Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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Murashkin E.V., Radayev Y.N. Plane harmonic thermoelastic waves in ultrahemitropic micropolar solid // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 2(60). p. 116-128
Author(s):Murashkin E.V., Radayev Y.N.
Index of UDK:539.374
DOI:10.37972/chgpu.2024.60.2.008
Title:Plane harmonic thermoelastic waves in ultrahemitropic micropolar solid
Keywords:micropolar thermoelasticity, ultrahemitropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation, polarization vector.
Abstracts:The study is devoted to problems associated with propagation of plane harmonic coupled waves of temperature increment, translational and spinor displacements in an ultrahemitropic micropolar thermoelastic solid. A closed system of differential equations in partial derivatives of the second order with respect to the temperature increment and displacements (translational and spinor) is revisited. Characteristic equations for wavenumbers of plane harmonic coupled thermoelastic waves are found and analyzed. Algebraic expressions for the roots of the characteristic equations are obtained and normal wavenumbers with a positive real part are separated. For a longitudinal wave, complex amplitudes of the temperature increment, translational and spinor displacements are coupled, in contrast to a transverse wave, which is athermal in nature.
The contact details of authors:Evgenii V. Murashkin, Cand. Sci. Phys. & Math., MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: evmurashkin@gmail.ru; https://orcid.org/0000-0002-3267-4742; AuthorID: 129570 Yuri N. Radayev, Dr. Sci. Phys. & Math., Prof., Leading Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: radayev@ipmnet.ru; https://orcid.org/0000-0002-0866-2151; AuthorID: 103116
Pages:116-128
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