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IssuesArchive of Issues2025-5pp.3566-3575

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E.V. Murashkin and Y.N. Radayev, "Mirror Wave Modes of Time-Harmonic Monochromatic Plane Waves in Hemitropic Elastic Micropolar Media," Mech. Solids. 60 (5), 3566-3575 (2025)
Year 2025 Volume 60 Number 5 Pages 3566-3575
DOI 10.1134/S0025654425700025
Title Mirror Wave Modes of Time-Harmonic Monochromatic Plane Waves in Hemitropic Elastic Micropolar Media
Author(s) E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Y.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru)
Abstract The paper is devoted to propagation of time-harmonic mirror wave modes in hemitropic micropolar media. Dynamics equations of a hemitropic micropolar elastic solid are formulated in terms of pseudotensors formalism. Transformation formulae for translational and spinor displacements, differential pseudovector operators and constitutive pseudoscalars for the cases of space inversion and mirror reflection relative to a given plane are obtained. Simultaneous existence of the direct, inverse and mirror reflected wave modes of propagating plane waves is predicted. Plane wave propagating in hemitropic micropolar elastic media comprises the three types of wave modes: direct, inverse and mirror. Algorithm for transformation direct wave modes into inverse and mirror modes of spinor and translational displacements is proposed.
Keywords pseudotensor, fundamental orienting pseudoscalar, constitutive pseudoscalar, micropolar hemitropic continuum, wave, wave mode, inverse mode, mirror mode
Received 07 June 2025Revised 03 July 2025Accepted 08 July 2025
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