Petrashen, G. I.; Reshetnikov, V. V.; Surkov, Yu. A. Comparison of methods for computing interference elastic waves in thin-layered media. II. (English. Russian original) Zbl 1400.74046 J. Math. Sci., New York 148, No. 5, 760-768 (2008); translation from Zap. Nauchn. Semin. POMI 342, 217-232 (2007). Summary: The paper is an immediate continuation of the paper where the solution of the problem on the propagation of low-frequency waves in thin-layered media by the dispersion equation method was considered in detail [Part I, Zap. Nauchn. Semin. POMI 332, 220–238 (2006); translation in J. Math. Sci., New York 142, No. 6, 2645–2654 (2007; Zbl 1096.74033)]. In the present article, the solution of a similar problem is given for an elastic layer and a half-space, which are in rigid contact, by the method of superposition of complex plane waves. MSC: 74J10 Bulk waves in solid mechanics 74S30 Other numerical methods in solid mechanics (MSC2010) Citations:Zbl 1096.74033 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] G. I. Petrashen, V. V. Reshetnikov, and Yu. A. Surkov, ”Comparison of the methods for computing interference elastic wave fields in thin-layered media. I,” Zap. Nauchn. Semin. POMI, 332, 220–238 (1976). · Zbl 1096.74033 [2] T. I. Vavilova and A. D. Pugach, ”Intensity of multiple waves in a three-layer medium,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 7 (1966), pp. 30–46. [3] A. S. Alekseev and B. Ya. Gelchinskii, ”The ray method for computing the wave fields in the case of inhomogeneous media with curvilinear interfaces,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 3 (1959), pp. 107–160. [4] T. I. Vavilova and G. I. Petrashen, ”Calculation of the fields of multiple waves in multilayer media,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 7 (1966), pp. 48–54. [5] G. I. Petrashen and T. I. Vavilova, ”Calculation of the intensities of multiple waves for any position of a source and a receiver,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 9 (1968), pp. 77–96. [6] G. I. Petrashen and N. S. Smirnova, ”Methods of the quantitative description of interference waves in elastic media that contain thin plane-parallel layers. I,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 23 (1983), pp. 56–67. [7] G. I. Petrashen and N. S. Smirnova, ”Methods for qualitatively describing interference waves in elastic media that contain thin plane-parallel layers. II,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 25 (1986), pp. 125–138. [8] N. S. Smirnova, ”Calculation of the wave field in the problem on the propagation of SH waves,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 26 (1987), pp. 89–99. [9] L. A. Molotkov, ”Propagation of elastic waves in media containing thin plane-parallel layers,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 5 (1961), pp. 240–280. [10] G. I. Petrashen, N. S. Smirnova, and E. M. Ledovskaya, ”Calculation of wave fields in media containing thin plane-parallel elastic layers,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 26 (1987), pp. 5–88. [11] N. S. Smirnova, ”Simulating the field of waves reflected by a thin elastic layer,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 28 (1989), pp. 38–45. [12] N. S. Smirnova, ”Some examples of the calculation of theoretical seismograms of waves reflected by a thin elastic layer,” in: Problems in the Dynamic Theory of Seismic Wave Propagation, 29 (1989), pp. 68–76. [13] N. S. Smirnova, ”Calculation of wave fields in multilayer media,” Zap. Nauchn. Semin. POMI, 203, 156–165 (1992). · Zbl 0850.73058 [14] N. S. Smirnova, ”An algorithm for determining the fields of multiple waves for an arbitrary position of a source and a receiver inside an elastic medium,” Zap. Nauchn. Semin. POMI, 210, 251–261 (1994). · Zbl 0872.73007 [15] N. S. Smirnova, ”Calculation of the wave field in multilayermedia,” Zap. Nauchn. Semin. POMI, 230, 243–252 (1995). · Zbl 0921.73101 [16] Chunnan Zhou, N. N. Hsu, J. S. Popovics, and J. D. Achenbash, ”Response of two layers overlaying a half-space to a suddenly applied point force,” Wave Motion 31, 255–272 (2000). · Zbl 1053.74024 · doi:10.1016/S0165-2125(99)00020-7 [17] G. I. Petrashen, L. A. Molotkov, and P. V. Krauklis, Waves in Layer-Homogeneous Isotropic Elastic Media [in Russian], Nauka, Leningrad (1982). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.