A general plane-stress solution in cylindrical coordinates for a piezothermoelastic plate

Ashida, Fumihiro; Tauchert, Theodore R.

doi:10.1016/s0020-7683(00)00321-8

Cited by 38 publications

(25 citation statements)

References 19 publications

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“…It is easily found that, with increasing temperature rise, the output of the mentioned components will increase. The effect of the temperature rise on the electric potential output in the double-layered cylinder is consistent with that found in the investigations on the piezo-thermoelastic plate and shell [9,18].…”

Section: Numerical Results and Discussionsupporting

confidence: 89%

“…Therefore the mechanical response of structures excited by thermal loading is of increasing interest in engineering research and a large number of investigations have been made on these subjects. For example, theoretical analysis of the control of displacement was developed for a composite rectangular plate constructed from an isotropic elastic layer and a piezoelectric layer due to nonuniform heat supply [7], and the thermal stress distribution in a particle-reinforced functionally gradient material (FGM) [8] or piezo-thermoelastic plate [9,10] was obtained. On the other hand, the investigation of the effects of temperature on piezoelectric sensors found that even moderate fluctuations of temperature within 200 • C could significantly change the voltage reading from the sensors [11].…”

Section: Introductionmentioning

confidence: 99%

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Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings

Chen

Shi

2006

Arch Appl Mech

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In the present paper, a long thick-walled piezo-thermoelastic hollow cylinder with double layers is studied. The effects of temperature on the performance of the cylinder are obtained. Based on the theory of elasticity, the exact solutions of the cylinder under some coupled loadings are found. In the present paper, differences of a piezoelectric parameter between the two layers is taken into account. For comparison, numerical results have been carried out for both double-layered and graded cylinders. At the end of the present paper some discussions are addressed.

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Section: Numerical Results and Discussionsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings

Chen

Shi

2006

Arch Appl Mech

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“…As expected, the nondimensionalized longitudinal stress s s 11 is discontinuous at the interfaces between the laminae due to the abrupt change in material properties. However, the transverse shear stresses s s 13 and s s 23 , shown in Figures 6ðc; d), are continuous at points on the interfaces. …”

Section: Thickness Poled Piezoelectric Materialsmentioning

confidence: 96%

“…Cheng and Batra [22] used a three-dimensional asymptotic scheme to analyze thermopiezoelectric laminates. Ashida and Tauchert [23] derived solutions for circular thermopiezoelectric plates having arbitrary edge conditions using potential functions. Yang and Batra [24] analyzed the damping introduced by heat conduction in steady-state vibrations of a thermopiezoelectric plate.…”

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confidence: 99%

Generalized Plane Strain Thermopiezoelectric Analysis of Multilayered Plates

Vel

Batra

2003

Journal of Thermal Stresses

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The generalized plane strain thermopiezoelectric deformations of laminated thick plates are analyzed using the Eshelby-Stroh formalism. The laminated plate consists of homogeneous laminae of arbitrary thicknesses. The three-dimensional equations of linear anisotropic thermopiezoelectricity simplified to the case of generalized plane strain deformations are exactly satisfied at every point in the body. The analytical solution is in terms of an infinite series. The continuity conditions at the interfaces and boundary conditions at the top and bottom surfaces and edges are used to determine coefficients in the series. The formulation admits different thermal, electrical, and mechanical boundary conditions at the edges of each lamina and is applicable to thick and thin laminated plates. Laminated plates containing piezoelectric laminae poled either in the thickness direction or in the axial direction are analyzed, and results are presented for plates with edges either rigidly clamped, simply supported, or traction-free.Smart structures, consisting of piezoelectric materials integrated with structural systems, have found widespread use in engineering applications. Piezoelectric materials are capable of altering the structure's response through sensing, actuation, and control. They exhibit two basic electromechanical phenomena that have led to their use as sensors and actuators in the control of structural systems. In sensor applications, an applied mechanical strain induces an electric potential in the material due to the direct piezoelectric effect; whereas in actuator applications, an applied electric field causes the material to deform. Of the 21 crystal classes that

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“…Many analytical studies concerning piezoelastic or piezothermoelastic problems have been reported, and their several books have been published [1]. A theoretical analysis of the control of displacement was developed for a composite rectangular plate constructed from an isotropic elastic layer and a piezoelectric layer due to non-uniform heat supply [2], and a piezothermoelastic plate [3,4] was obtained. In the case of spherical structures, Shul'ga [5] studied the radial electroelastic vibrations in a hollow piezoceramic sphere.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere

Barati

Jabbari

2015

Acta Mech

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A two-dimensional analytical piezothermoelastic solution for a functionally graded material (FGM) hollow sphere with integrated piezoelectric layers as a sensor and actuator subjected to non-axisymmetric loads is carried out. A feedback gain control algorithm is used for the active control of stress and displacement of an FGM hollow sphere. The material properties of the FGM layer are assumed to be graded in the radial direction according to a power law function. Governing differential equations are developed in terms of the components of the displacement field, the electric potential, and the temperature of each layer of the smart FGM hollow sphere. These equations are solved analytically using the Legendre polynomials and the system of Euler differential equations. The effects of grading index of material properties and feedback gain on the mechanical-electrical responses are demonstrated in detail.

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A general plane-stress solution in cylindrical coordinates for a piezothermoelastic plate

Cited by 38 publications

References 19 publications

Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings

Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings

Generalized Plane Strain Thermopiezoelectric Analysis of Multilayered Plates

Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere

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