Thermo-Elasticity Solution of Functionally Graded Plates Integrated with Piezoelectric Sensor and Actuator Layers

Alibeigloo, A.

doi:10.1080/01495739.2010.482350

Cited by 12 publications

(7 citation statements)

References 18 publications

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“…A simply-supported square FGM plate with viscoelastic behavior sandwiched between two piezoelectric layers is considered. The material properties of the two piezoelectric layers are given in Table 1 (Alibeigloo 2010). The relaxation time constant is s ¼ 5s, the Poison ratio is v ¼ 0:3 and the parameters for the Prony series, related to Eq.…”

Section: Numerical Resultsmentioning

confidence: 99%

Three-dimensional static analysis of a viscoelastic rectangular functionally graded material plate embedded between piezoelectric sensor and actuator layers

Feri

Krommer

Alibeigloo

2021

Mechanics Based Design of Structures and Machines

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The three-dimensional bending behavior of a viscoelastic functionally graded material (FGM) layer embedded between piezoelectric layers and subjected to an electric field as well as a uniform transverse pressure is studied. An analytical solution is computed for a simply supported viscoelastic smart FGM plate using the state space technique along the thickness direction and a Fourier expansion along the in-plane coordinates. The governing differential equations in the time domain are transformed to the Laplace domain, solved in the Laplace domain, and transformed back to the time domain using the inverse Laplace transform. In the present study, the relaxation modulus of the FGM layer is assumed in the form of a Prony series, and it varies according to the power law in the thickness direction. The validity of the proposed approach is assessed by comparison of the numerical results of the approach with those of published works in the literature. The effects of geometric dimensions, electromechanical loads, and relaxation time constant on the behavior of the smart plate are investigated.

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Section: Numerical Resultsmentioning

confidence: 99%

Three-dimensional static analysis of a viscoelastic rectangular functionally graded material plate embedded between piezoelectric sensor and actuator layers

Feri

Krommer

Alibeigloo

2021

Mechanics Based Design of Structures and Machines

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“…Electric displacement at the lower surface of the actuator layer is calculated by using Equation (38) [38]:…”

Section: Piezoelectric Layermentioning

confidence: 99%

Three-Dimensional Thermoelasticity Analysis of Viscoelastic FGM Plate Embedded in Piezoelectric Layers under Thermal Load

2022

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Due to the high importance of viscoelastic materials in modern industrial applications, besides the intensive popularity of piezoelectric smart structures, analyzing their thermoelastic response in extreme temperature conditions inevitably becomes very important. Accordingly, this research explores the thermoviscoelastic response of sandwich plates made of a functionally-graded Boltzmann viscoelastic core and two surrounding piezoelectric face-layers subjected to electrothermal load in the platform of three-dimensional elasticity theory. The relaxation modulus of the FG viscoelastic layer across the thickness follows the power law model. the plate’s governing equations are expressed in the Laplace domain to handle mathematical complications corresponding to the sandwich plate with a viscoelastic core. Then, the state-space method, combined with Fourier expansion, is utilized to extract the plate response precisely. Finally, the obtained solution is converted to the time domain using the inverse Laplace technique. Verification of the present formulation is compared with those reported in the published papers. Finally, the influences of plate dimension, temperature gradient, and relaxation time constant on the bending response of the above-mentioned sandwich plate are examined. As an interesting finding, it is revealed that increasing the length-to-thickness ratio leads to a decrease in deflections and an increase in stresses.

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“…Alibeigloo [27] carried out an exact solution for three dimensional thermo-elastic analysis of FG rectangular plate with simply supported edges and subjected to thermo-mechanical loads. Moreover, he [28] studied the thermo-elastic behavior of FG rectangular plate with simply supported edges and integrated with piezoelectric sensor and actuator layers under the effect of electrical field and thermo-mechanical loads based on piezoelasticity theory. He derived analytical solutions for the temperature, stress and displacement fields by using the Fourier series and state space method.…”

Section: Introductionmentioning

confidence: 99%

Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation

Rad

2015

Applied Mathematics and Computation

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Thermo-Elasticity Solution of Functionally Graded Plates Integrated with Piezoelectric Sensor and Actuator Layers

Cited by 12 publications

References 18 publications

Three-dimensional static analysis of a viscoelastic rectangular functionally graded material plate embedded between piezoelectric sensor and actuator layers

Three-dimensional static analysis of a viscoelastic rectangular functionally graded material plate embedded between piezoelectric sensor and actuator layers

Three-Dimensional Thermoelasticity Analysis of Viscoelastic FGM Plate Embedded in Piezoelectric Layers under Thermal Load

Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation

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