Thermoelastic stability analysis of functionally graded plates: An analytical approach

Bouazza, Mokhtar; Tounsi, Abdelouahed; Adda-Bedia, E.A.; Megueni, A.

doi:10.1016/j.commatsci.2010.06.038

Cited by 72 publications

(29 citation statements)

References 22 publications

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“…, and compared in Figure 1 with finite element results obtained by Kari et al [60] and analytical approach using first order shear deformation theory obtained by Bouazza et al [12]. It can be seen that for most cases the present results agree well with existing results.…”

Section: Isotropic Platessupporting

confidence: 85%

“…solution of Bouazza et al [12] based on first order shear deformation theory in Table 2. Both results are in excellent agreement.…”

Section: Isotropic Platesmentioning

confidence: 99%

“…The FGM is suitable for various applications, such as thermal coatings of a barrier for ceramic engines, gas turbines, nuclear fusions, thin optical layers, biomaterial electronics, etc. [3][4][5][6][7][8][9][10][11][12][13][14]. Many investigations have been carried out on the subject of mechanical and thermal buckling of structures .…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Isotropic Platessupporting

confidence: 85%

“…solution of Bouazza et al [12] based on first order shear deformation theory in Table 2. Both results are in excellent agreement.…”

Section: Isotropic Platesmentioning

confidence: 99%

See 1 more Smart Citation

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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show abstract

“…From Equation (8), it can be seen that the in-plane loading and bending of the plate have been decoupled.…”

Section: Governing Equation Of Thermal Bucklingmentioning

confidence: 99%

“…Wu [7] and Bouazza et al [8] obtained a closed form solution for 2 of 19 thermal buckling of simply supported FGM thick plates based on the first-order shear deformation theory (FSDT), and compared the results with those of CPT. Shariat and Eslami [9] developed closed form solutions for thermal buckling of imperfect simply supported FGM thick plates based on FSDT.…”

Section: Introductionmentioning

confidence: 99%

Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates

Xing

Wang

2017

Applied Sciences

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This work concerns the critical buckling temperature of functionally graded rectangular thin plates; the properties of functionally graded material vary continuously in accordance with the power law of thickness z. Closed form solutions for the critical thermal parameter are obtained for the plate with the following boundary condition combinations: simply supported, clamped and guided edges, under uniform, linear and nonlinear temperature fields via the separation-of-variable method. Furthermore, a new method is proposed to determine the critical buckling temperature from the critical thermal parameter. The present results coincide well with those in the literature, verifying the correctness of the present method. The influences of the length-thickness ratio, length-width ratio, power law index and initial temperature on critical buckling temperature are investigated.

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Thermomechanical Buckling of FGM Skew Plate

Zghal

Trabelsi

Dammak

2022

Lecture Notes in Mechanical Engineering

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Thermoelastic stability analysis of functionally graded plates: An analytical approach

Cited by 72 publications

References 22 publications

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

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

Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates

Thermomechanical Buckling of FGM Skew Plate

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