Exact Thermoelastic Solution of Functionally Graded Piezoelectric Cylinder under Thermal Gradient, Centrifugal Loading and Internal Pressure

Piezoelectricity is the charge that accumulates in certain solid materials (notably crystals, certain ceramics, and biological matter such as bone, DNA and variousproteins) in response to applied mechanical stress. The piezoelectric effect is understood as the linear electromechanical interaction between the mechanicaland the electrical state in crystalline materials with no inversion symmetry. The piezoelectric effect is a reversible process in that materials exhibiting the directpiezoelectric effect (the internal generation of electrical charge resulting from an applied mechanical force) alsoexhibit the reverse piezoelectric effect (the internal generation of a mechanical strain resulting from an applied electrical field). Piezoelectricity is found inuseful applications such as the production and detection of sound, generation of high voltages, electronic frequency generation, microbalances, and ultrafinefocusing of optical assemblies. In this study, an exact thermoelastic solution of functionally graded piezoelectric cylinder under thermalgradient, centrifugal loading and internal pressure is presented. In this paper, the effect of angular velocity ondistribution of the mechanical deflection and electrical displacement are investigated. In order to model the nonhomogeneous material, all of the mechanical,magnetic and thermal properties except Poisson's ratio are considered as power law respect to radial coordinates. Optimization of the parameter inapplications like sensors is accessible by having the exact solution. Finally numerical results in variation of nonhomogeneous parameters are investigated.

Keywords:

exact solution , thermoelastic , piezoelectric , angular velocity , steady state