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. Wave criteria for ultratropic micropolar elastic solids // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 4(62). p. 127-138
Author(s):Murashkin E. V., Radayev Y. N.
Index of UDK:539.374
DOI:10.37972/chgpu.2024.62.4.009
Title:Wave criteria for ultratropic micropolar elastic solids
Keywords:micropolar thermoelasticity, ultrahemitropic solid, ultraisotropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation, polarization vector.
Abstracts:The paper is devoted to the problems concerning propagation of plane harmonic waves of translational and spinor displacements in ultratropic micropolar elastic solids. The concept of an ultratropic micropolar elastic body is discussed. An energy form of stress potential for an anisotropic micropolar elastic body is presented and constitutive equations for ultrahemitropic/ultraisotropic micropolar elastic solids are obtained. A systems of partial differential equations formulated by terms of the translational displacement vector and the spinor displacement vector for ultrahemitropic/ultraisotropic micropolar elastic solids is derived. The equations for wavenumbers of longitudinal and transverse waves propagating in ultrahemitropic/ultraisotropic micropolar elastic solids are obtained and discussed. A criterion for propagating transverse harmonic waves in ultratropic micropolar elastic solids is formulated.
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; AuthorlD: 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; AuthorlD: 103116
Pages:127-138
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