Geodesic
Passege of a bending wave through an inhomogeneity within an absolutely hard rib backing an elastic plate
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 22-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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The wave properties of the system consisting of elastic plate and absolutely rigid infinite rib with a deffect on a segment is examined. The two kinds of studied deffects are an elastic inclusion and a gap. The Green function method is applied to the diffraction problem and transformes it to singular integro-differencial equations on an interval. For the case of short deffects the nonresonance and resonance asymptotics of scattering pattern are obtained. Bibliography: 5 titles. These results show that the coefficient of penetration for the gap is much larger than that for the elastic inclusion if the frequency is non resonant. 
@article{ZNSL_1994_210_a1,
     author = {I. V. Andronov},
     title = {Passege of a~bending wave through an inhomogeneity within an absolutely hard rib backing an elastic plate},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {22--29},
     year = {1994},
     volume = {210},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a1/}
}
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I. V. Andronov. Passege of a bending wave through an inhomogeneity within an absolutely hard rib backing an elastic plate. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 22-29. http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a1/