Buckling, free vibration and bending analysis of functionally graded sandwich plates based on an optimized hyperbolic unified formulation

Mantari, J.L.; Monge, J.C.

doi:10.1016/j.ijmecsci.2016.10.015

Cited by 49 publications

(12 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Results reveal that nondimensional critical buckling load decreases with the increase of power index [78,[85][86][87][88][89][90]. In addition, nondimensional critical buckling load increases with the increase of modulus ratio, aspect ratio [86,87], and thickness ratio [88,[91][92][93] of FG plates. Under shear loads, buckling load decreases by increasing the area of rectangular plate (Asemi et al [94]).…”

Section: Buckling Analysis Of Fgmmentioning

confidence: 90%

“…In-plan material inhomogeneity plays a vital role to avoid buckling in FG thin plates (Lanc et al [101]). Mantari and Monge [88] suggested buckling optimization to examine buckling of FG Sandwich plates. e critical buckling load using shear deformation theory is lesser than the values obtained by first-order shear deformation theory.…”

Section: Buckling Analysis Of Fgmmentioning

confidence: 99%

See 1 more Smart Citation

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

View full text Add to dashboard Cite

Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

show abstract

Section: Buckling Analysis Of Fgmmentioning

confidence: 90%

Section: Buckling Analysis Of Fgmmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

View full text Add to dashboard Cite

show abstract

“…83 A unified formulation coupled with collocation with radial basis functions was proposed; a thickness-stretching HSDT was successfully implemented for the analysis of FG plates 84 and no shear correction factor is required 85 ; and optimized hyperbolic displacement under Carrera's unified formulation (CUF) is presented for FG sandwich plates. 86 A displacement-based unified shear deformation theory is developed for the analysis of shear-deformable advanced composite beams and plates. The theory is developed with the inclusion of parabolic (PSDT), trigonometric (TSDT), hyperbolic (HSDT), and exponential (ESDT) shape functions in terms of thickness coordinate to account for the effect of transverse shear deformation.…”

Section: Figure 1 Geometry and Coordinates Of A Sandwich Platementioning

confidence: 99%

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

Kumar¹,

Srinivasa²

2018

Journal of Thermoplastic Composite Materials

View full text Add to dashboard Cite

Many review articles were published on free vibration and buckling of laminated composites, sandwich plates, and shells. The present article reviews the literature on the buckling and free vibration analysis of shear deformable isotropic and laminated composite sandwich plates and shells using various methods available for plates in the past few decades. Various theories, finite element modeling, and experimentations have been reported for the analysis of sandwich plates and shells. Few papers on functionally graded material plates, plates with smart skin (electrorheological, magnetorheological, and piezoelectric), and also viscoelastic materials were also reviewed. The scope for future research on sandwich plates and shells was also accessed.

show abstract

“…[8] presented refined zig-zag theory for the bending and free vibration analysis of FG sandwich plates, both fully simply supported and clamped along one edge, and subjected to bi-sinusoidal and uniform pressure. Mantari and Monge [9] obtained analytical solutions for the bending, buckling and free vibration analysis of simply-supported FG sandwich plates subjected to transverse and axial mechanical loads using optimized HSDT based on Carrera’s unified formulation. Meksi et al.…”

Section: Introductionmentioning

confidence: 99%

A unified five-degree-of-freedom theory for the bending analysis of softcore and hardcore functionally graded sandwich beams and plates

Sayyad

Ghugal²

2019

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

A unified five-degree-of-freedom shear deformation theory is developed for the bending analysis of softcore and hardcore functionally graded sandwich beams and plates. The theory is developed with the inclusion of various shape functions to account for the effect of transverse shear deformation. The governing equations are derived from the principle of virtual work. Sandwich beams and plates have functionally graded skins and two types of homogenous core (softcore and hardcore). The material properties of functionally graded skins are graded through the thickness according to the power-law distribution. Closed-form solutions are obtained for the simply-supported functionally graded sandwich beams and plates using Navier’s solution technique. The non-dimensional numerical values of displacements and stresses are obtained for uniformly distributed loads and various values of the power law index and skin-core-skin thickness ratios. Effects of softcore and hardcore on the non-dimensional displacements and stresses are carefully discussed. It is concluded that the variations in the numerical values of transverse deflection and through-the-thickness distributions of stresses are opposite in nature for softcore and hardcore sandwich beams and plates due to change in material properties.

show abstract

Buckling, free vibration and bending analysis of functionally graded sandwich plates based on an optimized hyperbolic unified formulation

Cited by 49 publications

References 57 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

A unified five-degree-of-freedom theory for the bending analysis of softcore and hardcore functionally graded sandwich beams and plates

Contact Info

Product

Resources

About