Abstract
Wave propagation in a layered medium with contacts of the general type at some boundaries is considered. An effective model, which in the general case is a medium with elastic aftereffect, is found for the medium under discussion.
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Literature cited
L. A. Molotkov, “On the equivalence of layered-periodic and transversally isotropic mdia,” J. Sov. Math.,19, No. 4 (1982).
L. A. Molotkov, The Matrix Method in the Theory of Wave Propagation in Layered Elastic and Liquid Media [in Russian], Leningrad (1984).
L. A. Molotkov and A. E. Khilo, “Averaging of periodic nonidealized media,” J. Sov. Math.,32, No. 2 (1986).
S. K. Tleukenov, “On energy absorption and interruption of displacements at boundaries with nonrigid contact,” J. Sov. Math.,30, No. 5 (1985).
L. A. Molotkov, “On interference waves in a free inhomogeneous elastic layer,” J. Sov. Math.,6, No. 5 (1976).
L. A. Molotkov and U. Baimagambetov, “On the study of wave propagation in layered transversally isotropic media,” J. Sov. Math.,22, No. 1 (1983).
G. I. Petrashen', “On a rational method of solving problems of dynamic theory,” Uch. Zap. Leningr. Gos. Univ., No. 208, 5 (1956).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 148–157, 1986.
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Molotkov, L.A., Khilo, A.E. Effective models of layered elastic media with linear contacts of the general type. J Math Sci 50, 1774–1779 (1990). https://doi.org/10.1007/BF01097109
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DOI: https://doi.org/10.1007/BF01097109