topology design of Structures, pp.207–218, 1993, Kluwer Academic publishers, Netherlands.
Duvaut G., Mécanique des Milieux Continus, Masson, Paris, 1990.
Duvaut G., Optimisation of Composite Structures, Keynote lecture, Proceedings of ICCE/6, 27 june–3 July 1999, Orlando, Florida, USA, pp. B17–B20.
Duvaut G. et Lions J.L., Les Inéquations en Mécanique et en Physique, Dunod, Paris, 1972.
Duvaut G. et Terrel G., Optimisation of fiber reinforced composites, Proceedings of the 2d International Conference on Composite Sience and Technology, 9–11 June 1998, Durban, South Africa.
Gurdal Z. and Olmedo R., In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept, AIAA J., 1993, vol. 31, pp. 751–758.
Hayer M.W. and Charette R.F., The use of curvilinear fiber format in composite structure design, Proceedings of the of the 33th AIAA, ASME, ASCE, AHS, Structural Dynamics and Material Conference, April 1989, pp.2137–2145.
Hayer M.W. and Lee H.H., The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes, Composite Structures, 1991, vol 18, pp.239–261.
Lions J.L., Contrôle optimal des Systèmes Gouvernés par des Equations aux Dérivées Partielles, Dunod-Gauthier-Villars, Paris, 1968.
Murat F. et Tartar L., Calcul des variations et homogénéisation, Coll. de la Direction des Etudes et Recherches de Electricité de France, Eyrolles, 1985, pp.27–68.
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Duvaut, G., Terrel, G. (2000). A new method of optimisation for composite structures. In: Maugin, G.A., Drouot, R., Sidoroff, F. (eds) Continuum Thermomechanics. Solid Mechanics and Its Applications, vol 76. Springer, Dordrecht. https://doi.org/10.1007/0-306-46946-4_10
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DOI: https://doi.org/10.1007/0-306-46946-4_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6407-8
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