A nonlocal strain gradient isogeometric model for free vibration analysis of magneto-electro-elastic functionally graded nanoplates

Thai, Chien H.; Fereira, A.M.J; Nguyen‐Xuan, H.; Hung, P.T.; Phung‐Van, P.

doi:10.1016/j.compstruct.2023.117005

Cited by 30 publications

(3 citation statements)

References 78 publications

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“…´for V and 0.2, 0.5 0.8 f = [36,37] respectively. The magnetoelectric coupling effect have extensively studied by the researchers which can be found in the recently published articles [38][39][40][41][42][43]. A water-glycerol mixture is used as a viscoelastic fluid, and the numerical analysis takes into account a glycerol-to-water concentration of 52.2%.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Shear horizontal wave dispersion in two phase magneto-electro-elastic material loaded with viscoelastic fluid layer

Singh,

Prasad

2024

Phys. Scr.

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In the present work, an exact analytical approach has used to study dispersive behavior of the shear horizontal (SH) wave in magneto-electro-elastic (MEE) material, loaded with a viscoelastic fluid. Complex dispersion equations are derived in the cases of electric short magnetic short (ESMS), electric short magnetic open (ESMO), electric open magnetic short (EOMS), and electric open magnetic open (EOMO) boundary conditions by solving the equilibrium equations of MEE material and the Stokes equation of viscoelastic fluid. To validate the present outcomes, the MEE material is changed into piezoelectric and piezomagnetic materials by taking some theoretical assumptions and the outcomes are matched with preexisting results. Effect of volume fraction, wave frequency, substrate thickness and thickness of the fluid layer on phase velocity and attenuation of SH wave have studied. This study may find its applications in better understanding of the surface acoustic wave devices incorporated with viscoelastic fluid layer.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Shear horizontal wave dispersion in two phase magneto-electro-elastic material loaded with viscoelastic fluid layer

Singh,

Prasad

2024

Phys. Scr.

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“…They showed that the non-dimensional natural frequencies obtained from circular nanoplates are higher than those predicted for annular types. In another paper, Thai and his coauthors [22] used the nonlocal strain gradient theory, HSDT, and isogeometric analysis technique to study free vibration analysis of functionally graded (FG) magneto-electro-elastic rectangular nanoplates. They concluded that, considering the nonlocal coefficient is equal to or larger than the strain gradient coefficient, the results gained by the classical theory are higher than those predicted by the nonlocal strain gradient theory.…”

Section: Introductionmentioning

confidence: 99%

The Nonlinear Bending of Sector Nanoplate via Higher-Order Shear Deformation Theory and Nonlocal Strain Gradient Theory

Sadeghian,

Jamil,

Palevicius

et al. 2024

Mathematics

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In this context, the nonlinear bending investigation of a sector nanoplate on the elastic foundation is carried out with the aid of the nonlocal strain gradient theory. The governing relations of the graphene plate are derived based on the higher-order shear deformation theory (HSDT) and considering von Karman nonlinear strains. Contrary to the first shear deformation theory (FSDT), HSDT offers an acceptable distribution for shear stress along the thickness and removes the defects of FSDT by presenting acceptable precision without a shear correction parameter. Since the governing equations are two-dimensional and partial differential, the extended Kantorovich method (EKM) and differential quadrature (DQM) have been used to solve the equations. Furthermore, the numeric outcomes were compared with a reference, which shows good harmony between them. Eventually, the effects of small-scale parameters, load, boundary conditions, geometric dimensions, and elastic foundations are studied on maximum nondimensional deflection. It can be concluded that small-scale parameters influence the deflection of the sector nanoplate significantly.

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“…Esen and Ozmen [6] investigated the thermal vibration and buckling of magneto-electro-elastic functionally graded porous nanoplates using nonlocal strain gradient elasticity. Thai et al, [7] presented a nonlocal strain gradient iso-geometric model, which includes the higher-order shear deformation theory, nonlocal strain gradient theory and iso-geometric analysis method, for free vibration analysis of functionally graded nanoplates made of magneto-electro-elastic materials. Further, Zhou and Qu [8] introduced the magneto-electroelastic coupling iso-geometric analysis method for the static and dynamic analysis of magneto-electroelastic structures under thermal loading.…”

Section: Introduction *mentioning

confidence: 99%

Buckling and Post-buckling of Sandwich Plate with Functionally Graded Graphene Origami Reinforced Core Layer in Hygrothermal Environment

Minh Anh,

Dat,

Duc

2023

MaP

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The buckling and post-buckling of magneto-electric-elastic (MEE) sandwich plate are presented. The core layer consists of epoxy matrix reinforced with graphene origami auxetic metal-material in which the volume fraction of graphene origami is assumed to vary the thickness direction in three different distributions. For MEE face sheets, the proportions of ferroelectric and ferromagnetic components are chosen equally. The Reddy's higher order shear deformation plate theory forms the basis for establishing the governing equations. The axial compressive loading- deflection amplitude relation and the expression of critical buckling loading are obtained through the application of Galerkin method. The method's accuracy is validated by comparing its results with those published by other authors. The influences of various parameters on the buckling and post-buckling of the sandwich plate are investigated in details.

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A nonlocal strain gradient isogeometric model for free vibration analysis of magneto-electro-elastic functionally graded nanoplates

Cited by 30 publications

References 78 publications

Shear horizontal wave dispersion in two phase magneto-electro-elastic material loaded with viscoelastic fluid layer

Shear horizontal wave dispersion in two phase magneto-electro-elastic material loaded with viscoelastic fluid layer

The Nonlinear Bending of Sector Nanoplate via Higher-Order Shear Deformation Theory and Nonlocal Strain Gradient Theory

Buckling and Post-buckling of Sandwich Plate with Functionally Graded Graphene Origami Reinforced Core Layer in Hygrothermal Environment

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