WAVE PROCESSES IN A FINE-LAYERED MEDIUM

The problem of the propagation of elastic waves in a fine-layered steel-graphite medium is considered. The propagation of a longitudinal wave in a finely layered medium with homogeneous boundary conditions parallel to layers of different thickness is investigated. A new dispersion equation with previously unrecorded corrections for determining the propagation velocity of a longitudinal wave in a finely layered medium is derived and solved with respect to the wave number. The obtained equation is used with reference to the problems of finding the basic physic-mechanical characteristics of the medium. An expression is obtained for the velocity of a longitudinal wave in a finely layered medium by replacing trigonometric functions by their arguments. Analyzed and compared with the results obtained earlier in journal articles and monographs are graphical dependences of the effective velocities of compression waves on the relative thickness of the layers. Calculations were carried out for a total thickness of the steel-graphite layer equal to 1 mm at an ultrasound frequency of 1 MHz.

Authors: K. E. Abbakumov, A. V. Vagin

Direction: Instrument Engineering and Information-Measurement Technologies

Keywords: Dispersion equation, elastic waves, wave number, fine-layered medium, propagation speed

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