Abstract
A model of a pre-stressed structure consisting of a pre-stressed homogeneous half-space with a pre-stressed inhomogeneous coating , which is either a layer or a packet of both homogeneous and inhomogeneous layers, is suggested. The investigation is carried out in the Lagrangian coordinate system; the linearized constitutive relations and the equations of motion are used. The influence of the value, character and type of the initial stresses on the peculiarities of the propagation of surface waves in piezoelectric structures is studied. The conditions, under which the action of the initial mechanical stresses leads to the increase of the velocity of the Bleustein–Gulyaev wave with respect to the velocity of the original material, and the conditions, under which a pre-stressed piezoelectric structure ceases to be weakly inhomogeneous, are established.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
V.V. Kalinchuk, T.I. Belyankova, Dynamic Contact Problems for Prestressed Electroelastic Media (Fizmatlit, Moscow, 2006). (in Russian)
V.V. Kalinchuk, T.I. Belyankova, Dynamic of the Surface of Inhomogeneous Media (Fizmatlit, Moscow, 2009). (in Russian)
V.V. Kalinchuk, T.I. Belyankova, O.V. Evdokimova, Vestnik SSC RAS Nauka, Moscow 2(1), 16 (2006). (In Russian)
A.I. Lurie, Nonlinear Theory of Elasticity (Nauka, Moscow, 1980). (In Russian)
S.V. Biryukov, Y.V. Gulyaev, V.V. Krylov, V.P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer-Verlag, New York, 1995)
T.I. Belyankova, V.A. Lyzhov, Vestnik SSC RAS Nauka, Moscow 6(2), 3 (2010). (In Russian)
V.V. Kalinchuk, T.I. Belyankova, in Proceedings of the 4th International Conference on Structural Dynamics. Structural Dynamics: EURODYN 2002, vol. 2 (Balkema, The Netherlands, 2002), p. 1309
V.V. Kalinchuk, T.I. Belyankova, Tosecky, in Proceedings of the 6th European Conference on Structural Dynamics. Structural Dynamics: EURODYN 2005, vol. 2 (MillPress, Rotterdam, The Netherlands, 2005), p. 1309
V.V. Kalinchuk, T.I. Belyankova, A.S. Bogomolov, Ecol. Bull. Res. Centers Black Sea Econ. Cooper. 2, 26 (2006). (In Russian)
G.A. Maugin, Continuum Mechanics of Electromagnetic Solids (Elsevier science publishers Amsterdam, New York, Oxford, Tokyo, 1988).
H. Liu, Z.K. Wang, T.J. Wang, Int. J. Eng. Sci. 38, 37 (2001)
H. Liu, Z.B. Kuang, Z.M. Cai, Ultrasonics 41, 397 (2003)
Z. Qian, F. Jin, Z. Wang, X. China, K. Kishimoto, Acta Mech. 171, 41 (2004)
Feng Jin, Zikun Wang, Tiejun Wang, Int. J. Eng. Sci. 39, 1271 (2001)
T.I. Belyankova, V.V. Kalinchuk, Acoust. Phys. 60(5), 530 (2014)
M.P. Shaskolskaya (eds.), Acoustic Crystals: Handbook (Nauka, Moscow, 1982) (In Russian)
Acknowledgments
This work was performed with the financial support of the Russian Science Foundation (Project No. 14-19-01676).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Belyankova, T.I., Kalinchuk, V.V., Tukodova, O.M. (2016). Peculiarities of the Surface SH-Waves Propagation in the Weakly Inhomogeneous Pre-stressed Piezoelectric Structures. In: Parinov, I., Chang, SH., Topolov, V. (eds) Advanced Materials. Springer Proceedings in Physics, vol 175. Springer, Cham. https://doi.org/10.1007/978-3-319-26324-3_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-26324-3_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-26322-9
Online ISBN: 978-3-319-26324-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)