The static response of functionally graded radially polarized piezoelectric spherical shells as sensors and actuators

Abstract

This paper analyzes the static response of a functionally graded spherical shell made of piezoelectric materials. A hollow piezoelectric sphere is polarized in the radial direction. Spherically symmetric problems of piezoelectric spherical shells as sensors or actuators are considered. For the gradient of power-law behavior, closed-form explicit expressions for the electroelastic field are derived. These solutions can serve as benchmarks for functionally graded piezoelectric hollow spheres. For arbitrarily varying gradient, an analytic approach for reducing the problem to a Fredholm integral equation is suggested to obtain the responses of the electroelastic field. Numerical results for a spherical piezoelectric vessel are obtained for special radial nonhomogeneity, and the distribution of the radial and circumferential stresses as well as the response of the electric potential for sensors and actuators are presented graphically under electrical and mechanical stimuli, respectively. Our results indicate that the gradient index strongly affects the stress distribution and electric response. The obtained results are helpful for optimizing the design of hollow spherical piezoelectric transducers.

A spherical smart aggregate sensor based electro-mechanical impedance method for quantitative damage evaluation of concrete

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Feasibility Study of Interlayer Slide Monitoring Using Postembedded Piezoceramic Smart Aggregates

“…Piezoceramic materials, with the unique advantages of wide bandwidth, low cost, small size, embeddability, and dual actuation/sensing function, have been actively researched in structural health monitoring (SHM) for many years [16][17][18][19][20][21][22][23][24][25][26][27][28]. The unique properties of piezoceramic materials have led to a wide variety of research, including material modeling [29][30][31], sensor development [32][33][34][35], energy harvesting [36][37][38][39][40][41], actuation, and sensing mechanisms [42,43], among others. One particular piezoceramic material, lead zirconate titanate (PZT), has a strong piezoelectric effect and is commonly used.…”

Modeling and analysis of multilayer piezoelectric-elastic spherical transducers

“…All of the piezoelectric layers are polarized in the radial direction and are connected in parallel electrically. For the i th piezoelectric layer, the linear constitutive equations for spherically symmetric problem can be expressed as (Dai et al, 2010; Ding et al, 2003; Ghorbanpour et al, 2006; Li et al, 2010; Wang and Ding, 2006)…”