{"title":"Polarization Vectors of Plane Waves in Semi-Isotropic Thermoelastic Micropolar Solids","authors":"E. V. Murashkin, Y. N. Radayev","doi":"10.1134/S0025654424700353","DOIUrl":null,"url":null,"abstract":"<p>The present paper deals with problems of propagation of coupled time-harmonic waves of temperature increment, translational and spinor displacements in a semi-isotropic thermoelastic solid. The governing couple partial differential equations of semi-isotropic thermoelastic solids are revisited. Dispersion equations for the wavenumbers of plane harmonic coupled thermoelastic longitudinal waves (bicubic equation) and transverse wave (biquartic equation) are obtained and solved. The roots of mentioned algebraic equations are calculated and normal wavenumbers are discriminated. The spatial polarizations of coupled time-harmonic thermoelastic waves have been studied. It is shown that the transverse plane wave carrying the two spatial polarizations in fact does not exist and can not be observed in semi-isotropic micropolar media due to existence of direct and mirror wavemodes.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3880 - 3887"},"PeriodicalIF":0.6000,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424700353","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The present paper deals with problems of propagation of coupled time-harmonic waves of temperature increment, translational and spinor displacements in a semi-isotropic thermoelastic solid. The governing couple partial differential equations of semi-isotropic thermoelastic solids are revisited. Dispersion equations for the wavenumbers of plane harmonic coupled thermoelastic longitudinal waves (bicubic equation) and transverse wave (biquartic equation) are obtained and solved. The roots of mentioned algebraic equations are calculated and normal wavenumbers are discriminated. The spatial polarizations of coupled time-harmonic thermoelastic waves have been studied. It is shown that the transverse plane wave carrying the two spatial polarizations in fact does not exist and can not be observed in semi-isotropic micropolar media due to existence of direct and mirror wavemodes.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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