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JOURNALS // Vestnik Chuvashskogo Gosudarstvennogo Pedagogicheskogo Universiteta im. I. Ya. Yakovleva. Seriya: Mekhanika Predel'nogo Sostoyaniya // Archive

Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024 Issue 1(59), Pages 115–129 (Mi mps71)

Plane harmonic waves in a hemitropic micropolar body

T. K. Nesterov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: This paper deals with the propagation of plane monochromatic coupled waves of displacement and microrotation in a linear semi-isotropic micropolar body. An equation is obtained for determining the wave number of a longitudinal and transverse plane monochromatic wave. The dispersion equation is considered, and the necessary conditions for the existence of the dependence of the amplitudes of displacements and microrotations for longitudinal and transverse coupled waves are obtained. A table is given for converting the velocities of longitudinal and transverse waves for various sets of material constants of a semi-isotropic micropolar body.

Keywords: Micropolar continuum, semi-isotropy, plane monochromatic waves, coupled waves of displacement and microrotation, longitudinal wave, transverse wave.

UDC: 539.374

Received: 01.02.2024
Revised: 05.07.2024
Accepted: 01.05.2024

DOI: 10.37972/chgpu.2024.59.1.008



© Steklov Math. Inst. of RAS, 2026