Comparing magnitudes of surface energy stress in synchronous and asynchronous bending/buckling analysis of slanting double-layer METE nanoplates

Karimi, Morteza; Shahidi, Alireza

doi:10.1007/s00339-019-2429-8

Cited by 12 publications

(5 citation statements)

References 50 publications

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“…The in-plan Fig. 80 The diversity in NL FR at various amplitude ratio at various BCs & various span thickness ratios [607] Fig. 81 The impact of various CNT distribution on the transvers mode with unstable regions [609] uniformly compressed plates with three-layer FGM with high power law above 5 achieved sign-frequencies and critical loading than those obtained by plate type 1-1 and type 1-2.…”

Section: Mixed Solution Without Considering the Sdementioning

confidence: 99%

“…However, a multifunctional sandwich foam plates cohesive by composite faces were considered and studied by Safaei [79] to explore the frequency reliant on damped vibrations. Besides, Karimi and Shahidi [80] investigated the asynchronous bending/stability analyses of skew double layered magneto-electro-thermo-elastic (METE) NPs shown in Fig. 3 (b).…”

Section: Various Composite Nano/microplatesmentioning

confidence: 99%

“…However, the developed model can be used in analyzing the NL/linear geometric Fig. 3 Various NPs schematics a BiTiO 3 -CoFe 2 O 4 NPs subjected to thermal & in-plane loads [77], b skew double layered METE NPs [80], c flexoelectric NPs with EF [70], d FGM NPs subjected to linearly varying biaxial thermos-mechanical load [82], e embedded FGM NPs subjected to ME field [84], f METE NPs with a surface layers [85], & g FGM annular NP subjected to a uniform compressive load [87] of LCPs and other thin walled structures. Furthermore, Sahmani et al [107] explored the NL axial instability of FGPPs reinforced with Graphene nanoplatelet (GNP) by using NSGT and the virtual work's principle was used to drive the NCL GE.…”

Section: Various Composite Nano/microplatesmentioning

confidence: 99%

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Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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Recently, the mechanical performance of various mechanical, electrical, and civil structures, including static and dynamic analysis, has been widely studied. Due to the neuroma's advanced technology in various engineering fields and applications, developing small-size structures has become highly demanded for several structural geometries. One of the most important is the nano/micro-plate structure. However, the essential nature of highly lightweight material with extraordinary mechanical, electrical, physical, and material characterizations makes researchers more interested in developing composite/laminated-composite-plate structures. To comprehend the dynamical behavior, precisely the linear/nonlinear-free vibrational responses, and to represent the enhancement of several parameters such as nonlocal, geometry, boundary condition parameters, etc., on the free vibrational performance at nano/micro scale size, it is revealed that to employ all various parameters into various mathematical equations and to solve the defined governing equations by analytical, numerical, high order, and mixed solutions. Thus, the presented literature review is considered the first work focused on investigating the linear/nonlinear free vibrational behavior of plates on a small scale and the impact of various parameters on both dimensional/dimensionless natural/fundamental frequency and Eigen-value. The literature is classified based on solution type and with/without considering the size dependency effect. As a key finding, most research in the literature implemented analytical or numerical solutions. The drawback of classical plate theory can be overcome by utilizing and developing the elasticity theories. The nonlocality, weight fraction of porosity, or the reinforcements, and its distribution type of elastic foundation significantly influence the frequencies.

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Section: Mixed Solution Without Considering the Sdementioning

confidence: 99%

Section: Various Composite Nano/microplatesmentioning

confidence: 99%

Section: Various Composite Nano/microplatesmentioning

confidence: 99%

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Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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“…In equations ( 25), the expressions within the parenthesis are twodimensional matrix differential operators by which the derivatives in the energy functional are discretized. Accordingly, the energy functional in relationship (17) is discretized in three column vectors with different sizes as…”

Section: Discretization Of the Energy Functionalmentioning

confidence: 99%

“…Shahabodini et al 16 adopted an atomistic-based continuum theory in the framework of the higher-order Cauchy-Born rule to address the free vibrations of embedded single-layer graphene sheets. Karimi and Shahidi 17 studied the values of surface stress in the bending and buckling analyzes of double-layer magneto-electro-thermo-elastic nanoplates with oblique edges. Gholami et al 18 suggested a multiscale scheme accounting for the geometric and material nonlinearities to investigate the vibrations behavior of embedded graphene sheets with large-amplitude of oscillations.…”

Section: Introductionmentioning

confidence: 99%

On the buckling and bending analysis of FG straight-sided quadrilateral nanoplates using a continuum mechanics-based surface elastic model

Shahabodini

Ahmadi

2021

Proceedings of the Institution of Mechanical Engineers, Part N:

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In this research, an elastic model based on the continuum mechanics is developed to study the static behaviors of functionally graded (FG) arbitrary straight-sided quadrilateral nanoplates. The model is constructed in the framework of Gurtin-Murdoch’s surface and Mindlin’s plate theories to account for the surface energy and shear deformation effects, simultaneously. The variational differential quadrature (VDQ) method is used along with a mapping technique to do the discretization process in a variational framework by means of differential and integral operators. Consequently, a weak form of governing equations is obtained from the energy quadratic representation of the problem. The solution method is of a distinguished feature as it involves just the first-order derivative of the field components in the mapping and discretization. After assuring the effectiveness of presented model by doing comparative studies, the critical buckling load and static deflection of the FG nanoplates with different shapes in geometry are investigated considering the surface effects. It is found that the surface energies effect on the static behavior of the rectangular nanoplates is more significant as compared to the non-rectangular nanoplates.

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Bending and buckling analyses of BiTiO3–CoFe2O4 nanoplates based on nonlocal strain gradient and modified couple stress hypotheses: rate of surface layers variations

Karimi

Farajpour

2019

Appl. Phys. A

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Comparing magnitudes of surface energy stress in synchronous and asynchronous bending/buckling analysis of slanting double-layer METE nanoplates

Cited by 12 publications

References 50 publications

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

On the buckling and bending analysis of FG straight-sided quadrilateral nanoplates using a continuum mechanics-based surface elastic model

Bending and buckling analyses of BiTiO3–CoFe2O4 nanoplates based on nonlocal strain gradient and modified couple stress hypotheses: rate of surface layers variations

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