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Asymptotics of the frequencies of elastic waves trapped by a small crack in a cylindrical waveguide
Authors:S A Nazarov
Institution:1.Institute for Problems in Mechanical Engineering,Russian Academy of Sciences,St. Petersburg,Russia
Abstract:An asymptotics of frequencies of waves trapped in a space waveguide with a partially clamped lateral surface and a crack of a small diameter O(h) is obtained. The corresponding eigenvalue is located at a distance O(h 6) from the first threshold of the continuous spectrum.
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