Rayleigh-Type Wave Propagation on a Micropolar Cylindrical Surface

[+] Author and Article Information
K. Mrithyumjaya Rao, M. Pratap Reddy

Department of Mathematics, Kakatiya University, Warangal-50 6009, India

J. Appl. Mech 60(4), 857-865 (Dec 01, 1993) (9 pages) doi:10.1115/1.2900994 History: Received May 17, 1989; Revised March 13, 1992; Online March 31, 2008


A detailed study of a Rayleigh wave propagating on the surface of a micropolar elastic circular cylinder in an azimuthal direction is considered. At the cutoff frequency if the particle displacement is purely azimuthal and equivoluminal, then only this type of wave exists. A number of deviations from the results of the classical theory are observed. For example, the phase velocity corresponding to the same branch is given to be single valued, whereas it seems to be multivalued at some intervals. Due to the micropolar effect there exists an extra wave whose frequency spectrum is also obtained. The dependence of the microrotation and couple stress amplitudes on depth are evaluated. The frequency of the Rayleigh wave increases due to the micropolar effect.

Copyright © 1993 by The American Society of Mechanical Engineers
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