Free vibration and biaxial buckling analysis of double magneto-electro-elastic nanoplate-systems coupled by a visco- Pasternak medium via nonlocal elasticity theory

Jamalpoor, A.; Ahmadi-Savadkoohi, A.; Hosseini, Mohammad; Hosseini-Hashemi, Shahrokh

doi:10.1016/j.euromechsol.2016.12.002

Cited by 76 publications

(16 citation statements)

References 35 publications

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“…10 They employed the first-order shear deformation theory and derived the finite element formulation. The analysis of free vibration and biaxial buckling of double-MEE nano-plate-systems subjected to initial external magnetic and electric potentials using nonlocal plate theory was studied by Jamalpoor et al 11 They supposed that the two nano-plates are bonded with each other using a visco-Pasternak medium. For the analysis of micro- and nano-structures, couple stress theory, modified couple stress theory, and nonlocal elastic theory were used.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory

Park

Han

2018

Advances in Mechanical Engineering

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Buckling analysis of nonlocal magneto-electro-elastic nano-plate is investigated based on the higher-order shear deformation theory. The in-plane magnetic and electric fields can be ignored for magneto-electro-elastic nano-plates. According to magneto-electric boundary condition and Maxwell equation, the variation of magnetic and electric potentials along the thickness direction of the magneto-electro-elastic plate is determined. To reformulate the elastic theory of magnetoelectro-elastic nano-plate, the nonlocal differential constitutive relations of Eringen is applied. Using the variational principle, the governing equations of the nonlocal theory are derived. The relations between local and nonlocal theories are studied by numerical results. Also, the effects of nonlocal parameters, in-plane load directions, and aspect ratio on buckling response are investigated. Numerical results show the effects of the electric and magnetic potentials. These numerical results can be useful in the design and analysis of advanced structures constructed from magneto-electro-elastic materials.

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Section: Introductionmentioning

confidence: 99%

Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory

Park

Han

2018

Advances in Mechanical Engineering

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“…The applied virtual work by visco-Pasternak foundation and external loads is defined by the following relation (Jamalpoor et al, 2017; Jamalpoor and Kiani, 2017)…”

Section: Modeling Of Problem and Formulationmentioning

confidence: 99%

Free vibration problem of embedded magneto-electro-thermo-elastic nanoplate made of functionally graded materials via nonlocal third-order shear deformation theory

Kiani

Sheikhkhoshkar

Jamalpoor

et al. 2017

Journal of Intelligent Material Systems and Structures

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In the present article, according to the nonlocal elasticity theory within the framework of the third-order shear deformable plate assumption, the theoretical analysis of thermomechanical vibration response of magneto-electro-thermo-elastic nanoplate made of functionally graded materials resting on the visco-Pasternak medium is carried out. The simply supported magneto-electro-thermo-elastic nanoplate is supposed to subject to initial external electric, magnetic potentials, and temperature environment. The material characteristics of magneto-electro-thermo-elastic nanoplate are assumed to be variable continuously across the thickness direction based upon power law distribution. Hamilton’s principle is utilized to achieve the partial differential equations and corresponding boundary conditions. The equilibrium equations are solved analytically to determine the complex eigenfrequency using Navier’s approach which satisfies the simply supported boundary conditions. Numerical studies are performed to illustrate the dependency of the natural frequency of the system on the damping coefficient of the visco-Pasternak medium, nonlocal parameter, aspect ratio, temperature change, volume fraction index of functionally graded material, initial external electric voltage, initial external magnetic potential, and plate thickness. It is clearly indicated that these factors have highly significant impacts on the dynamic behavior of the proposed system.

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“…Vibration behavior of the functionally graded piezoelectric plates was investigated in the work of Jandaghian and Rahmani (2016) and Su et al (2018). Furthermore, various investigations have been carried out in which the size effect was considered on the mechanical behavior of nano-plates based on nonlocal elasticity theory (Hosseini et al, 2016b, 2017a; Jamalpoor et al, 2017). Jia et al (2018) studied thermal–mechanical–electrical buckling behavior of the FG micro-beams based on MCST.…”

Section: Introductionmentioning

confidence: 99%

Structural instability of non-conservative functionally graded micro-beams tunable with piezoelectric layers

Hosseini

Bahaadini

Khalili-Parizi

2019

Journal of Intelligent Material Systems and Structures

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This investigation aims to explore the non-conservative instability of a functionally graded material micro-beam subjected to a subtangential force. The functionally graded material micro-beam is integrated with piezoelectric layers on the lower and upper surfaces. To take size effect into account, the mathematical derivations are expanded in terms of three length scale parameters using the modified strain gradient theory in conjunction with the Euler–Bernoulli beam model. However, the modified strain gradient theory includes modified couple stress theory and classical theory as special cases. Applying extended Hamilton’s principle and Galerkin method, the governing equation and corresponding boundary conditions are obtained and then solved numerically by the eigenvalue analysis, respectively. The results illustrated effects of non-conservative parameter, length scale parameter, different material gradient index, and various values of piezoelectric voltage on the natural frequencies, flutter and divergence instabilities of a cantilever functionally graded material micro-beam. It is found that both the material gradient index and applied piezoelectric voltage have significant influence on the vibrational behaviors, divergence and flutter instability regions. Furthermore, a comparison between the various micro-beam theories on the basis of modified couple stress theory, modified strain gradient theory, and classical theory are presented.

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Free vibration and biaxial buckling analysis of double magneto-electro-elastic nanoplate-systems coupled by a visco- Pasternak medium via nonlocal elasticity theory

Cited by 76 publications

References 35 publications

Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory

Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory

Free vibration problem of embedded magneto-electro-thermo-elastic nanoplate made of functionally graded materials via nonlocal third-order shear deformation theory

Structural instability of non-conservative functionally graded micro-beams tunable with piezoelectric layers

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