Radially polarized functionally graded piezoelectric hollow cylinders as sensors and actuators

• Published in: European journal of mechanics, A, Solids A, Solids, 2010-07, Vol.29 (4), p.704-713
• Main Authors: Li, Xian-Fang, Peng, Xu-Long, Lee, Kang Yong
• Format: Article
• Language: English
• Subjects: Actuators; Arbitrary gradient; Cylindrical sensors and actuators; Exact sciences and technology; Functionally graded materials; Functionally gradient materials; Fundamental areas of phenomenology (including applications); General equipment and techniques; Instruments, apparatus, components and techniques common to several branches of physics and astronomy; Mathematical analysis; Mathematical models; Physics; Piezoelectric ceramics; Piezoelectricity; Radially polarized piezoceramic; Sensors; Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Transducers; Tubes
• ISSN: 0997-7538; 1873-7285
• DOI: 10.1016/j.euromechsol.2010.02.003

An axisymmetric electroelastic problem of hollow radially polarized piezoceramic cylinders made of functionally graded (FG) materials is analyzed. For the material properties of power-law profile, a closed-form solution is derived. For a general gradient variation, an analytic approach is suggested, which reduces the problem to a Fredholm integral equation. Solving the resulting equation, the response of the electroelastic field can be determined. No severe limitation is required for varying material properties in this method. Numerical results of a cylindrical FG piezoelectric tube with PZT-5H as the inner surface ceramic are evaluated, and the distribution of the radial and circumferential stresses as well as the electric potential for piezoelectric sensors and actuators are presented graphically under electric and mechanical stimuli, respectively. Our results indicate that the electroelastic response in an FG piezoceramic tube with material properties decreasing when the radius increases becomes more obvious than that with material properties increasing. Moreover, the gradient index strongly affects the stress distribution and electric response. The obtained results are helpful for the design of annular cylindrical FG piezoelectric sensors/actuators.