Abstract
Wave propagation in laminar models of cracked media is investigated. Particularly noteworthy is the low-velocity wave, which cannot be explained within the framework of a single elasticity theory.
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Literature cited
L. A. Molotkov and A. E. Khilo, “Investigation of single-phase and multiple-phase effective models describing periodic systems,” in: Mathematical Problems of the Theory of Wave Propagation. 14 [in Russian], Zap. Nauchn. Semin. LOMI,140, 105–122 (1984).
L. A. Molotkov and A. E. Khilo, “Matrix approach to the problem of averaging periodic media,” Izv. AN SSSR, Fiz. Seml., No. 11, 43–47 (1986).
L. A. Molotkov, “Equivalence of laminar-periodic and transversally isotropic media,” in: Mathematical Problems of the Theory of Wave Propagation. 10 [in Russian], Zap. Nauchn. Semin. LOMI,89, 219–233 (1979).
L. A. Molotkov, Matrix Method in the Theory of Wave Propagation in Laminar Elastic and Liquid Media [in Russian], Leningrad (1984).
L. A. Molotkov, U. Baimagambetov, and N. S. Smirnova, “Investigation of dispersion equations of free transversally Isotropic elastic layer,” in: Interference Waves in Laminar Media. 1 [in Russian], Zap. Nauchn. Semin. LOMI,99, 85–103 (1980).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 123–133, 1988.
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Molotkov, L.A. Wave propagation in laminar models of cracked media. J Math Sci 55, 1732–1740 (1991). https://doi.org/10.1007/BF01098212
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DOI: https://doi.org/10.1007/BF01098212