Abstract
Free vibration and static bending analysis of piezoelectric functionally graded material plates resting on one area of the two-parameter elastic foundation is firstly investigated in this paper. The third-order shear deformation theory of Reddy and 8-node plate elements are employed to derive the finite element formulations of the structures; this theory does not need any shear correction factors; however, the mechanical response of the structure is described exactly. Verification problems are performed to evaluate the accuracy of the proposed theory and mathematical model. A wide range of parameter study is investigated to figure out the effect of geometrical, physical, and material properties such as the plate dimension, volume fraction index, piezoelectric effect, elastic foundation coefficients, and the square size of the area of the foundation on the free vibration and static bending of piezoelectric functionally graded material plates. These numerical results of this work aim to contribute to scientific knowledge of these smart structures in engineering practice.
Highlights
Nowadays, due to the development of the science of technology, a huge range of smart materials such as functionally graded materials, shape memory alloys, shape memory polymers, magnetostrictive materials, and piezoelectric materials has been considered and applied to engineering practice, in which piezoelectric materials with mainly twocomponent actuators and sensors are employed and performed in a wide range of engineering structures [1,2,3,4,5]
This issue can be overcome by taking advantage of functionally graded piezoelectric materials (FGPM)
In this work, we do not need to talk about the basic information of FGM structures as several types of FGM materials such as power-law functionally graded materials (P-FGM), sigmoid law functionally graded materials (S-FGM), and exponential law functionally graded materials (E-FGM) were presented in detail in [17, 18]. e mechanical performances of these FGM structures are investigated in the following papers
Summary
Due to the development of the science of technology, a huge range of smart materials such as functionally graded materials, shape memory alloys, shape memory polymers, magnetostrictive materials, and piezoelectric materials has been considered and applied to engineering practice, in which piezoelectric materials with mainly twocomponent actuators and sensors are employed and performed in a wide range of engineering structures [1,2,3,4,5]. Tinh et al [19] studied mechanical behaviors of heated functionally graded plates in the high-temperature environment by using the finite element method and a new third-order shear deformation plate theory. Nguyen and his coworkers [20] investigated the mechanical buckling of stiffened functionally graded material (FGM) plates. Mokhtar et al [47] employed a four-variable quasi-3D HSDT to give out the exact solution for the static and vibration problems of thick advanced composite plates Sara and her coworkers [48] studied the buckling response of FG Sandwich plates resting on elastic foundation based on a novel four-unknown integral model.
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