Journal of Theoretical
and Applied Mechanics

56, 4, pp. 993-1004, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.993

Microstructural considerations on SH-wave propagation in a piezoelectric layered structure

Richa Goyal, Satish Kumar, Vikas Sharma
Shear wave based acoustic devices are being used in gaseous and liquid environments because
of their high-sensitivity. The theoretical study of horizontally polarized shear (SH)
waves in a layered structure consisting of a piezoelectric ceramic of PZT − 5H or BaT iO3
material overlying a couple stress substrate is presented in this paper. The considered substrate
is supposed to be exhibiting microstructural properties. The closed form expression of
dispersion relations are derived analytically for electrically open and short conditions. The
effects of internal microstructures of the couple stress substrate, thickness of PZT − 5H
or BaT iO3 ceramic, piezoelectric and dielectric constants are illustrated graphically on the
phase velocity of the piezoelectric layer under electrically open and short conditions.
Keywords: SH-wave, piezoelectricity, couple stress, characteristic length


Cosserat E., Cosserat F., 1909, Theory of Deformable Bodies (in French), A Hermann et Fils,


Eringen A.C., 1968, Theory of micropolar elasticity, [In:] Fracture, H. Liebowitz (Edit.), Academic

Press New York, 2, 662-729

Ezzin H., Amor M.B., Ghozlen M.H.B., 2017, Propagation behavior of SH waves in layered

piezoelectric/piezomagnetic plates, Acta Mechanica, 228, 3, 1071-1081

Gupta V., Vashishth A.K., 2016, Effects of piezoelectricity on bulk waves in monoclinic poroelastic

materials, Journal of Theoretical and Applied Mechanics, 54, 2, 571-577

Hadjesfandiari A.R., Dargush G.F., 2011, Couple stress theory for solids, International Journal

of Solids and Structures, 48, 2496-2510

Jakoby B., Vellekoop M.J., 1997, Properties of Love waves: Applications in sensors, Smart

Materials and Structures, 6, 668-679

Koiter W., 1964, Couple stresses in the theory of elasticity – I and II, Proceedings of the Koninklijke

Nederlandse Akademie Van Wetenschappen, 67, 17-44

Liu H., Wang Z.K., Wang T.J., 2001, Effect of initial stress on the propagation behavior of

Love waves in a layered piezoelectric structure, International Journal of Solids and Structures, 38, 1, 37-51

Liu J., He S., 2010, Properties of Love waves in layered piezoelectric structures, International

Journal of Solids and Structures, 47, 2, 169-174

Mindlin R.D., Tiersten H.F., 1962, Effects of couple-stresses in linear elasticity, Archive for

Rational Mechanics and Analysis, 11, 415-448

Sharma V., Kumar S., 2017, Dispersion of SH waves in a viscoelastic layer imperfectly bonded

with a couple stress substrate, Journal of Theoretical and Applied Mechanics, 55, 2, 535-546

Singh A.K., Kumar S., Chattopadhyay A., 2015, Love-type wave propagation in a piezoelectric

structure with irregularity, International Journal of Engineering Science, 89, 35-60

Vardoulakis I., Georgiadis H.G., 1997, SH surface waves in a homogeneous gradient-elastic

half-space with surface energy, Journal of Elasticity, 47, 2, 147-165

Voigt W., 1887, Theoretical Studies on the Elasticity Relationships of Crystals (in German),

Abhandlungen der Gesellschaft der Wissenschaften zu Gttingen, 34

Wang H.M., Zhao Z.C., 2013, Love waves in a two-layered piezoelectric/elastic composite plate

with an imperfect interface, Archive of Applied Mechanics, 83, 1, 43-51

Wang Q., 2002, Wave propagation in a piezoelectric coupled solid medium, Journal of Applied

Mechanics, 69, 6, 819-824

Wang Y.,Wang M., Liu J., 2012, Propagation behaviors of SH waves in piezoelectric layer/elastic

cylinder with an imperfect interface, Applied Mechanics and Materials, 151, 130-134

Wei W., Liu J., Fang D., 2009, Shear horizontal surface waves in a piezoelectric-piezomagnetic

coupled layered half-space, International Journal of Nonlinear Sciences and Numerical Simulation,

, 6, 767-778