Buckling analysis of skew magneto-electro-thermo-elastic nanoplates considering surface energy layers and utilizing the Galerkin method

Karimi, Morteza; Shahidi, Alireza

doi:10.1007/s00339-018-2088-1

Cited by 29 publications

(2 citation statements)

References 43 publications

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“…3 (e). Besides, Karimi and Shahidi [85] considered the METE NPs shown in Fig. 3 (f) to examine the stability behavior by utilizing the Galerkin methodology and focusing on the surface energy layers.…”

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%

See 1 more Smart Citation

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: Various Composite Nano/microplatesmentioning

confidence: 99%

Section: Various Composite Nano/microplatesmentioning

confidence: 99%

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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Stabilized node‐based smoothed radial point interpolation method for micromechanical analysis of the magneto‐electro‐elastic structures in thermal environment

Ren

Meng

et al. 2020

Math Methods in App Sciences

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In this paper, the stabilized node‐based smoothed radial point interpolation method (SNS‐RPIM) is combined with asymptotic homogenization method (AHM) to investigate the static and transient responses of magneto‐electro‐elastic (MEE) structures in thermal environment. Stabilization terms are applied to construct a “close‐to‐exact” stiffness for the model; the temporal instability is also cured. To study the microscopic multi‐physics coupling problems more accurately, the effective material parameters related to the volume fraction of fiber are obtained based on AHM. Through numerical calculation, it is confirmed that SNS‐RPIM could simulate the responses of MEE structures well when combined with AHM. Therefore, the combination of SNS‐RPIM and AHM has great potential in studying nanostructures including nanobeams, nanoplates, and nanotubes.

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A general comparison the surface layer degree on the out-of-phase and in-phase vibration behavior of a skew double-layer magneto–electro–thermo-elastic nanoplate

Karimi

Shahidi

2019

Appl. Phys. A

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Buckling analysis of skew magneto-electro-thermo-elastic nanoplates considering surface energy layers and utilizing the Galerkin method

Cited by 29 publications

References 43 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

Stabilized node‐based smoothed radial point interpolation method for micromechanical analysis of the magneto‐electro‐elastic structures in thermal environment

A general comparison the surface layer degree on the out-of-phase and in-phase vibration behavior of a skew double-layer magneto–electro–thermo-elastic nanoplate

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