Abstract
The author examines an elastic medium reinforced with slightly distorted elastic layers. The basic equations are obtained by the method proposed in [1,2]. It is assumed that the functions describing the initial distortions of the reinforcing layers form a random field. With the help of the method of canonical expansions [3], expressions are derived for the statistical characteristics of the stresses, strains and displacements in the reinforced medium. The theory is used to account for the known experimental fact of the reduction in the moduli of elasticity of layered glass-reinforced plastics as compared with the values calculated for an ideal reinforced medium. In particular, it is shown that this reduction may be considerable even when the initial irregularities are relatively small.
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V. V. Bolotin, Izv. AN SSSR, OTN, Mekh. i mashinostroenie, 1, 1964.
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V. S. Pugachev, Theory of Random Functions and Its Application to Automatic Control Problems [in Russian], Fizmatgiz, 1960.
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V. V. Bolotin, Statistical Methods in Structural Mechanics [in Russian], Stroiizdat, 1965.
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Mekhanika Polimerov, Vol. 2, No. 1, pp. 11–19, 1966
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Bolotin, V.V. Theory of a reinforced layered medium with random initial irregularities. Polymer Mechanics 2, 7–11 (1966). https://doi.org/10.1007/BF01198435
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DOI: https://doi.org/10.1007/BF01198435