EFFECT OF UNIAXIAL INITIAL STRESSES, PIEZOELECTRICITY AND THIRD ORDER ELASTIC CONSTANTS ON THE NEAR-SURFACE WAVES IN A STRATIFIED HALF-PLANE

Year 2017, , 1346 - 1357, 21.07.2017

İlkay Kurt

https://doi.org/10.18186/journal-of-thermal-engineering.330187

Cited By: 1

Abstract

Dispersion curves of a
system consisting of a piezoelectric covering layer and metal half-plane under
the uniaxial initial stresses perpendicular to the wave propagation direction
are obtained within the scope of the Three-dimensional Linearized Theory of
Elastic Waves in Initially Stressed Bodies. The elasticity relations of the
metal half-plane material are described by the Murnaghan potential. The
numerical results are discussed for PZT-2 covering layer and aluminum
half-plane material. The influence of the initial stresses, the
piezoelectricity of the covering layer, and the third order elastic constants
on the near-surface wave propagation velocity is illustrated.

Keywords

Uniaxial Initial Stress, Dispersion, Near-Surface Waves, Piezoelectric, Third Order Elastic Constants

References

• [1] 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.
• [2] Jin, F., Qian, Z., Wang, Z., & Kishimoto, K. (2005). Propagation behavior of Love waves in a piezoelectric layered structure with inhomogeneous initial stress. Smart materials and structures, 14(4), 515.
• [3] Kundu, S., Pandit, D. K., Gupta, S., & Manna, S. (2015). Love wave propagation in a fiber-reinforced medium sandwiched between an isotropic layer and gravitating half-space. Journal of Engineering Mathematics, 1-11.
• [4] Shams, M. (2016). Effect of initial stress on Love wave propagation at the boundary between a layer and a half-space. Wave Motion, 65, 92-104.
• [5] Abo-el-nour, N., & Alsheikh, F. A. (2009). Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses. Archive of Applied Mechanics, 79(9), 843-857.
• [6] Singh, B. (2010). Wave propagation in a prestressed piezoelectric half-space. Acta mechanica, 211(3-4), 337-344.
• [7] Kumari, P., Modi, C., & Sharma, V. K. (2016). Torsional waves in a magneto-viscoelastic layer over an inhomogeneous substratum. The European Physical Journal Plus, 131(8), 263.
• [8] Gupta, S., Ahmed, M., Manna, S., & Pramanik, A. (2015). Influence of Initial Stress and Inhomogeneity on Propagation of Torsional Type Surface Wave in a Crustal Layer. International Journal of Geomechanics, 06015012.
• [9] Akbarov, S. D. (2012). The influence of third order elastic constants on axisymmetric wave propagation velocity in the two-layered pre-stressed hollow cylinder. Computers, Materials, & Continua, 32(1), 29-60.
• [10] Akbarov, S. D., & Ozisik, M. (2003). The influence of the third order elastic constants to the generalized Rayleigh wave dispersion in a pre-stressed stratified half-plane. International journal of engineering science, 41(17), 2047-2061.
• [11] Jin, J., Wang, Q., & Quek, S. T. (2002). Lamb wave propagation in a metallic semi-infinite medium covered with piezoelectric layer. International journal of solids and structures, 39(9), 2547-2556.
• [12] Akbarov, S. D., Kurt, I., & Sezer, S. (2014, June). Dispersion of the near-surface waves in a system consisting of a pre-stressed piezoelectric covering layer and a pre-stressed metallic half-plane. In Book of abstract of the XVIII conference mechanics of composite materials, Riga, Latvia (Vol. 23, pp. 2-6).
• [13] Akbarov, S. (2015). Dynamics of Pre-Strained Bi-Material Elastic Systems: Linearized Three-Dimensional Approach. Springer.
• [14] Kurt, I., Akbarov, S. D., & Sezer, S. (2016). Lamb wave dispersion in a PZT/metal/PZT sandwich plate with imperfect interface. Waves in Random and Complex Media, 26(3), 301-327.
• [15] Kurt, I., Akbarov, S. D., & Sezer, S. (2016). The influence of the initial stresses on Lamb wave dispersion in pre-stressed PZT/Metal/PZT sandwich plates. Structural Engineering and Mechanics, 58(2), 347-378.
• [16] Guz, A.N., (2004). Elastic Waves in Bodies with Initial (Residual) Stresses. “ASK,” Kiev.
• [17] Yang, J. (2004). An introduction to the theory of piezoelectricity (Vol. 9). Springer Science & Business Media.
• [18] Pang, Y., Liu, J. X., Wang, Y. S., & Zhao, X. F. (2008). Propagation of Rayleigh-type surface waves in a transversely isotropic piezoelectric layer on a piezomagnetic half-space. Journal of Applied Physics, 103(7), 074901.