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Numerical investigation of the properties of quasilocal plane waves of the modal type in the case of a thin low-velocity elastic layer that is in contact with an elastic half-space. (Russian, English) Zbl 1130.74027

J. Math. Sci., New York 132, No. 1, 103-112 (2006); translation from Zap. Nauchn. Semin. POMI 308, 182-196, 255 (2004).
Summary: Numerical study of properties of quasilocal plane waves of the modal type propagating deep into a medium is carried out with the example of the model of a low-velocity elastic layer in the case of rigid contact with the underlying half-space. It is established that the genesis of these waves is closely related to singular complex roots of the dispersion equation of the problem. Eighteen variants of the model differing by relative parameters of the problem, which have a physical meaning, are considered. For every variant, seismograms of modal and body waves are computed and a comparison of them in intensity is carried out.

MSC:

74J99 Waves in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
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References:

[1] G. I. Petrashen and V. V. Reshetnikov, ”Development of engineering approaches to the study of interference wave fields excited in packets of thin elastic layers. I (Construction of wave fields of SV type and discussion of efficient methods for quantitatively evaluating them),” Zap. Nauchn. Semin. POMI, 253, 12–136 (1999). · Zbl 1112.74568
[2] V. V. Reshetnikov, ”Development of engineering approaches to the study of interference wave fields excited in packets of thin elastic layers. II (Numerical methods for evaluating wave fields. A brief review of the results obtained),” Zap. Nauchn. Semin. POMI, 253, 162–244 (1999). · Zbl 1112.74569
[3] V. V. Reshetnikov and Yu. A. Surkov, ”On new phenomena in elastic media consisting of a thin layer being in contact with a half-space,” Voprosy Geofiz., 36 (to appear). · Zbl 1130.74027
[4] On a Quantitative Study of the Dynamics of Seismic Waves. I [in Russian], Leningrad (1957).
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