全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Bulk Waves in the Infinite Electric-Magnetic-Elastic Plate with Mixed Boundary Conditions

DOI: 10.4236/jemaa.2021.132002, PP. 21-39

Keywords: Bulk Wave, Electric-Magneto-Elastic Plate, Dilatation Wave, Shear Wave, Dispersion Properties, Phase Velocity Surface

Full-Text   Cite this paper   Add to My Lib

Abstract:

A dynamic solution is presented for the propagation of waves in an electric-magneto-elastic plate composed of piezoelectric, piezomagnetic materials and elastic matrix. The electric-magneto-elastic plate is polarized along the thickness direction. The generalized displacements are expressed as the sum of the gradient of a scalar (dilatation wave) and the curl of a vector (shear wave). With the help of dynamic equilibrium equations and geometric equations, we can obtain dynamic equations of the dilatation wave and the shear wave. The conclusion that the types of the dilatation waves and the shear waves remain unchanged after being reflected by the boundary can be obtained through the analysis of these kinetic equations. The dispersion properties and phase velocity surface of the dilatation and shear wave can be obtained by solutions of dynamic equilibrium equations. Influences of the piezoelectric and piezomagnetic parameters on wave characteristics are discussed.

References

[1]  Harse, G., Dougherry, J.P. and Newnham, R.E. (1993) Theoretical Modelling of 3-0/0-3 Magntoelectric Composites. International Journal of Applied Electromagnetics in Materials, 4, 161-171.
[2]  Avellaneda, M. and Harse, G. (1994) Magnetoelectric Effect in Piezoelectric Magnetostrictive (2-2) Composites. Journal of Intelligent Material Systems and Structure, 5, 501-513.
https://doi.org/10.1177/1045389X9400500406
[3]  Cupiał, P. (2015) Three-Dimensional Perturbation Solution of the Natural Vibrations of Piezoelectric Rectangular Plates. Journal of Sound and Vibration, 351, 143-160.
https://doi.org/10.1016/j.jsv.2015.04.006
[4]  Nie, G.Q., Liu, J.X., Fang, X.Q. and An, Z.J. (2012) Shear Horizontal (SH) Waves Propagating in Piezo-Electric-Piezomagnetic Bilayer System with an Imperfect Interface. Acta Mechanica, 223, 1999-2009.
https://doi.org/10.1007/s00707-012-0680-6
[5]  Ezzin, H., Amor, M.B. and Ghozlen, M.H.B. (2017) Lamb Waves Propagation in Layered Piezoelectric/Piezomagnetic Plates. Ultrasonics, 76, 63-69.
https://doi.org/10.1016/j.ultras.2016.12.016
[6]  Guo, X., Wei, P.J., Li, L. and Lan, M. (2018) Effects of Functionally Graded Interlayers on Dispersion Relations of Shear Horizontal Waves in Layered Piezoelectric/Piezomagnetic Cylinders. Applied Mathematical Modelling, 55, 569-582.
https://doi.org/10.1016/j.apm.2017.11.029
[7]  Yu, J.G., Lefebvre, J.E. and Zhang Ch. (2014) Guided Wave in Multilayered Piezoelectric-Piezomagnetic Bars with Rectangular Cross-Sections. Composite Structures, 116, 336-345.
https://doi.org/10.1016/j.compstruct.2014.04.025
[8]  Pang, Y., Liu, Y.S., Liu, J.X., et al. (2016) Propagation of SH Waves in an Infinite/Semi-Infinite Piezoelectric/Piezomagnetic Periodically Layered Structure. Ultrasonics, 67, 120-128.
https://doi.org/10.1016/j.ultras.2016.01.007
[9]  Wang, Y.Z., Li, F.M., Huang, W.H., et al. (2008) Wave Band Gaps in Two-Dimensional Piezoelectric/Piezomagnetic Phononic Crystals. International Journal of Solids and Structures, 45, 4203-4210.
https://doi.org/10.1016/j.ijsolstr.2008.03.001
[10]  Li, L. and Wei, P.J. (2014) The Piezoelectric and Piezomagnetic Effect on the Surface Wave Velocity of Magneto-Electro-Elastic Solids. Journal of Sound and Vibration, 333, 2312-2326.
https://doi.org/10.1016/j.jsv.2013.12.005
[11]  Pang, Y., Wang, Y.S., Liu, J.X. and Fang, D.N. (2008) Reflection and Refraction of Plane Waves at the Interface Between Piezoelectric and Piezomagnetic Media. International Journal of Engineering Science, 46, 1098-1110.
https://doi.org/10.1016/j.ijengsci.2008.04.006
[12]  Arfi, M. (2016) Analysis of Wave in a Functionally Graded Magneto-Electro-Elastic Nano-Rod Using Nonlocal Elasticity Model Subjected to Electric and Magnetic Potentials. Acta Mechanica, 227, 2529-2542.
https://doi.org/10.1007/s00707-016-1584-7

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133