Electro-magneto wave propagation analysis of viscoelastic sandwich nanoplates considering surface effects

Arani, A. Ghorbanpour; Jamali, M; Kolahchi, Reza; Mosayyebi, Mohammad

doi:10.1177/0954406215627830

Cited by 45 publications

(11 citation statements)

References 53 publications

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“…Graphene is a hexagonal layer of single carbon atoms bonded together. At the nanoscale, graphene has many applications in engineering nanostructures 29 . Additionally, similar to CNT, graphene also has many outstanding advantages and is a viable material for advanced composite production.…”

Section: Introductionmentioning

confidence: 99%

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Nam,

Van Doan,

Phuong

2023

Polymer Composites

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This paper presents and analyzes the nonlinear buckling responses of three types of shallow imperfect panels (cylindrical panel, parabolic panel, and half‐sinusoid panel) made from functionally graded graphene reinforced composite (FG‐GRC) on nonlinear elastic foundations subjected to axial compressive load in thermal environments. The nonlinear governing equations are formulated on Reddy's higher‐order shear deformation shell theory (HSDST) and take into account von Karman‐type nonlinearity. A new approximation technique to determine the stress function in average sense is developed and Galerkin's method is used to obtain the algebraically nonlinear equation system. Then, the simple calculation process can be used to solve the obtained equation systems, and the formulations to calculate the critical buckling loads and postbuckling load‐deflection curves are expressed in explicit form. The results can be flexibly applied to FG‐GRC panels with different curvatures in engineering designs. The effects of panel types, geometrical parameters, temperature increase, initial imperfection, and nonlinear elastic foundations on the critical buckling loads and postbuckling curves of cylindrical, parabolic, and half‐sinusoid FG‐GRC panels are discussed in numerical results. Numerical results also show a small disadvantage in the load‐carrying capacity of cylindrical panels compared to parabolic panels and half‐sinusoid shallow panels.Highlights Postbuckling of cylindrical, parabolic, and half‐sinusoid panels are studied. The panels are made of functionally graded graphene reinforced composite. Reddy's higher‐order shear deformation shell theory is applied. A new approximation technique to determine the stress function is developed. Critical buckling loads and postbuckling expressions are explicitly obtained.

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Section: Introductionmentioning

confidence: 99%

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Nam,

Van Doan,

Phuong

2023

Polymer Composites

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“…[25, 26], Zhen and Zhou [27], Ghorbanpour Arani et al. [28], Bahaadini et al. [29–31], and Atashafrooz et al.…”

Section: Introductionmentioning

confidence: 99%

“…Narendar and Gopalakrishnan [23] investigated wave dispersion behavior of rotating nanotubes according to the theory of nonlocal elasticity. Besides, Tang et al [24], Zeighampour et al [25,26], Zhen and Zhou [27], Ghorbanpour Arani et al [28], Bahaadini et al [29][30][31], and Atashafrooz et al [32] have shown the current advancements regarding the wave propagation and stability analysis of the nanostructures according to the theory of nonlocal strain gradient.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in rotating thin‐walled porous blades reinforced with graphene platelets

2022

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In this study, wave propagation in functionally graded (FG) graphene reinforced porous nanocomposite rotating thin‐walled blades is examined. The porous matrix shows both uniform and nonuniform distribution of graphene platelet alongside the thickness direction. The rule of mixture is used to obtain the effective Young's modulus, based on the Halpin–Tsai micromechanics model along with the mass density as well as Poisson's ratio of the porous blades. Applying the theory of first‐order shear deformation, it is possible to derive the governing motion equations based on Hamilton's principle whose analytical solution results in obtaining wave frequency as well as phase velocity of the rotating thin‐walled porous blades. According to the theory of thin‐walled Timoshenko beam, both lagging and flapping vibration modes have been considered. The impacts of number of layers, graphene platelets together with porous distribution patterns, weight fraction of graphene platelets, geometry of graphene platelets nanofillers as well as porosity coefficient on the wave propagation behaviors of the rotating thin‐walled porous blades are examined for the first time. The results show that the symmetric distribution of porosity with graphene platelets pattern A can predict the highest wave frequency and phase velocity for the composite blades.

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“…Ghorbanpour Arani et al. 63 studied the wave propagation behaviors of viscoelastic sandwich nanoplates with respect to the surface effects and smart properties of nanoplate. Lately, Xiao et al.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation analysis of magnetostrictive sandwich composite nanoplates via nonlocal strain gradient theory

Ebrahimi

Dabbagh

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, the survey of the wave dispersion behaviors of sandwich composite nanoplates is carried out by considering the magnetostriction phenomenon. The nanoplate is assumed to be made up of a central magnetostrictive core in addition to two composite face sheets. The scale influences are covered based on the nonlocal strain gradient theory. Moreover, the equations of plate motion are derived according to the classical plate theory. Afterward, the magnetization effects are considered by introducing a feedback control system. Then, Hamilton’s principle is introduced to obtain the Euler–Lagrange equations of the magnetostrictive sandwich composite nanoplate. Also, by relating the achieved equations with those of the nonlocal strain gradient theory, the nonlocal governing equations of magnetostrictive sandwich composite nanoplate are developed. The wave frequency and phase velocity values are computed by the application of an analytical solution. Finally, the effects of participant coefficients are illustrated separately through certain figures.

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Electro-magneto wave propagation analysis of viscoelastic sandwich nanoplates considering surface effects

Cited by 45 publications

References 53 publications

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Wave propagation in rotating thin‐walled porous blades reinforced with graphene platelets

Wave propagation analysis of magnetostrictive sandwich composite nanoplates via nonlocal strain gradient theory

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