A comprehensive analysis of functionally graded sandwich plates: Part 1—Deflection and stresses

Zenkour, Ashraf M.

doi:10.1016/j.ijsolstr.2005.02.015

Cited by 332 publications

(158 citation statements)

References 22 publications

Supporting

Mentioning

144

Contrasting

Unclassified

Order By: Relevance

“…This is due to the different approaches used to predict the transverse shear stresses. In this study, the transverse shear stresses are obtained using equilibrium equations while those given by Zenkour [1] are computed from constitutive equations.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…It is observed from the literature that most studies on FG sandwich plates are based on HSDTs. Zenkour [1][2] used a sinusoidal shear deformation theory (SSDT) to study the bending, buckling and free vibration of FG sandwich plates with FG face sheets and a homogeneous core. The behavior of FG sandwich plates under thermal environment was also studied by Zenkour and his colleagues [3][4][5] using FSDT, SSDT and third-order shear deformation theory (TSDT) of Reddy [6].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Thai

Nguyen

et al. 2014

European Journal of Mechanics - A/Solids

226

View full text Add to dashboard Cite

In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of shear correction factor is no longer necessary in the present theory since the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. Equations of motion are derived from Hamilton's principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order shear deformation theory is not only more accurate than the conventional one, but also comparable with higher-order shear deformation theories which have a greater number of unknowns.

show abstract

Section: Analytical Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Thai

Nguyen

et al. 2014

European Journal of Mechanics - A/Solids

226

View full text Add to dashboard Cite

show abstract

“…Thus there is no need to use shear correction factors as in the case of TBT. This theory is also employed to predict the response of laminate plate [21] and functionally graded sandwich plates [22][23][24]. The aim of this paper is to propose a nonlocal sinusoidal theory which accounts for both small scale and shear deformation effects of nanobeams.…”

Section: Introductionmentioning

confidence: 99%

A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams

Thai

2012

International Journal of Engineering Science

198

View full text Add to dashboard Cite

“…Li et al [31] studied free vibrations of FGSW rectangular plates with simply supported and clamped edges. Zenkour [32,33] presented a two-dimensional solution to study the bending, buckling and free vibration of simply supported FG ceramic-metal sandwich plates. Sharma and Marin [34] considered wave propagation in micropolar thermoelastic solid half space with distinct conductive and thermodynamic temperatures.…”

Section: Introductionmentioning

confidence: 99%

An Elasticity Solution for Vibration Analysis of Laminated Plates with Functionally Graded Core Reinforced by Multi-walled Carbon Nanotubes

Tahouneh

2017

Period. Polytech. Mech. Eng.

View full text Add to dashboard Cite

In the present work, vibration characteristics of functionally graded (FG) Keywords multiwalled carbon nanotubes, vibration, sandwich plates, modified Halpin-Tsai equation, three-dimensional elasticity solution IntroductionNowadays, the use of carbon nanotubes in polymer/carbon nanotube composites has attracted wide attention [1]. A high aspect ratio, low weight of CNTs and their extraordinary mechanical properties (strength and flexibility) provide the ultimate reinforcement for the next generation of extremely lightweight but highly elastic and very strong advanced composite materials. On the other hand, by using of the polymer/CNT composites in advanced composite materials, we can achieve structures with low weight, high strength and high stiffness in many structures of civil, mechanical and space engineering.Several researches have recently investigated the elastic properties of multiwalled carbon nanotube (MWCNT) and their composites [2,3]. Gojny et al. [4] focused on the evaluation of the different types of the CNTs applied, their influence on the mechanical properties of epoxy-based nanocomposites and the relevance of surface functionalization. Therefore, the study of the mechanical performance of CNT-based composites and the discovery of possible innovative applications has recently attracted the interest of many researchers.Several researchers have reported that mechanical properties of polymeric matrices can be drastically increased [5,6] by adding a few weight percent (wt%) MWCNTs. Montazeri et al. [5] showed that modified Halpin-Tsai equation with exponential Aspect ratio can be used to model the experimental result of MWCNT composite samples. They also demonstrated that reduction in Aspect ratio (L/d) and nanotube length cause a decrease in aggregation and above 1.5 wt%, nanotubes agglomerate causing a reduction in Young's modulus values. Thus, it is important to determine the effect Aspect ratio and arrangement of CNTs on the effective properties of carbon nanotube-reinforced composite (CNTRC). Yeh et al. [6] used the Halpin-Tsai equation to shows the effect of MWCNT shape factor (L/d) on the mechanical properties. They showed that the mechanical properties of nanocomposite samples with the higher shape factor (L/d) values were better than the ones with the lower shape factor. The reinforcement effect of MWCNTs with different aspect ratio in an epoxy matrix has been carried out by Martone et al. [7]. They showed that progressive reduction of

show abstract

A comprehensive analysis of functionally graded sandwich plates: Part 1—Deflection and stresses

Cited by 332 publications

References 22 publications

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams

An Elasticity Solution for Vibration Analysis of Laminated Plates with Functionally Graded Core Reinforced by Multi-walled Carbon Nanotubes

Contact Info

Product

Resources

About