Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory

Daikh, Ahmed Amine; Zenkour, Ashraf M.

doi:10.1088/2053-1591/ab48a9

Cited by 74 publications

(21 citation statements)

References 52 publications

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“…The general material properties can't be given straightforwardly, yet they can be gotten as far as their parameters of components and the volume fractions in a specific control manner [22,23]. There are some methods can be used to analyze the mechanical behaviors of composites, such as DQ (Differential quadrature) in [24], DSC (Discrete singular convolution) in [25], FEM (Finite element method) in [26,27] and higher-order shear deformation theory in [28]. Different from the methods above, the micromechanical method is used in this work to obtain the equivalent material parameters of composites.…”

Section: ( )mentioning

confidence: 99%

Revisiting the electroelastic solution for an FGPM thick-walled cylinder subjected to mechanical and electric loadings

Wang

Dui

Xin

2020

Mater. Res. Express

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Theoretical analysis for an empty thick-walled FGPM cylinder exposed to electric and mechanical loadings are investigated. The cylinder is a composite material composed of PZT4 and PVDF and the volume fraction of PZT4 is given by the power law with three controllable parameters which can cover more complex circumstances. The hypergeometric equation of the radial displacement is acquired by utilizing the Voigt method, and the solutions of the stresses and the electric potential are obtained after solving the radial displacement. The method in this paper is appropriate for real functionally graded piezoelectric materials and can avoid assumptions about unknown overall material parameters appeared in previous references. Finally, the impacts of the parameter n in volume fraction of FGPM cylinder on mechanical and electric behaviors are examined. Furthermore, the distinction between the hoop stress and radial stress is discussed to decrease the pressure concentration in FGPM cylinder. Nomenclature a, b inner and outer radii r radial coordinate c(r) volume fraction of material A c 0 , k, n material parameters in the volume fraction c(r) p a , p b internal and external pressures j a , j b internal and external electric potentials C ijkl i (i=1, 2) elastic modulus of the component e mij i (i=1, 2) piezoelectric tensor modulus of the component k mk i (i=1, 2) dielectric modulus of the component u radial displacement j electric potential e , r i ( ) e q i ( ) radial and hoop strains of the component e , r e q average radial and hoop strains of the cylinder s , r i ( ) s q , i ( ) s z i ( ) radial, hoop, and axial stresses of the component s , r s q , s z average radial, hoop, and axial stresses of the cylinder E , r i ( ) D r i ( ) radial electric field and electric displacement of the component E , r D r average radial electric field and electric displacement of the cylinder a(r), b(r), d(r), g(r), f (r), h(r), k(r) functions related to the volume fraction c(r)

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Section: ( )mentioning

confidence: 99%

Revisiting the electroelastic solution for an FGPM thick-walled cylinder subjected to mechanical and electric loadings

Wang

Dui

Xin

2020

Mater. Res. Express

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“…Zenkour 28 examined the bending behavior of the functionally graded plates. Daikh and Zenkour 29 examined the dynamic and buckling analysis of porous sandwich plates according to a HSDT. Hadi et al 30 investigated the natural frequency examination of the 3D-FG Euler-Bernoulli nanobeams considering the nonlocality.…”

Section: Introductionmentioning

confidence: 99%

A novel nonlocal higher-order theory for the accurate vibration analysis of 2D FG nanoplates

Xie

Jin

Zhen

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, vibration analysis of the 2 D-FG nanoplate is studied based on a novel higher-order shear deformation theory (HSDT). The proposed HSDT is a composition of trigonometric, exponential and polynomial functions which is one of the most accurate HSDTs. The mechanical properties of the nanoplate change along with the length and thickness directions, according to arbitrary functions. To model the displacement field, the impacts of both transverse shear and thickness stretching are considered. To consider the small-scale impact, nonlocal elasticity theory is applied. To obtain the equations of motion, Hamilton’s principle is applied. Navier method is used for a closed-form solution of the 2 D-FG nanoplates with simply-supported boundary conditions. The impact of different parameters including the small-scale parameter are studied on the natural frequency of the system. The results illustrate that when size effect parameter is smaller/greater than 0.5 nm, the impacts of the FG parameters on the frequency of the system increase/reduce.

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“…Many existing literature deals with the buckling behavior of laminated panels that are exposed to uniform edge loads. [3][4][5][6][7][8][9][10] The investigation by considering localized and non-uniform edge loads is very much limited in the literature and are restricted to composite laminated. Nowadays, FRP laminates are replaced by fiber metal laminates due to its superior mechanical properties and hence is the recent topic of interest for researchers.…”

Section: Introductionmentioning

confidence: 99%

“…The vibration behavior of CLARE and GLARE metal laminates on the Pasternak and Winkler elastic foundation was studied using Mindlin plate theory by Wei et al 18 The dynamic behavior of initially stressed GLARE and CLARE metal laminate was studied by few authors using shear deformation theories. 19,20 Zenkour et al 7,[21][22][23][24] extensively studied the effect of buckling and vibration responses of both laminated plates and functionally graded materials using various theories that include refined hyperbolic theory and trigonometric solutions etc. Using the above theories, the authors further investigated the post buckling response of the composite laminates.…”

Section: Introductionmentioning

confidence: 99%

Effects of different interlaminar hybridization and cutout sizes on the vibration and buckling characteristics of fiber metal composite laminates under partial edge loads

Muddappa

Rajanna

Giridhara

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Fiber reinforced polymer composites are quickly gaining market share in structural applications, but further growth is limited by their lack of toughness. Fiber hybridization is a promising strategy to toughen composite materials. By combining two or more fiber types, these hybrid composites offer a better balance in mechanical properties than non-hybrid composites. This study presents the effect of different interlaminar hybridization and cutout sizes on the vibration and buckling characteristics of hybrid fiber metal laminates (HFMLs) subjected to partial edge loads by developing finite element formulation. Since the stress distribution within the plate element is highly non-uniform in nature, the dynamic approach has been used to solve the buckling problems wherein two sets of boundary conditions are used, one for pre-buckling stresses and other one for buckling load calculations. A 9-noded heterosis plate element has been used to discretize the plate by taking into account the effect of shear deformation and rotary inertia. The present study consists of aluminum metal face sheets bound with four layered symmetric hybrid cross-ply laminate schemes. In this scheme, six different hybrid combinations have been considered. The performance of each hybrid combination is investigated under various loading combinations. Further, the effect of different parameters such as boundary condition, cutout ratio, width and position of localized edge loads, plate aspect ratio, and hybrid configurations are included in this work. It is revealed from the study that the hybrid configurations under different cutouts significantly affect the vibration and buckling characteristics under different localized edge loads.

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Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory

Cited by 74 publications

References 52 publications

Revisiting the electroelastic solution for an FGPM thick-walled cylinder subjected to mechanical and electric loadings

Revisiting the electroelastic solution for an FGPM thick-walled cylinder subjected to mechanical and electric loadings

A novel nonlocal higher-order theory for the accurate vibration analysis of 2D FG nanoplates

Effects of different interlaminar hybridization and cutout sizes on the vibration and buckling characteristics of fiber metal composite laminates under partial edge loads

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