Abstract
The formulation of a homogenization procedure within the framework of the yield design theory makes it possible to derive a strength criterion for a fiber composite material in a rigorous way, from the only definitions of the strength properties of the constituents (matrix and fibers) and of their geometrical, structural and voluminal arrangement. Making use of both yield design static and kinematic approaches, quite simple analytical lower and upper bound estimates are obtained for a unidirectional fiber composite. A detailed analysis of those estimates is carried through in the specific case when the composite is subjected to a uniaxial solicitation or to plane strain conditions parallel to the fibers direction.
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References
de Buhan, P., 1986. Approche fondamentale du calcul à la rupture des ouvrages en sols renforcés. Thesis, Université Pierre et Marie Curie, Paris.
de Buhan, P., and Salençon, J., 1987. “Yield strength of reinforced soils as anisotropic media”, IUTAM symposium on Yielding, Damage and Failure of Anisotropic Solids, Villard-de-Lans, France. J.P. Boehler ed., to appear.
de Buhan, P., and Taliercio, A., 1988. “Critère de resistance macroscopique pour les matériaux composites à fibres”, C.R. Ac. Sc., 307, II, Paris, pp. 227–232.
Dvorak, G.J., and Bahei-el-Din, Y.A., 1982. “Plasticity Analysis of Fibrous Composites”, Jl. Applied Mechanics, Vol. 49, pp. 327–335.
Frémond, M., and Friaá, A., 1978. Analyse limite. Comparaison des méthodes statique et cinématique, C.R. Ac. Sc., Paris, t. 286, série A, pp. 107–110.
Marigo, J.J., Mialon, P., Michel, J.C., Suquet, P., 1987. “Plasticité et homogénéisation: un exemple de prévision des charges limites d’une structure hétérogène périodique”, J. Méca. Th. et Appl., 6, pp. 47–75.
Salençon, J., 1983. Calcul à la rupture et analyse limite, Presses de l’E.N.P.C, Paris.
Saurindranath, M., and Mc Laughlin, P.V., 1975. “Effects of phase geometry and volume fraction on the plane stress limit analysis of a unidirectional fiber reinforced composite”, Int. Jl. Solids Structures, Vol. 11, pp. 777–791.
Sawicki, A., 1981. “Yield conditions for layered composites”, Int. Jl. Solids and Structures, Vol. 17, pp. 969–979.
Suquet, P., 1985. “Elements of homogenization for inelastic solid mechanics”, in Homogenization techniques for composite media, C.I.S.M., Udine, Italy. Springer Verlag, pp. 193–278.
Taliercio, A., 1989. Studio del comportamento elastico e a rottura di materiali compositi a fibre e di elementi strutturali in composito, thesis, Politecnico di Milano.
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© 1991 Springer-Verlag New York Inc.
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De Buhan, P., Salencon, J., Taliercio, A. (1991). Lower and Upper Bound Estimates for the Macroscopic Strength Criterion of Fiber Composite Materials. In: Dvorak, G.J. (eds) Inelastic Deformation of Composite Materials. International Union of Theoretical and Applied Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9109-8_27
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DOI: https://doi.org/10.1007/978-1-4613-9109-8_27
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