Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy's HSDT

Cong, Pham Hong; Trinh, Minh-Chien; Khoa, Nguyen Dinh; Duc, Nguyen Dinh

doi:10.1016/j.ast.2018.03.020

Cited by 165 publications

(46 citation statements)

References 29 publications

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“…In the literature of thermo-mechanical buckling analysis of FGP, the only used foundation model is the Pasternak model. FGP on Pasternak foundation has been analyzed using approximate analytical methods by Cong [25,37], Bakora [26], Duc [27,41], Bateni [42], Chikh [43], Yu [44], Fan [38] and Shen [45,46]. Whereas Mansouri [47] and Shams [48] used numerical methods.…”

Section: Fgp Resting On Elastic Foundationmentioning

confidence: 99%

A Review on Buckling Analysis of Functionally Graded Plates Under Thermo-Mechanical Loads

Hassan

Kurgan

2019

International Journal of Engineering and Applied Sciences

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Functionally graded materials (FGM) are increasingly used in the engineering field. In many applications, FGMs are modelled as plates. Plates made of functionally graded materials (FGPs) are mostly designed to perform under elevated temperatures. In those circumstances, they are often under the combined effect of thermal and mechanical loads. There have been many studies on buckling analysis of FGP under either mechanical or thermal loads; however, only a few studies have addressed the combined effect of both loads acting together. This article focuses on the review of research on buckling analysis of FGP under the combined thermal and mechanical loads.

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Section: Fgp Resting On Elastic Foundationmentioning

confidence: 99%

A Review on Buckling Analysis of Functionally Graded Plates Under Thermo-Mechanical Loads

Hassan

Kurgan

2019

International Journal of Engineering and Applied Sciences

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“…Besides, the effect of the constituent volume distribution was clearly shown. The nonlinear thermomechanical buckling and post buckling response of porous functionally graded plates were studied by Cong et al [44]. Their formulations were based on Reddy's higher-order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory

2019

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Static bending, free vibration and buckling of functionally graded porous micro-plates are investigated using a general third order plate theory. In addition, analytical solutions are obtained using the Navier method. The effect of the material length scale factor and the variation of material property through the thickness direction of plates are considered as well as porosity effects. Three different porosity distributions are considered and the effects of porosity variations are examined in the framework of a general third order plate theory. Numerical results show that the effect of each distribution of porosity is distinguished due to coupling between the heterogeneity of the material properties and the variation of porosity.

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“…Kiran et al [21] studied free vibration of porous FGM magneto-electro-elastic skew plates using the finite element formulation. Cong et al [22] presented an analytical approach to buckling and post-buckling behavior analysis of FGM rectangular plates with porosities under thermal and thermomechanical loads based on the Reddy's higher-order shear deformation theory. Kiran and Kattimani [23] studied free vibration and static behavior of porous FGM magneto-electro-elastic rectangular plates using the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates

Żur

Jankowski

2019

Symmetry

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Free vibration analysis of the porous functionally graded circular plates has been presented on the basis of classical plate theory. The three defined coupled equations of motion of the porous functionally graded circular/annular plate were decoupled to one differential equation of free transverse vibrations of plate. The one universal general solution was obtained as a linear combination of the multiparametric special functions for the functionally graded circular and annular plates with even and uneven porosity distributions. The multiparametric frequency equations of functionally graded porous circular plate with diverse boundary conditions were obtained in the exact closed-form. The influences of the even and uneven distributions of porosity, power-law index, diverse boundary conditions and the neglected effect of the coupling in-plane and transverse displacements on the dimensionless frequencies of the circular plate were comprehensively studied for the first time. The formulated boundary value problem, the exact method of solution and the numerical results for the perfect and imperfect functionally graded circular plates have not yet been reported.

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Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy's HSDT

Cited by 165 publications

References 29 publications

A Review on Buckling Analysis of Functionally Graded Plates Under Thermo-Mechanical Loads

A Review on Buckling Analysis of Functionally Graded Plates Under Thermo-Mechanical Loads

Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory

Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates

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