Combined Effect of Thickness Stretching and Temperature-Dependent Material Properties on Dynamic Behavior of Imperfect FG Beams Using Three Variable Quasi-3D Model

Mamen, Belgacem; Bouhadra, Abdelhakim; Bourada, Fouad; Bourada, Mohamed; Tounsi, Abdelouahed; Mahmoud, S.R.; Hussain, Muzamal

doi:10.1007/s42417-022-00704-8

Cited by 6 publications

(7 citation statements)

References 56 publications

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“…Significantly, to more accurately describe the behavior of FG plates at elevated temperatures, the material parameters need to be temperature-dependent   , P z T , including Poisson's ratio, Young's modulus, the thermal expansion, and the thermal conductivity are presented as [29][30]:…”

Section: Fg Platesmentioning

confidence: 99%

“…Where i= c, m. T is temperature in Kelvin, and P j (j =−1,1,0,1,2,3) are the temperaturedependent factors, see Table 1, Mamen [30]. Also, the variation of the effective temperaturedependent and independent material properties is illustrated in Figure 2.…”

Section: Fg Platesmentioning

confidence: 99%

“…Eq. (3a) can be solved by using an approximation of polynomial series expansion [33][34][35] and Mamen [30]:…”

Section: Nonlinear Temperature Distributionmentioning

confidence: 99%

“…(31). f(z) represents the shape function defining the distribution of transverse shear deformation, it is written as follows, Mamen [30]:…”

mentioning

confidence: 99%

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Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Mamen,

Bouhadra,

Bourada

et al. 2024

Scientia Iranica

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This paper presents the nonlinear thermodynamic results of functionally graded plates lying on Winkler/Pasternak and Kerr foundation through an analytical formulation. The field displacement is defined by only four unknowns, including an indeterminate integral and a new shape function representing the transverse shear stresses. Material properties of the FG plates are temperature-dependent and graded according to a simple power-law distribution. Also, the thermodynamic equations of motion are deduced based on Hamilton's principle.The exactitude of the present theory results is verified with those obtained by various researchers. The effects of temperature-dependence material properties, power-law index, nonlinear temperature rising, elastic foundation parameters, aspect, and slenderness ratio are discussed. The results show that the increase in elastic foundation parameters would enhance the thermodynamic response of the FG plates. Nevertheless, the degree of improvement would be related to the nonlinear temperature change. Moreover, the plate's configuration effect is more significant when the nonlinear temperature difference is high.

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Section: Fg Platesmentioning

confidence: 99%

Section: Fg Platesmentioning

confidence: 99%

See 2 more Smart Citations

Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Mamen,

Bouhadra,

Bourada

et al. 2024

Scientia Iranica

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“…These analytical investigations have captured the interest of researchers as they contribute to revealing the unique properties of FGBs and provide fundamental insights for future engineering applications. Therefore, using analytical methods, numerous studies have emerged that analyze the effect of porosity on one-directional FGBs' static, free vibration, and buckling behaviors [23][24][25][26][27][28][29][30][31][32][33]. As a continuation of these studies, research has been presented that examines the effect of porosity on the mechanical behaviors of bi-directional FGBs using analytical methods.…”

Section: Introductionmentioning

confidence: 99%

Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

Turan

2024

Arch Appl Mech

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A new analytical solution based on the Ritz method is presented in this paper for analyzing the free vibration and buckling behavior of porous bi-directional functionally graded (2D-FG) beams under various boundary conditions. The solution is based on first-order shear deformation theory (FSDT). The selection of solution functions used in Ritz methods distinguishes the methods from each other and determines the accuracy of the analytical solution. To accurately capture the system's behavior and achieve the desired results, these functions have been carefully selected as a combination of polynomial and trigonometric expressions tailored as mixed series functions for each boundary condition. The study considers three types of porosity, namely PFG-1, PFG-2, and PFG-3. The equations of motion are derived using Lagrange's principle, taking into account the power-law variation of the beam material components throughout the volume. The non-dimensional fundamental frequencies and critical buckling loads are calculated for different boundary conditions, gradation exponents in the x and z directions (px, pz), slenderness (L/h), porosity coefficient (e), and porosity types. Initially, the accuracy of the mixed series functions is investigated for non-porous bi-directional functionally graded beams, and the numerical results are compared with existing literature to validate the proposed solution. Subsequently, the paper focuses on analyzing the influence of porosity on the free vibration and buckling behavior of bi-directional functionally graded beams using the developed solution method.

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Combined effect of temperature dependent material properties and boundary conditions on non-linear thermal stability of porous FG beams

Boutrid,

Rebai,

Mamen

et al. 2024

Acta Mech

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Combined Effect of Thickness Stretching and Temperature-Dependent Material Properties on Dynamic Behavior of Imperfect FG Beams Using Three Variable Quasi-3D Model

Cited by 6 publications

References 56 publications

Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Four-variable Quasi-3D model for nonlinear thermal vibration of FG plates lying on Winkler-Pasternak-Kerr foundation

Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

Combined effect of temperature dependent material properties and boundary conditions on non-linear thermal stability of porous FG beams

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