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Functionally graded material

About: Functionally graded material is a research topic. Over the lifetime, 4250 publications have been published within this topic receiving 99610 citations.


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TL;DR: In this paper, an elastic, rectangular, and simply supported, functionally graded material (FGM) plate of medium thickness subjected to transverse loading has been investigated, and the analytical solutions of P-, S- and E-FGM plates are proved by the numerical results of finite element method.

470 citations

Journal ArticleDOI
TL;DR: In this article, a non-classical microbeam model incorporating the material length scale parameter was proposed to capture the size effect of the FG microbeams and the governing equations and the related boundary conditions were derived using Hamilton's principle.

424 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element formulation based on the classical laminated plate theory is presented for the shape and vibration control of the functionally graded material (FGM) plates with integrated piezoelectric sensors and actuators.

407 citations

Journal ArticleDOI
TL;DR: In this paper, an efficient and simple higher order shear and normal deformation theory is presented for functionally graded material (FGM) plates, which accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements across the thickness.
Abstract: In this paper, an efficient and simple higher order shear and normal deformation theory is presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the present theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the present theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3-dimensional and quasi-3-dimensional solutions and those predicted by other plate theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.

407 citations

Journal ArticleDOI
TL;DR: In this paper, a refined trigonometric shear deformation theory (RTSDT) is presented for the thermoelastic bending analysis of functionally graded sandwich plates, where the displacement components are expressed by trigonometrical series representation through the plate thickness to develop a two-dimensional theory and gives rise to transverse shear stress variation.

403 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202351
2022111
2021327
2020313
2019315
2018277