Abstract
Starting from an analysis of the statistical accumulation of the defects during rupturing of the separate fibers in a composite material, a theoretical method suited for constructing deformation diagrams of composite materials and based on averaging of the stresses in the defect volumes of the material is proposed. The effect of two statistical distribution (Waybul's and uniform) laws of the strength of the original reinforcing fibers on the shape of the deformation diagrams of composite materials is analyzed.
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Literature cited
H. E. Daniels, “The statistical theory of the strength of bundles of threads”, Proc. Roy. Soc.,A183, 995 (1945).
B. D. Coleman, “A stochastic process model for mechanical breakdown”, Trans. Soc. Rheol.,1, 311 (1957).
B. W. Rosen, “Mechanics of strengthening of composites”, in: Fibrous Composite Materials [in Russian], Moscow (1967), pp. 54–96.
C. Zweben, “Tensile failure of fiber composites”, AIAA J.,6, 2325 (1968).
C. Zweben and B. W. Rosen, “Astatistical theory of materials”, J. Mech. Phys. Solids,18, 189–206 (1970).
Ya. Nemets, S. V. Serensen, and V. S. Strelyaev, Strength of Plastics [in Russian], Moscow (1970).
S. V. Serensen, and V. S. Strelyaev, “Statistical regularities of rupturing and a statistical estimate of the mean strength of construction elements manufactured from composite polymer materials”, Mekh. Polim., No. 3, 466–482 (1972).
V. V. Bolotin, “Mechanics of the rupturing of composite materials”, in: Building Mechanics [in Russian], Moscow (1972), pp. 77–86.
V. S. Ivanova and L. M. Ustinov, “Micromechanisms responsible for breakdown of reinforced metals when the splitting process is taken into account”, Fiz. Khim. Obrab. Met., No. 2, 114 (1969).
A. Kelli, “Boundary surface of the components during breakdown of a fibrous composite”, in: Single-Crystal Fibers and Materials Reinforced with Them [in Russian], Moscow (1973), pp. 246–267.
S. T. Mileiko, N. M. Sorokin, and A. M. Tsirlin, “Strength of boroaluminum — a composite with brittle fibers”, Mekh. Polim., No. 3, 840–846 (1973).
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A. A. Baikov Institute of Metallurgy, Academy of Sciences of the USSR, Moscow. Translated from Mekhanika Polimerov, No. 6, pp. 1021–1031, November–December, 1975
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Ovchinskii, A.S., Kop'ev, I.M. & Bilsagaev, N.K. Method suited for constructing deformation diagrams of composite materials on the basis of the statistical distribution of the strength of the reinforcing fibers. Polymer Mechanics 11, 871–879 (1975). https://doi.org/10.1007/BF00857608
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DOI: https://doi.org/10.1007/BF00857608