Piezoelectric hollow cylinder with thermal gradient

Abstract

The coupling nature of piezoelectric materials has acquired wide applications in electric-mechanical and electric devices. Recent advances in smart structures technology have led to a resurgence of interest in piezoelectricity, and in particular, in the solution of fundamental boundary value problems. In this paper, an analytic solution to the axisymmetric problem of a radially polarized, radially orthotropic piezoelectric hollow cylinder with thermal gradient is developed. An analytic solution to the governing equilibrium equations (a coupled system of second-order ordinary differential equations) is obtained. On application of the boundary conditions, the problem is reduced to solving a system of linear algebraic equations. The stress and potential field distributions in the cylinder are obtained numerically for two piezoceramics. It is shown that the hoop stresses in a cylinder composed of these materials can be decreased throughout the cross-section by applying an appropriate set of boundary conditions.

Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder

“…As can be seen from Fig. 3, radial stresses are constant with respect to time at the interior and exterior surfaces of the cylinder, satisfying the constant Table 1 Mechanical, thermal and electrical properties of PZT_5 [5,11]. Table 2.…”

“…Babaei and Chen [4] continued the work of Chen and Shi [3] and found that hoop stress does not decrease below a fixed amount irrespective of electric boundary conditions. However, Saadatfar and Razavi [5] analyzed the stresses in piezoelectric hollow cylinder with thermal gradient and demonstrated that the amount of hoop stress resulting from mechanical loads could be reduced by imposing a suitable electrical field. Khoshgoftar et al [6] worked on a combination of the above factors and studied thermopiezoelectric behavior of a thick-walled cylinder made of functionally graded piezoelectric materials under a thermal gradient as well as inner and outer pressures.…”

Agglomeration effects on electro‐magneto‐thermo elastic behavior of nano‐composite piezoelectric cylinder

“…Their results showed that an existing mechanical hoop stress distribution could be neutralized by a suitably applied electric field. Saadatfar and Razavi analyzed the stress in piezoelectric hollow cylinder with thermal gradient. An analytic solution to the axisymmetric problem of an infinitely long, radially polarized, radially orthotropic piezoelectric hollow circular cylinder rotating about its axis at constant angular velocity was also developed by Galic and Horgan .…”

Thermoelastic analysis of a rotating functionally graded cylindrical shell with functionally graded sensor and actuator layers on an elastic foundation placed in a constant magnetic field

“…Piezoelectric materials are one of the smart materials currently being used in structures to control deformation, vibration, buckling, and so on (Behjat et al, 2009;Bhattacharya et al, 1998;Brischetto and Carrera, 2009;Ghorbanpour Arani et al, 2006;Komijani et al, 2013;Saadatfar and Rastgoo, 2008;Saadatfar and Razavi, 2009). In recent years, smart structures including functionally graded materials (FGMs) or multilayered composite members bonded with piezoelectric actuators and sensors are extensively investigated.…”