Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations

Duc, Nguyen Dinh; Tung, Hoang Van

doi:10.1016/j.compstruct.2011.05.017

Cited by 94 publications

(47 citation statements)

References 20 publications

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“…Figure 3 together with the available results of Duc and Tung [13]. The material and geometrical parameters are taken to be the same as in the reference [13]. It is observed that the present results are exhibiting higher critical buckling temperature values as compared to Duc and Tung [13].…”

Section: Resultsmentioning

confidence: 82%

“…The material and geometrical parameters are taken to be the same as in the reference [13]. It is observed that the present results are exhibiting higher critical buckling temperature values as compared to Duc and Tung [13]. It is because, the present model accounts the full geometrical nonlinearity in Green-Lagrange sense whereas, in the reference, the nonlinearity is introduced via von-Karman strain which is unrealistic to consider the exact geometrical distortion under the severe thermal load.…”

Section: Resultsmentioning

confidence: 86%

“…The different support conditions employed for the present analysis can be seen in [16]. Figure 3 together with the available results of Duc and Tung [13]. The material and geometrical parameters are taken to be the same as in the reference [13].…”

Section: Resultsmentioning

confidence: 99%

“…It is evident from the review of literature that, the FEM based numerical studies related to the geometrically nonlinear buckling and the post-buckling behavior of FG spherical panels is very limited [6][7]. Also, studies using the CPT [8][9] /FOSDT [10][11][12] mid-plane kinematics are more in number in comparison to the HOSDT [13][14][15]. Researchers considered the through the thickness temperature variation to be uniform, linear and nonlinear and incorporated TD and TID material properties of the FG structures.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear Finite Element Solution of Post-buckling Responses of FGM Panel Structure under Elevated Thermal Load and TD and TID Properties

2017

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Abstract. The nonlinear finite element solutions for the buckling and post-buckling responses of the functionally graded shell panel subjected to the non-uniform thermal environment have been presented in this article. The thermal fields are assumed as uniform, linear and nonlinear temperature rise across the thickness of shell panel and the properties of each constituent are considered to be temperature dependent. The effective material properties of the graded structure are evaluated using the Voigt's micromechanical rule in conjunction with power-law distribution. For the analysis purpose, a general nonlinear mathematical model of the functionally graded shell panel has been developed based on the higher order shear deformation theory and Green-Lagrange type geometrical nonlinear strains. The system governing equation of the panel structure is derived using the variational principle. Further, suitable nonlinear finite element steps have been adopted to discretize the model for the computation of the desired responses in association with the direct iterative method. The convergence and the validation behavior of the present numerical model are initially tested to demonstrate its efficacy and significance. Finally, the effects of curvature, power law index and different support conditions on the buckling and post-buckling responses of the functionally graded shell panels are investigated and discussed in details.

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Section: Resultsmentioning

confidence: 82%

Section: Resultsmentioning

confidence: 86%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear Finite Element Solution of Post-buckling Responses of FGM Panel Structure under Elevated Thermal Load and TD and TID Properties

2017

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“…Developments of new materials such as functionally graded materials (FGMs), however, have necessitated more research in this area. It is observed from the literature that studies involving stability (in terms of buckling) characteristics of FGM plates subjected to thermal [3-25, 46, 47, 52], mechanical loading [26][27][28][29][30][31][32][33][34][35], or combinations of [20,[36][37][38][39][40][41][42] based on deterministic analysis have received greater attention [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Thermal stability analysis of functionally graded plates using simple refined plate theory

Bouazza¹,

Boucheta²,

Becheri³

et al. 2017

Int. J. Automot. Mech. Eng.

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The present paper investigates the thermal stability analysis of functionally graded material plates subjected to three types of thermal loadings, namely; uniform temperature rise, linear temperature rise and non-linear temperature rise through the thickness, using a novel simple refined theory. The theory, which has strong similarity with classical plate theory in many aspects, accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Material properties are varied continuously in the thickness direction according to a simple power law distribution. A buckling analysis of a functionally graded plate under there types of thermal loads is carried out and results in closed-form solutions thermal stability analysis of functionally graded plates using simple refined plate theory. The influence of various factors such as gradient index, temperature loads, thickness and aspect ratios are carefully studied. The results are verified with the known data in the literature. This theory is seen to behave well, and the results of the sample problem show good agreement with the literature values as seen from the validation checks.

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Buckling of shear deformable FG‐CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments

Hiếu

Tung

2020

Z Angew Math Mech

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An analytical study on buckling of carbon nanotube reinforced composite (CNTRC) circular cylindrical shells and toroidal shell segments surrounded by elastic media, exposed to thermal environments and subjected to axial compression and combined mechanical loads is presented in this paper. Carbon nanotubes (CNTs) are reinforced into isotropic matrix through uniform and functionally graded distributions. Material properties of constituents are assumed to be temperature dependent and effective elastic moduli of CNTRC are estimated by an extended rule of mixture. Formulations are based on first order shear deformation theory taking into account interaction between the shell and surrounding medium. Two‐term solution of deflection is assumed to satisfy simply supported boundary conditions and Galerkin method is used to obtain closed‐form expressions of buckling loads. Numerical illustrations are given to analyze the effects of CNT volume fraction and distribution patterns, preexisting loads, surrounding elastic media and geometrical parameters on the stability of CNTRC shells. The proposed approach is simple and effective to evaluate buckling loads of moderately thick closed nanocomposite shells under different types of mechanical loads.

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Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations

Cited by 94 publications

References 20 publications

Nonlinear Finite Element Solution of Post-buckling Responses of FGM Panel Structure under Elevated Thermal Load and TD and TID Properties

Nonlinear Finite Element Solution of Post-buckling Responses of FGM Panel Structure under Elevated Thermal Load and TD and TID Properties

Thermal stability analysis of functionally graded plates using simple refined plate theory

Buckling of shear deformable FG‐CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments

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