Journal of Siberian Federal University. Mathematics & Physics / On the Velocities of Rayleigh Surface Waves Propagating along Boundaries of Generalized Continua

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Erofeev, Vladimir I.; Antonov, Artem M.; Malkhanov, Alexey O.
Contact information
Erofeev, Vladimir I. : Mechanical Engineering Research Institute RAS Branch of Federal Research Center A. V. Gaponov–Grekhov Institute of Applied Physics of the Russian Academy of Sciences Nizhny Novgorod, Russian Federation; OCRID: 0000-0002-6637-5564; Antonov, Artem M. : Mechanical Engineering Research Institute RAS Branch of Federal Research Center A. V. Gaponov–Grekhov Institute of Applied Physics of the Russian Academy of Sciences Nizhny Novgorod, Russian Federation; ; Malkhanov, Alexey O. : Mechanical Engineering Research Institute RAS Branch of Federal Research Center A. V. Gaponov–Grekhov Institute of Applied Physics of the Russian Academy of Sciences Nizhny Novgorod, Russian Federation; OCRID: 0000-0001-5210-8281
Keywords
gradient-elastic half-space; reduced Cosserat model; surface wave; dispersion; phase velocity; frequency
Abstract

It is demonstrated that mathematical models of gradient-elastic medium and reduced Cosserat medium, in contrast to the model of classical deformable solid, allow one to describe experimen- tally observed dispersion of Rayleigh surface wave, i.e., relationship between phase velocity of surface wave and frequency. At the same time, according to the model of gradient-elastic half-space, velocity of surface wave cannot exceed the velocity of shear wave but at certain values of frequency it can reach it. According to reduced Cosserat model, velocity of surface wave exceeds the velocity of shear wave as well as velocity of propagation of surface wave in classical half-space and gradient-elastic half-space

Pages
189–196
EDN
FSMZDD
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/154457