Buckling analysis of actuated functionally graded piezoelectric plates via a quasi-3D refined theory

Zenkour, Ashraf M.; Aljadani, Maryam H.

doi:10.1016/j.mechmat.2020.103632

Cited by 34 publications

(12 citation statements)

References 31 publications

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“…Energy methods can commonly be taken to derive the governing equations, such as the total potential energy principle [ 53 ] and the principle of virtual displacements [ 54 ]. The total strain energy of the FGM sandwich plate can be written as

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Section: Theoretical Formulationmentioning

confidence: 99%

Buckling Analysis of Functionally Graded Sandwich Plates under Both Mechanical and Thermal Loads

Zhu

Gong

2021

Materials

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This paper presents an analytical solution for the thermomechanical buckling of functionally graded material (FGM) sandwich plates. The solution is obtained using a four-variable equivalent-single-layer (ESL) plate theory. Two types of sandwich plates are included: one with FGM facesheets and homogeneous core, and vice versa for the other. The governing equations are derived based on the principle of minimum total potential energy. For simply supported boundary conditions, these equations are solved via the Navier method. The results on critical buckling load and temperature increment of simply supported FGM sandwich plates are compared with the available solutions in the literature. Several results are presented considering various material and geometrical parameters as well as their effect on the thermomechanical buckling response of FGM sandwich plates. The relationship between the mechanical load and the temperature increment for uniform/linear temperature rise of FGM sandwich plates under combined mechanical and thermal loads is studied.

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…”

Section: Theoretical Formulationmentioning

confidence: 99%

Buckling Analysis of Functionally Graded Sandwich Plates under Both Mechanical and Thermal Loads

Zhu

Gong

2021

Materials

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“…For instance, the utilization of FGMs significantly improved the properties of beam structures [11][12][13][14][15][16], as well as the mechanical and thermal properties of shell structures [17][18][19][20]. In particular, research focused on the buckling behavior of plate structures [21][22][23][24][25][26]. Karamanli et al [27] investigated the bifurcation buckling of square FGM plates under various boundary conditions by subjecting the FGM plates to in-plane loads.…”

Section: Introductionmentioning

confidence: 99%

FEA Investigation of Elastic Buckling for Functionally Graded Material (FGM) Thin Plates with Different Hole Shapes under Uniaxial Loading

et al. 2022

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In this paper, an investigation of linear eigenvalue buckling of functionally graded material (FGM) plates under uniaxial loading is carried out. The computer model is analyzed using the finite element (FE) package ABAQUS. An analysis is carried out to study the effect of the size and geometry of openings in the FGM plate on the critical buckling load. The circular, square, and diamond openings vary in size based on the ratio of the opening diameter to the width of the FGM plate. Moreover, the effect of the aspect ratio (width to thickness) of the FGM plate on the critical buckling load is examined. Further, the effect of the power law index on buckling behavior is investigated. The results show that the increase in the size of the opening and the aspect ratio reduces the critical buckling load of the FGM plate. Moreover, the lower the power law index, the higher the critical buckling load. The diamond shape opening shows the best performance in terms of the critical buckling load, and the effect of the plate thickness has a more significant influence on the critical buckling load of the FGM plate compared to the size of the opening.

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“…Askari et al (2022) developed analytical solutions for wave propagation and free vibration of perfect and porous functionally graded (FG) plate structures integrated with piezoelectric layers based on a four-variable higher-order theory. Zenkour and Aljadani (2020) analyzed the electro-mechanical buckling response for functionally graded piezoelectric plates applied voltage based on a quasi-3D refined plate theory. Zhao et al (2022) employed a plate model using a first-order Mindlin series expansion and obtained the discretization equations by deriving the standard Galerkin weak form.…”

Section: Introductionmentioning

confidence: 99%

The actuation performance of a piezoelectric laminated plate actuator via Galerkin method

Mao

Zhou

Xue

2022

MMMS

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PurposePiezoelectric materials are widely used as actuators, due to the advantages of quick response, high sensitivity and linear strain-electric field relationship. The previous work on the piezoelectric material plate structures is not enough; however, such structures play a very important role in the practical design. In this paper, the actuation performance of piezoelectric laminated plate actuator (PLPA) is analyzed based on Galerkin method to parametric study the shape control.Design/methodology/approachIn this paper, the actuation performance of PLPA is analyzed based on Galerkin method to parametric study the shape control. The stress components of the matrix plate are formulated based on electro-mechanical coupling theory and Kirchhoff's classical laminated plate theory. The effectiveness of the developed method is validated by the comparison with finite element method.FindingsThe actuation performance of PLPA and its influencing factors are numerically analyzed through the developed method. The deflection of PLPA is reasonably increased by optimizing the electric fields, the piezoelectric patch and the matrix plate.Originality/valueThe Galerkin method can be used for engineering applications more easily, and it does not require to rebuild the calculation model as finite element method during the calculation and analysis of PLPA. This paper is a valuable reference for the design and analysis of PLPAs.

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Buckling analysis of actuated functionally graded piezoelectric plates via a quasi-3D refined theory

Cited by 34 publications

References 31 publications

Buckling Analysis of Functionally Graded Sandwich Plates under Both Mechanical and Thermal Loads

Buckling Analysis of Functionally Graded Sandwich Plates under Both Mechanical and Thermal Loads

FEA Investigation of Elastic Buckling for Functionally Graded Material (FGM) Thin Plates with Different Hole Shapes under Uniaxial Loading

The actuation performance of a piezoelectric laminated plate actuator via Galerkin method

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