The effect of initial stress on the propagation behavior of SH waves in piezoelectric coupled plates.

This study analytically investigates the propagation of shear waves (SH waves) in a coupled plate consisting of a piezoelectric layer and an elastic layer with initial stress. The piezoelectric material is polarized in z-axis direction and perfectly bonded to an elastic layer. The mechanical displacement and electrical potential function are derived for the piezoelectric coupled plates by solving the electromechanical field equations. The effects of the thickness ratio and the initial stress on the dispersion relations and the phase and group velocities are obtained for electrically open and mechanically free situations. The numerical examples are provided to illustrate graphically the variations of the phase and group velocities versus the wave number for the different layers comparatively. It is seen that the phase velocity of SH waves decreases with the increase of the magnitude of the initial compression stress, while it increases with the increase of the magnitude of the initial tensile stress. The initial stress has a great effect on the propagation of SH waves with the decrease of the thickness ratio. This research is theoretically useful for the design of surface acoustic wave (SAW) devices with high performance.

[1]  S. Hirose,et al.  Transverse surface waves in a piezoelectric material carrying a gradient metal layer of finite thickness , 2009 .

[2]  K. Y. Lam,et al.  Characteristics of waves in a functionally graded cylinder , 2002 .

[3]  Z. Kuang,et al.  Propagation of Bleustein-Gulyaev waves in a prestressed layered piezoelectric structure. , 2003, Ultrasonics.

[4]  Junji Tani,et al.  SH surface waves in functionally gradient piezoelectric material plates , 1992 .

[5]  T. Lu,et al.  Transverse surface waves in a layered structure with a functionally graded piezoelectric substrate and a hard dielectric layer. , 2009, Ultrasonics.

[6]  K. Kishimoto,et al.  Propagation behavior of Love waves in a functionally graded half-space with initial stress , 2009 .

[7]  Gui-rong Liu,et al.  Elastic waves in a functionally graded piezoelectric cylinder , 2003 .

[8]  Singiresu S. Rao,et al.  Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey , 1994 .

[9]  Transverse surface waves in a 6 mm piezoelectric material carrying a prestressed metal layer of finite thickness , 2009 .

[10]  K. Kishimoto,et al.  Propagation behavior of Love waves in a piezoelectric layered structure with inhomogeneous initial stress , 2005 .

[11]  順二 谷 傾斜機能圧電平板の波動伝播特性と応答解析 : 第2報, 計算結果 , 1991 .

[12]  R. G. Curtis,et al.  Transverse surface waves on a piezoelectric material carrying a metal layer of finite thickness , 1973 .

[13]  Zikun Wang,et al.  The propagation behavior of Love waves in a functionally graded layered piezoelectric structure , 2005 .

[14]  Tie-jun Wang,et al.  Effect of initial stress on the propagation behavior of Love waves in a layered piezoelectric structure , 2001 .

[15]  K. Kishimoto,et al.  Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness , 2007 .

[16]  K. Uchino Materials issues in design and performance of piezoelectric actuators: an overview , 1998 .

[17]  H. L,et al.  Some Problems of Geodynamics , 1912, Nature.

[18]  Xu Han,et al.  Effects of SH waves in a functionally graded plate , 2002 .

[19]  K. Kishimoto,et al.  Transverse surface waves in a functionally graded piezoelectric substrate coated with a finite-thickness metal waveguide layer , 2009 .

[20]  K. Kishimoto,et al.  Love waves propagation in a piezoelectric layered structure with initial stresses , 2004 .

[21]  K. Kishimoto,et al.  Transverse surface waves in an FGM layered structure , 2009 .

[22]  K. Kishimoto,et al.  Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures , 2004 .

[23]  S. Hirose,et al.  Effect of initial stress on Love waves in a piezoelectric structure carrying a functionally graded material layer. , 2010, Ultrasonics.

[24]  順二 谷 傾斜機能圧電平板の波動伝播特性と応答解析 : 第1報, 解析手法 , 1991 .

[25]  Bernhard Jakoby,et al.  Properties of Love waves: applications in sensors , 1997 .

[26]  S. Hirose,et al.  Effects of material gradient on transverse surface waves in piezoelectric coupled solid media , 2009 .

[27]  K. Kishimoto,et al.  Transverse surface waves in functionally graded piezoelectric materials with exponential variation , 2008 .