HALIM BENRAHOU - Academia.edu (original) (raw)

Papers by HALIM BENRAHOU

Research paper thumbnail of Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations

Computers and Concrete, Apr 1, 2020

Research paper thumbnail of A new first shear deformation plate theory for dynamic stability analysis of S-FGM plates based on physical neutral surface

a. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 ci... more a. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. bellifahichem@hotmail.fr b. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. touabdel@yahoo.fr c. Laboratoire de modélisation numérique et expérimentale des phénomènes mécaniques Université Abdelhamid IBN BADIS de Mostaganem. Algérie. jalil7benbakhti@hotmail.fr d. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. aekfekrar@yahoo.fr e. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. khbenrahou@yahoo.fr

Research paper thumbnail of Buckling analysis of functionally graded plates subjected to uniaxial loading

Composite Structures, 1997

Elastic bifurcational buckling of functionally graded plates under in-plane compressive loading i... more Elastic bifurcational buckling of functionally graded plates under in-plane compressive loading is studied. It is supposed that the gradients of material properties throughout the structure are produced by a spatial distribution of the local reinforcement volume fraction vf = vf(x, y, z). To analyze the problem, a method based on a combination of micromechanical and structural approaches is employed. This

Research paper thumbnail of Contribution à l’étude dynamique des structures en FGM dans un environnement thermique par l’utilisation d’une théorie à ordre élevé

Research paper thumbnail of Behavior in Stress and Deformation Sands for Asphalt Mixes

International journal of engineering research and technology, 2013

For asphalt mixes, the visco-elastic model proposed initially by Huet and Sayegh predicts very ac... more For asphalt mixes, the visco-elastic model proposed initially by Huet and Sayegh predicts very accurately laboratory complex modulus test results. It gives by semi-analytical calculations relatively good stress and strain fields for heavy traffic pavements specially for base course made with classical materials. On the contrary, for flexible pavement with low traffic, for high temperature gradients and for the analysis of damages under slow heavy loads, it is necessary to take into account the visco-elastic behaviour of asphalt materials. In this paper, a model for a semi-infinite multilayer structure taking into account the viscoelastic constitutive relation is presented. The main interest of this method compared to the two others is the very short computational time for a multilayer structure. The importance of developing an analysis of the flexural behavior of beams is related firstly to the use of beams as a basic element in the realization of structures, and also to characteriz...

Research paper thumbnail of Approche entre le modèle d'Ostwald et le modèle de Williamson pour une solution de POLYOX WSR 301 à différentes températures

Research paper thumbnail of Simple quasi-3D and 2D integral shear deformation theories for buckling investigation of advanced composite plates

Fizicheskaya Mezomekhanika

Research paper thumbnail of Hygro-thermo-mechanical bending of laminated composite plates using an innovative computational four variable refined quasi-3D HSDT model

Steel and Composite Structures, 2021

Research paper thumbnail of Natural frequencies of FGM nanoplates embedded in an elastic medium

The small scale impact on the vibrational properties of "functionally graded" (... more The small scale impact on the vibrational properties of "functionally graded" (FG) nanoplate embedded in an elastic medium is examined. The formulation is based on the four-unknown refined integral plate theory on aggregate with the nonlocal elasticity theory. Contrary to other theories, this one involves only four unknown variables. The solution procedure is obtained by employing the motion differential equations of physical phase that are converted into set of "linear algebraic equations". After, these are solved by a computer code. The influences of aspect ratio, material index, nonlocal parameter and elastic medium stiffness on the different modal vibrations of FG nanoplate are explored. The results demonstrate the significant impact of different physical and geometrical parameters on the vibration behavior of FG nanoplate.

Research paper thumbnail of Surface Effects and Small-Scale Impacts on the Bending and Buckling of Nanowires Using Various Nonlocal HSDTs

Physical Mesomechanics, 2022

This paper presents the bending and buckling analyses of simply supported nanowires using various... more This paper presents the bending and buckling analyses of simply supported nanowires using various classical and nonclassical higher-order shear deformation theories (HSDTs). A one-dimensional structure is modeled with including the surface effects based on the Gurtin–Murdoch surface elasticity theory (nonclassical beam theory) and the small-scale effect based on the Eringen nonlocal theory (nonlocal beam theory); the transverse displacement is divided into two bending and shear components. A system of governing equations is derived with the help of the minimum total potential energy principle and resolved via Navier’s solutions. Several numerical results are presented and compared with those given in the literature. The results showed that the influence of the surface effects on the bending and buckling load of nanowires is more pronounced than that of the nonlocal parameter.

Research paper thumbnail of The nano scale buckling properties of isolated protein microtubules based on modified strain gradient theory and a new single variable trigonometric beam theory

Microtubules (MTs) are the main part of the cytoskeleton in living eukaryotic cells. In this arti... more Microtubules (MTs) are the main part of the cytoskeleton in living eukaryotic cells. In this article, a mechanical model of MT buckling, considering the modified strain gradient theory, is analytically examined. The MT is assumed as a cylindrical beam and a new single variable trigonometric beam theory is developed in conjunction with a modified strain gradient model. The main benefit of the present formulation is shown in its new kinematic where we found only one unknown as the Euler-Bernoulli beam model, which is even less than the Timoshenko beam model. The governing equations are deduced by considering virtual work principle. The effectiveness of the present method is checked by comparing the obtained results with those reported by other higher shear deformation beam theory involving a higher number of unknowns. It is shown that microstructure-dependent response is more important when material length scale parameters are closer to the outer diameter of MTs. Also, it can be confi...

Research paper thumbnail of Bending analysis of functionally graded porous platesvia a refined shear deformation theory

Computers and Concrete, 2020

In this investigation, study of the bending response of functionally graded (FG) porous plates is... more In this investigation, study of the bending response of functionally graded (FG) porous plates is presented using a cubic shear deformation theory. The properties of the FG-plate vary according to a power-law distribution which is modified to approximate material characteristics for considering the effect of porosities. The equilibrium equations are derived by using the principle of virtual work and solved by using Navier\'s procedure. Various numerical results are discussed to demonstrate the influence of the variation of the power index, the porosity parameter and the geometric ratios on the bending response of FG porous plates.

Research paper thumbnail of A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams

Structural Engineering and Mechanics, 2017

In this work, a nonlocal zeroth-order shear deformation theory is developed for the nonlinear pos... more In this work, a nonlocal zeroth-order shear deformation theory is developed for the nonlinear postbuckling behavior of nanoscale beams. The beauty of this formulation is that, in addition to including the nonlocal effect according to the nonlocal elasticity theory of Eringen, the shear deformation effect is considered in the axial displacement within the use of shear forces instead of rotational displacement like in existing shear deformation theories. The principle of virtual work together of the nonlocal differential constitutive relations of Eringen, are considered to obtain the equations of equilibrium. Closed-form solutions for the critical buckling load and the amplitude of the static nonlinear response in the postbuckling state for simply supported and clamped clamped nanoscale beams are determined.

Research paper thumbnail of Thermal Postbuckling of First Order Shear Deformable Functionally Graded Plates

World Academy of Science, Engineering and Technology, International Journal of Civil and Environmental Engineering, 2016

Research paper thumbnail of Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam

Structural Engineering and Mechanics, 2021

This work focused on the novel numerical tool for the bending responses of carbon nanotube reinfo... more This work focused on the novel numerical tool for the bending responses of carbon nanotube reinforced composites (CNTRC) beams. The higher order shear deformation beam theory (HSDT) is used to determine strain-displacement relationships. A new exponential function was introduced into the carbon nanotube (CNT) volume fraction equation to show the effect of the CNT distribution on the CNTRC beams through displacements and stresses. To determine the mechanical properties of CNTRCs, the rule of the mixture was employed by assuming that the single-walled carbon nanotubes (SWCNTs)are aligned and distributed in the matrix. The governing equations were derived by Hamilton's principle, and the mathematical models presented in this work are numerically provided to verify the accuracy of the present theory. The effects of aspect ratio (l/d), CNT volume fraction (Vcnt), and the order of exponent (n) on the displacement and stresses are presented and discussed in detail. Based on the analyti...

Research paper thumbnail of Contribution de l'effet TAPER au renforcement de poutres par collage des plaques en composite FRP

Research paper thumbnail of Influence of porosity on thermal buckling behavior of functionally graded beams

Smart Structures and Systems, 2021

The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stab... more The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stability response of power law functionally graded beam with various boundary conditions. The modelling was done according to the Euler-Bernoulli beam model where the distribution of material properties is imitated polynomial function. The thermal loads are assumed to be not only uniform but linear as well non-linear and the temperature rises through the thickness direction. The effects of the porosity parameter, slenderness ratio and power law index on the thermal buckling of P-FG beam are discussed.

Research paper thumbnail of Influence of Adhesive Characteristics on the Interfacial Stress Concentrations in Externally FRP Plated Steel Beams

Composite Interfaces, 2010

This paper deals with the influence of adhesive properties on the interlaminar stress in external... more This paper deals with the influence of adhesive properties on the interlaminar stress in externally FRP plated steel beams. The analysis provides efficient calculations for both shear and normal interfacial stresses in steel beams strengthened with composite plates, and accounts for various effects of Poisson's ratio and Young's modulus of adhesive. Such interfacial stresses play a fundamental role in the mechanics of plated beams, because they can produce a sudden and premature failure. The analysis is based on equilibrium and deformations compatibility approach developed by Tounsi [1]. In the present theoretical analysis, the adherend shear deformations are taken into account by assuming a parabolic shear stress through the thickness of both the steel beam and bonded plate. The paper concludes with a summary and recommendations for the design of the strengthened beam.

Research paper thumbnail of Effect of material composition on bending and dynamic properties of FG plates using quasi 3D HSDT

Structural Engineering and Mechanics, 2021

In this work, quasi three-dimensional (quasi-3D) shear deformation theory is presented for bendin... more In this work, quasi three-dimensional (quasi-3D) shear deformation theory is presented for bending and dynamic analysis of functionally graded (FG) plates. The effect of varying material properties and volume fraction of the constituent on dynamic and bending behavior of the FG plate is discussed. The benefit of this model over other contributions is that a number of variables is diminished. The developed model considers nonlinear displacements through the thickness and ensures the free boundary conditions at top and bottom faces of the plate without using any shear correction factors. The basic equations that account for the effects of transverse and normal shear stresses are derived from Hamilton’s principle. The analytical solutions are determined via the Navier procedure. The accuracy of the proposed formulation is proved by comparisons with the different 2D, 3D and quasi-3D solutions found in the literature.

Research paper thumbnail of Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation

Steel and Composite Structures, 2016

In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheet... more In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheets under uniform temperature rise loading is examined based on both sinusoidal shear deformation theory and stress function. It is supposed that the sandwich plate is in contact with an elastic foundation during deformation, which acts in both compression and tension. Thermo-elastic non-homogeneous properties of FG layers change smoothly by the variation of power law within the thickness, and temperature dependency of material constituents is considered in the formulation. In the present development, Von Karman nonlinearity and initial geometrical imperfection of sandwich plate are also taken into account. By employing Galerkin method, analytical solutions of thermal buckling and postbuckling equilibrium paths for simply supported plates are determined. Numerical examples presented in the present study discuss the effects of gradient index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation parameters.

Research paper thumbnail of Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations

Computers and Concrete, Apr 1, 2020

Research paper thumbnail of A new first shear deformation plate theory for dynamic stability analysis of S-FGM plates based on physical neutral surface

a. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 ci... more a. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. bellifahichem@hotmail.fr b. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. touabdel@yahoo.fr c. Laboratoire de modélisation numérique et expérimentale des phénomènes mécaniques Université Abdelhamid IBN BADIS de Mostaganem. Algérie. jalil7benbakhti@hotmail.fr d. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. aekfekrar@yahoo.fr e. Laboratoire des Matériaux et Hydrologie, Université Djilali Liabes de Sidi Bel-Abbes. BP 89 cite Ben M'hidi 22000 Sidi Bel-Abbes, Algérie Algérie. khbenrahou@yahoo.fr

Research paper thumbnail of Buckling analysis of functionally graded plates subjected to uniaxial loading

Composite Structures, 1997

Elastic bifurcational buckling of functionally graded plates under in-plane compressive loading i... more Elastic bifurcational buckling of functionally graded plates under in-plane compressive loading is studied. It is supposed that the gradients of material properties throughout the structure are produced by a spatial distribution of the local reinforcement volume fraction vf = vf(x, y, z). To analyze the problem, a method based on a combination of micromechanical and structural approaches is employed. This

Research paper thumbnail of Contribution à l’étude dynamique des structures en FGM dans un environnement thermique par l’utilisation d’une théorie à ordre élevé

Research paper thumbnail of Behavior in Stress and Deformation Sands for Asphalt Mixes

International journal of engineering research and technology, 2013

For asphalt mixes, the visco-elastic model proposed initially by Huet and Sayegh predicts very ac... more For asphalt mixes, the visco-elastic model proposed initially by Huet and Sayegh predicts very accurately laboratory complex modulus test results. It gives by semi-analytical calculations relatively good stress and strain fields for heavy traffic pavements specially for base course made with classical materials. On the contrary, for flexible pavement with low traffic, for high temperature gradients and for the analysis of damages under slow heavy loads, it is necessary to take into account the visco-elastic behaviour of asphalt materials. In this paper, a model for a semi-infinite multilayer structure taking into account the viscoelastic constitutive relation is presented. The main interest of this method compared to the two others is the very short computational time for a multilayer structure. The importance of developing an analysis of the flexural behavior of beams is related firstly to the use of beams as a basic element in the realization of structures, and also to characteriz...

Research paper thumbnail of Approche entre le modèle d'Ostwald et le modèle de Williamson pour une solution de POLYOX WSR 301 à différentes températures

Research paper thumbnail of Simple quasi-3D and 2D integral shear deformation theories for buckling investigation of advanced composite plates

Fizicheskaya Mezomekhanika

Research paper thumbnail of Hygro-thermo-mechanical bending of laminated composite plates using an innovative computational four variable refined quasi-3D HSDT model

Steel and Composite Structures, 2021

Research paper thumbnail of Natural frequencies of FGM nanoplates embedded in an elastic medium

The small scale impact on the vibrational properties of "functionally graded" (... more The small scale impact on the vibrational properties of "functionally graded" (FG) nanoplate embedded in an elastic medium is examined. The formulation is based on the four-unknown refined integral plate theory on aggregate with the nonlocal elasticity theory. Contrary to other theories, this one involves only four unknown variables. The solution procedure is obtained by employing the motion differential equations of physical phase that are converted into set of "linear algebraic equations". After, these are solved by a computer code. The influences of aspect ratio, material index, nonlocal parameter and elastic medium stiffness on the different modal vibrations of FG nanoplate are explored. The results demonstrate the significant impact of different physical and geometrical parameters on the vibration behavior of FG nanoplate.

Research paper thumbnail of Surface Effects and Small-Scale Impacts on the Bending and Buckling of Nanowires Using Various Nonlocal HSDTs

Physical Mesomechanics, 2022

This paper presents the bending and buckling analyses of simply supported nanowires using various... more This paper presents the bending and buckling analyses of simply supported nanowires using various classical and nonclassical higher-order shear deformation theories (HSDTs). A one-dimensional structure is modeled with including the surface effects based on the Gurtin–Murdoch surface elasticity theory (nonclassical beam theory) and the small-scale effect based on the Eringen nonlocal theory (nonlocal beam theory); the transverse displacement is divided into two bending and shear components. A system of governing equations is derived with the help of the minimum total potential energy principle and resolved via Navier’s solutions. Several numerical results are presented and compared with those given in the literature. The results showed that the influence of the surface effects on the bending and buckling load of nanowires is more pronounced than that of the nonlocal parameter.

Research paper thumbnail of The nano scale buckling properties of isolated protein microtubules based on modified strain gradient theory and a new single variable trigonometric beam theory

Microtubules (MTs) are the main part of the cytoskeleton in living eukaryotic cells. In this arti... more Microtubules (MTs) are the main part of the cytoskeleton in living eukaryotic cells. In this article, a mechanical model of MT buckling, considering the modified strain gradient theory, is analytically examined. The MT is assumed as a cylindrical beam and a new single variable trigonometric beam theory is developed in conjunction with a modified strain gradient model. The main benefit of the present formulation is shown in its new kinematic where we found only one unknown as the Euler-Bernoulli beam model, which is even less than the Timoshenko beam model. The governing equations are deduced by considering virtual work principle. The effectiveness of the present method is checked by comparing the obtained results with those reported by other higher shear deformation beam theory involving a higher number of unknowns. It is shown that microstructure-dependent response is more important when material length scale parameters are closer to the outer diameter of MTs. Also, it can be confi...

Research paper thumbnail of Bending analysis of functionally graded porous platesvia a refined shear deformation theory

Computers and Concrete, 2020

In this investigation, study of the bending response of functionally graded (FG) porous plates is... more In this investigation, study of the bending response of functionally graded (FG) porous plates is presented using a cubic shear deformation theory. The properties of the FG-plate vary according to a power-law distribution which is modified to approximate material characteristics for considering the effect of porosities. The equilibrium equations are derived by using the principle of virtual work and solved by using Navier\'s procedure. Various numerical results are discussed to demonstrate the influence of the variation of the power index, the porosity parameter and the geometric ratios on the bending response of FG porous plates.

Research paper thumbnail of A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams

Structural Engineering and Mechanics, 2017

In this work, a nonlocal zeroth-order shear deformation theory is developed for the nonlinear pos... more In this work, a nonlocal zeroth-order shear deformation theory is developed for the nonlinear postbuckling behavior of nanoscale beams. The beauty of this formulation is that, in addition to including the nonlocal effect according to the nonlocal elasticity theory of Eringen, the shear deformation effect is considered in the axial displacement within the use of shear forces instead of rotational displacement like in existing shear deformation theories. The principle of virtual work together of the nonlocal differential constitutive relations of Eringen, are considered to obtain the equations of equilibrium. Closed-form solutions for the critical buckling load and the amplitude of the static nonlinear response in the postbuckling state for simply supported and clamped clamped nanoscale beams are determined.

Research paper thumbnail of Thermal Postbuckling of First Order Shear Deformable Functionally Graded Plates

World Academy of Science, Engineering and Technology, International Journal of Civil and Environmental Engineering, 2016

Research paper thumbnail of Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam

Structural Engineering and Mechanics, 2021

This work focused on the novel numerical tool for the bending responses of carbon nanotube reinfo... more This work focused on the novel numerical tool for the bending responses of carbon nanotube reinforced composites (CNTRC) beams. The higher order shear deformation beam theory (HSDT) is used to determine strain-displacement relationships. A new exponential function was introduced into the carbon nanotube (CNT) volume fraction equation to show the effect of the CNT distribution on the CNTRC beams through displacements and stresses. To determine the mechanical properties of CNTRCs, the rule of the mixture was employed by assuming that the single-walled carbon nanotubes (SWCNTs)are aligned and distributed in the matrix. The governing equations were derived by Hamilton's principle, and the mathematical models presented in this work are numerically provided to verify the accuracy of the present theory. The effects of aspect ratio (l/d), CNT volume fraction (Vcnt), and the order of exponent (n) on the displacement and stresses are presented and discussed in detail. Based on the analyti...

Research paper thumbnail of Contribution de l'effet TAPER au renforcement de poutres par collage des plaques en composite FRP

Research paper thumbnail of Influence of porosity on thermal buckling behavior of functionally graded beams

Smart Structures and Systems, 2021

The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stab... more The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stability response of power law functionally graded beam with various boundary conditions. The modelling was done according to the Euler-Bernoulli beam model where the distribution of material properties is imitated polynomial function. The thermal loads are assumed to be not only uniform but linear as well non-linear and the temperature rises through the thickness direction. The effects of the porosity parameter, slenderness ratio and power law index on the thermal buckling of P-FG beam are discussed.

Research paper thumbnail of Influence of Adhesive Characteristics on the Interfacial Stress Concentrations in Externally FRP Plated Steel Beams

Composite Interfaces, 2010

This paper deals with the influence of adhesive properties on the interlaminar stress in external... more This paper deals with the influence of adhesive properties on the interlaminar stress in externally FRP plated steel beams. The analysis provides efficient calculations for both shear and normal interfacial stresses in steel beams strengthened with composite plates, and accounts for various effects of Poisson's ratio and Young's modulus of adhesive. Such interfacial stresses play a fundamental role in the mechanics of plated beams, because they can produce a sudden and premature failure. The analysis is based on equilibrium and deformations compatibility approach developed by Tounsi [1]. In the present theoretical analysis, the adherend shear deformations are taken into account by assuming a parabolic shear stress through the thickness of both the steel beam and bonded plate. The paper concludes with a summary and recommendations for the design of the strengthened beam.

Research paper thumbnail of Effect of material composition on bending and dynamic properties of FG plates using quasi 3D HSDT

Structural Engineering and Mechanics, 2021

In this work, quasi three-dimensional (quasi-3D) shear deformation theory is presented for bendin... more In this work, quasi three-dimensional (quasi-3D) shear deformation theory is presented for bending and dynamic analysis of functionally graded (FG) plates. The effect of varying material properties and volume fraction of the constituent on dynamic and bending behavior of the FG plate is discussed. The benefit of this model over other contributions is that a number of variables is diminished. The developed model considers nonlinear displacements through the thickness and ensures the free boundary conditions at top and bottom faces of the plate without using any shear correction factors. The basic equations that account for the effects of transverse and normal shear stresses are derived from Hamilton’s principle. The analytical solutions are determined via the Navier procedure. The accuracy of the proposed formulation is proved by comparisons with the different 2D, 3D and quasi-3D solutions found in the literature.

Research paper thumbnail of Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation

Steel and Composite Structures, 2016

In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheet... more In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheets under uniform temperature rise loading is examined based on both sinusoidal shear deformation theory and stress function. It is supposed that the sandwich plate is in contact with an elastic foundation during deformation, which acts in both compression and tension. Thermo-elastic non-homogeneous properties of FG layers change smoothly by the variation of power law within the thickness, and temperature dependency of material constituents is considered in the formulation. In the present development, Von Karman nonlinearity and initial geometrical imperfection of sandwich plate are also taken into account. By employing Galerkin method, analytical solutions of thermal buckling and postbuckling equilibrium paths for simply supported plates are determined. Numerical examples presented in the present study discuss the effects of gradient index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation parameters.