Abstract
We develop a model of elastic strain of a composite material with interphase imperfections. In the context of this model we construct a continuous model of first order (theory of effective models) for stratified and unidirectional fibrous compounds. We determine the velocities of propagation of long (compared with the size of the structure) waves in any direction. We exhibit the possible characteristic regularities of the influence of interphase imperfections on the value of the velocities. Bibliography: 6 titles.
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Literature Cited
Composite Materials [in Russian], Vol. 1: Interfaces in Metal Composites, Moscow (1978).
Composite Materials [in Russian], Vol. 8: Interfaces in Polymer Composites, Moscow (1978).
M. O. Shul'ga and N. D. Shul'ga, “Velocities of propagation of long waves of arbitrary direction in stratified composites with interphase imperfections”, Preprint No. 301-UK95 (1995).
Mechanics of Composite Materials and Structural Elements Made of Them [in Russian], Vol. 2: Mechanics of Structural Elements, Kiev (1983).
E. Dieulesaint and D. Royer,Elastic Waves in Solid Bodies, Wiley, New York (1980).
M. O. Shul'ga “Wave potentials for a transversally isotropic medium”,Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 6, 547–549 (1973).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 100–105.
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Shul'ga, N.A. The velocities of long waves in composites with interphase imperfections. J Math Sci 86, 3149–3152 (1997). https://doi.org/10.1007/BF02355715
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DOI: https://doi.org/10.1007/BF02355715