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SH-wave in a piezomagnetic layer overlying an initially stressed orthotropic half-space
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  • Journal title : Smart Structures and Systems
  • Volume 17, Issue 2,  2016, pp.327-345
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2016.17.2.327
 Title & Authors
SH-wave in a piezomagnetic layer overlying an initially stressed orthotropic half-space
Kakar, Rajneesh; Kakar, Shikha;
The existence of SH-wave in a piezomagnetic layer overlying an initially stressed orthotropic half-space is investigated. The coupled of differential equations are solved for piezomagnetic layer overlying an orthotropic elastic half-space. The general dispersion equation has been derived for both magnetically open circuit and magnetically closed circuits under the four types of boundary conditions. In the absence of the piezomagnetic properties, initial stress and orthotropic properties of the medium, the dispersion equations reduce to classical Love equation. The SH-wave velocity has been calculated numerically for both magnetically open circuit and closed circuits. The effect of initial stress and magnetic permeability are illustrated by graphs in both the cases. The velocity of SH-wave decreases with the increment of wave number.
piezomagnetic;orthotropic;initial stress;magnetic permeability;dispersion equations;
 Cited by
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Achenbach, J.D. (1976), Wave propagation in elastic solid, New York, North Holland.

Arefi, M. and Rahimi, G.H. (2012), "Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure", Smart Struct. Syst., 9(2), 127-143.. crossref(new window)

Chattopadhyay, A., Gupta, S., Sharma, V.K. and Kumari, P. (2010), "Effect of point source and heterogeneity on the propagation of SH-waves", Int. J. Appl. Math. Mech., 6(9), 76-89.

Chattopadhyay, A., Gupta, S., Kumari, P. and Sharma, V.K. (2012), "Effect of point source and heterogeneity on the propagation of SH-waves in a viscoelastic layer over a viscoelastic half-space", Acta Geophysica, 60(1), 119-139. crossref(new window)

Chattopadhyay, A., Singh, A.K. and Dhua, S. (2014), "Effect of heterogeneity and reinforcement on propagation of a crack due to shear waves", Int. J. Geomech., 10.1061/(ASCE)GM.1943-5622.0000356,04014013.

Du, J., Harding, G.L., Ogilvy, J.A., Dencher, P.R. and Lake, M. (1996), "A study of Love-wave acoustic sensors", Sensor. Actuat. A-Phys, 56, 211-219. crossref(new window)

Ewing, W.M., Jardetzky, W.S. and Press, F. (1957), Elastic waves in layered media, New York, McGraw-Hill.

Feng, W.J., Pan, E., Wang, X. and Jin, J. (2009), "Rayleigh waves in magnetoelectro-elastic half planes", Acta. Mech., 202, 127-134. crossref(new window)

Gubbins, D. (1990), Seismology and plate tectonics, Cambridge, Cambridge University Press.

Gupta, R.R. and Gupta, R.R. (2013), "Analysis of wave motion in an anisotropic initially stressed fiber reinforced thermoelastic medium", Earthq. Struct., 4(1), 1-10. crossref(new window)

Jakoby, B. and Vellekoop, M.J. (1997), "Properties of Love waves: applications in sensors", Smart Mater. Struct., 6, 668-679. crossref(new window)

Koutsawa, Y., Tiem, S., Giunta, G. and Belouettar, S. (2014), "Effective electromechanical coupling coefficient of adaptive structures with integrated multi-functional piezoelectric structural fiber composites", Smart Struct. Syst., 13( 4), 501-515. crossref(new window)

Kundu, S., Manna, S. and Gupta, S. (2014), "Propagation of SH-wave in an initially stressed orthotropic medium sandwiched by a homogeneous and a heterogeneous semi-infinite media", Math. Meth. Appl. Sci., DOI: 10.1002/mma.3203 crossref(new window)

Li, X.Y., Wang, Z.K. and Huang, S.H., (2004), "Love waves in functionally graded piezoelectric materials", Int. J. Solids Struct., 41, 7309-7328. crossref(new window)

Love, A E.H. (1944), A treatise on mathematical theory of elasticity, New York, Dover Publications.

Marinkovic, D. and Marinkovic, Z. (2012), "On FEM modeling of piezoelectric actuators and sensors for thin-walled structures", Smart Struct. Syst., 9(5), 411-426. crossref(new window)

Qian, Z., Jin, F. and Wang, Z. (2004), "Love waves propagation in a piezoelectric layered structure with initial stresses", Acta Mech., 171, 41-57.

Sahu, S.A., Saroj, P.K. and Paswan, B. (2014), "Shear waves in a heterogeneous fiber-reinforced layer over a half-space under gravity", Int. J. Geomech., 10.1061/(ASCE)GM.1943-5622.0000404. crossref(new window)

Wang, Q. and Quek, S.T. (2001), "Love waves in piezoelectric coupled solid media", Smart Mater Struct., 10, 380-388. crossref(new window)

Watanabe, K. and Payton, R.G. (2002), "Green's function for SH waves in a cylindrically monoclinic material", J. Mech. Phys. Solids, 50, 2425-2439. crossref(new window)

Wu, T.T. and Chen, Y.Y. (2003), "Surface acoustic waves in layered piezoelectric media and its applications to the analyses of SAW devices", Chinese J. Mech. Eng.-Series A, 19, 207-214.

Vives, A.A. (2008), Piezoelectric transducer and applications. Berlin, Springer.

Zakharenko, A. (2005), "A Love-type waves in layered systems consisting of two cubic piezoelectric crystals", J Sound Vib., 285, 877-886. crossref(new window)

Zaitsev, B.D., Kuznetsova, I.E., Joshi, S.G. and Borodina, I.A. (2001), "Acoustic waves in piezoelectric plates bordered with viscous and conductive liquid", Ultrasonics, 39(1), 45-50. crossref(new window)