Love wave propagation in functionally graded piezoelectric material layer

Ultrasonics ◽  
2007 ◽  
Vol 46 (1) ◽  
pp. 13-22 ◽  
Author(s):  
Jianke Du ◽  
Xiaoying Jin ◽  
Ji Wang ◽  
Kai Xian
2018 ◽  
Vol 29 (9) ◽  
pp. 1928-1940 ◽  
Author(s):  
Abhishek Kumar Singh ◽  
Amrita Das ◽  
Anusree Ray ◽  
Amares Chattopadhyay

Green’s function plays an important role in solving the problems concerning point action or impulse responsible for wave motions in materials. Prime objective of the this article is to investigate the propagation behaviour of Love-type wave influenced by a point source in a composite structure comprising a functionally graded piezoelectric material layer lying over a functionally graded fibre-reinforced material half-space. Green’s function technique is adopted in order to obtain the dispersion equation, which is further reduced to the classical Love wave equation as a particular case of the problem. The effect of increasing thickness of functionally graded piezoelectric material layer on the circular frequency and wave number is unravelled and depicted graphically. Moreover, influence of heterogeneity, piezoelectricity and dielectric constant associated with functionally graded piezoelectric material layer and effect of heterogeneity parameter and corresponding magnification factor concerned with functional gradedness of functionally graded fibre-reinforced material half-space have been reported through numerical computation and graphical delineation. For sake of computation, numerical data of PZT-5H ceramics for the functionally graded piezoelectric material layer and carbon-fibre epoxy-resin for functionally graded fibre-reinforced material half-space have been considered. Comparative study is performed to elucidate the effect of presence and absence of reinforcement in functionally graded half-space on the phase velocity of Love-type wave propagating in composite structure.


2019 ◽  
Vol 30 (18-19) ◽  
pp. 2789-2807 ◽  
Author(s):  
Pulkit Kumar ◽  
Moumita Mahanty ◽  
Amares Chattopadhyay ◽  
Abhishek Kumar Singh

The primary objective of this article is to investigate the behaviour of horizontally polarized shear (SH) wave propagation in piezoelectric composite structure consisting of functionally graded piezoelectric material layer imperfectly bonded to functionally graded porous piezoelectric material half-space. The linear form of functional gradedness varying continuously along with depth is considered in both functionally graded piezoelectric material layer and functionally graded porous piezoelectric material half-space. The interface of the composite structure is considered to be damaged mechanically and/or electrically. Wentzel–Kramers–Brillouin asymptotic approach is adopted to solve the coupled electromechanical field differential equations of both functionally graded piezoelectric material layer and functionally graded porous piezoelectric material half-space. An analytical treatment has been employed to determine the dispersion relations of propagating SH-wave for both electrically short and electrically open conditions, which further reduced to the pre-established and classical results as special case of the problem. The effect of various affecting parameters, namely, functional gradedness, wave number, mechanical/electrical imperfection parameters in the presence and absence of porosity on the phase velocity of SH-wave, has been reported through numerical computation and graphical demonstration. In addition, the variation of the coupled electromechanical factor with dimensionless wave number and cut-off frequency with different modes of propagation of wave for electrically short and electrically open cases has also been discussed.


2017 ◽  
Vol 21 (8) ◽  
pp. 2921-2948 ◽  
Author(s):  
Sanjeev A Sahu ◽  
Sonali Mondal ◽  
Nidhi Dewangan

This article investigates the propagation behaviour of horizontally polarized shear waves in a layered composite structure. In the considered model, a functionally graded piezoelectric material layer is sandwiched between corrugated piezomagnetic layer and elastic substrate. Method of separation of variables is used to obtain the displacement components in all three mediums. Dispersion relation has been established in the determinant form for the two cases, magneto-electrically open case and magneto-electrically short case. Effects of material gradient (of functionally graded piezoelectric material layer), corrugation parameters and layer width are distinctly marked and represented graphically. This study finds its application towards manufacturing and optimization of piezoelectric sensors and transducers. Also, the obtained result may be utilized for acquiring a better performance in surface acoustic wave devices.


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