Abstract
A hollow sphere of an elastic binding material of slight stiffness, bonded randomly by “fiber” segments of a stiffer material, is considered. Polymer material, for example, can be the binder. Such a bonding permits obtaining a material with improved properties, where the material on the whole is quasi-isotropic [1]. The stress distribution in a hollow sphere is obtained.
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I. N. Bogachev, A. A. Vainshtein, and S. D. Volkov, Introduction to Statistical Metallography [in Russian], Metallurgiya, Moscow (1972).
B. D. Annin, “The constitutive equations and some problems of random-fiber composite body,” in: Fifteenth Polish Solid Mechanics Conference, Abstracts, Zakopane (1973), pp. 6–7.
A. A. Il'yushin and V. S. Lenskii, Strength of Materials [in Russian], Fizmatgiz, Moscow (1959).
A. A. Samarskii, Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).
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Translated from Zhurnal Prikladnoi Mekhahiki i Tekhnicheskoi Fiziki, No. 2, pp. 113–119, March–April, 1975.
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Rogozin, I.D. Hollow sphere of randomly bonded material subjected to internal pressure. J Appl Mech Tech Phys 16, 243–247 (1975). https://doi.org/10.1007/BF00858921
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DOI: https://doi.org/10.1007/BF00858921