Abstract
Fundamental equations of the theory of spatially reinforced media with a matrix reinforced by spherical particles are proposed on the basis of a linearly reinforced layer and tl.e hypothesis of a longitudinal state. For an arbitrary orientation of the fibers, the generalized elasticity equation for composites was found to contain 21 elastic constants and approximate formulas were derived for their determination.
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References
G. A. Vanin and D. D. Nguyen, “Theory of spherofibrous composites. I. Starting relationships, hypotheses, and models,” Mekhan. Kompozitn. Mater.,32, No. 3, 291–305 (1996).
J. Nye, Physical Properties of Crystals and Their Tensor and Matrix Description [Russian translation], Mir, Moscow (1967).
Yu. I. Sirotin and M. P. Shkol'skaya, Fundamentals of Crystal Physics [in Russian], Nauka, Moscow (1975).
L. McAllister and W. Lachman, “Multidirectional carbon—carbon composites,” in: Yu. M. Tarnopol'skii (editor), Applied Mechanics of Composites [Russian translation], Mir, Moscow (1989), pp. 226–294.
I. G. Zhigun and V. A. Polyakov, Properties of Spatially Reinforced Plastics [in Russian], Zinatne, Riga (1978).
Yu. M. Tarnapol'skii, Yu. M. Zhigun, and V. A. Polyakov, Spatially Reinforced Composite Materials [in Russian], Mashinostroenie, Moscow (1987).
Additional information
Communication 1. see preceding article.
A. A. Blagonravov Institute of Mechanical Engineering. Russian Academy of Sciences, Moscow. Russian. Translated from Mekhanika Kompozitnykh Materialov, Vol. 32, No. 3, pp. 306–316, May–June, 1996.
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Vanin, G.A., Duc, N.D. Theory of spherofibrous composites. 2. Fundamental equations. Mech Compos Mater 32, 208–216 (1996). https://doi.org/10.1007/BF02254687
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DOI: https://doi.org/10.1007/BF02254687