Abstract
Our study is a generalization of some results obtained by Synge in the classical theory of elasticity. By this extension, we wish to cover the theory of micropolar elastic bodies. More precisely, we approach the electroacoustic energy flux in the case of plane waves of harmonic type which propagate in piezoelectric crystals which are supposed to be prepolarized and prestressed.
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References
Baesu, E., Fortune, D., Soos, E.: Incremental behaviour of hypereleastic dielectrics and piezoelectric crystals. Z. Angew. Math. Phys. 54, 160–168 (2003)
Balakirov, M.K., Ghilinskii, M.K.: Waves in Piezoelectric Crystals. Nauka, Novosibirsk (1982).. ((in Russian))
Synge, J.L.: Flux and energy for elastic waves in anisotropic media. Proc. Roy. Irish Acad. 58, 13–21 (1956)
Eringen, A.C.: Theory of thermo-microstretch elastic solids. Int. J. Eng. Sci. 28, 1291–1301 (1990)
Eringen, A.C.: Microcontinuum Field Theories. Springer-Verlag, New York (1999)
Iesan, D., Quintanilla, R.: Thermal stresses in microstretch bodies. Int. J. Eng. Sci. 43, 885–907 (2005)
Ciarletta, M.: On the bending of microstretch elastic plates. Int. J. Eng. Sci. 37, 1309–1318 (1995)
Vlase, S., et al.: Advanced Polylite composite laminate material behavior to tensile stress on weft direction. J. Optoelectron. Adv. Mater. 14(7–8), 658–663 (2012)
Teodorescu-Draghicescu, H., et al.: Optoelectron. Adv. Mater. Rapid Commun. 5(3–4), 273–277 (2011)
Marin, M., Öchsner, A.: The effect of a dipolar structure on the Hölder stability in Green-Naghdi thermoelasticity. Contin. Mech. Thermodyn. 29(6), 1365–1374 (2017)
Marin, M., Marinescu, C.: Thermoelasticity of initially stressed bodies. Asymptotic equipartition of energies. Int. J. Eng. Sci. 36(1), 73–86 (1998)
Marin, M., Florea, O.: On temporal behaviour of solutions in thermoelasticity of porous micropolar bodies. An. St. Univ. Ovidius Constanta 22(1), 169–188 (2014)
Marin, M., et al.: An extension of the domain of influence theorem for generalized thermoelasticity of anisotropic material with voids. J. Comput. Theor. Nanosci. 12(8), 1594–1598 (2015)
Hobiny, A., et al.: The effect of fractional time derivative of bioheat model in skin tissue induced to laser irradiation. Symmetry 12(4), 602 (2020)
Bhatti, M.M., et al.: Recent trends in computational fluid dynamics. Front. Phys. 8, 593111 (2020). https://doi.org/10.3389/fphy.2020.593111
Abouelregal, A.E., Marin, M.: The size-dependent thermoelastic vibrations of nanobeams subjected to harmonic excitation and rectified sine wave heating. Mathematics 8(7), 1128 (2020)
Marin, M., Öchsner, A.: Complements of Higher Mathematics. Springer, Cham (2018)
Bhatti, M.M., Beg, O.A., Abdelsalam, S.I.: Computational framework of magnetized MgO-Ni/water-based stagnation nanoflow past an elastic stretching surface: application in solar energy coatings. Nanomaterials (Basel) 12(7), 1049 (2022)
Bello González, N., et al.: On the energy flux in acoustic waves in the solar atmosphere. Memorie della Societa Astronomica Italiana 81, 757–752 (2010)
Iniesta, C., et al.: New method to analyse and optimise thermoacoustic power generators for the recovery of residual energy. Alex. Eng. J. 59(5), 3907–3917 (2020)
Backhaus, S., Swift, G.W.: A thermoacoustic-Stirling heat engine: detailed study. J. Acoust. Soc. Am. 107, 3148–3166 (2000)
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Communicated by Andreas Öchsner.
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Marin, M., Vlase, S., Öchsner, A. et al. Some results on the electroacoustic energy flux for micropolar bodies. Continuum Mech. Thermodyn. 34, 1197–1204 (2022). https://doi.org/10.1007/s00161-022-01114-7
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DOI: https://doi.org/10.1007/s00161-022-01114-7