Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate theory

Arshid, Ehsan; Khorasani, Manouchehr; Soleimani‐Javid, Zeinab; Amir, Saeed; Tounsi, Abdelouahed

doi:10.1007/s00366-021-01382-y

Cited by 120 publications

(15 citation statements)

References 65 publications

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“…The external work includes three terms, namely, the thermal force, the external force related to humidity and the elastic substrate force, defined as follows [34]:…”

Section: Governing Equationsmentioning

confidence: 99%

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Khorasani¹,

Lampani²,

Dimitri³

et al. 2021

Molecules

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Due to the widespread use of sandwich structures in many industries and the importance of understanding their mechanical behavior, this paper studies the thermomechanical buckling behavior of sandwich beams with a functionally graded material (FGM) middle layer and two composite external layers. Both composite skins are made of Poly(methyl methacrylate) (PMMA) reinforced by carbon-nano-tubes (CNTs). The properties of the FGM core are predicted through an exponential-law and power-law theory (E&P), whereas an Eshelby–Mori–Tanaka (EMT) formulation is applied to capture the mechanical properties of the external layers. Moreover, different high-order displacement fields are combined with a virtual displacement approach to derive the governing equations of the problem, here solved analytically based on a Navier-type approximation. A parametric study is performed to check for the impact of different core materials and CNT concentrations inside the PMMA on the overall response of beams resting on a Pasternak substrate and subjected to a hygrothermal loading. This means that the sensitivity analysis accounts for different displacement fields, hygrothermal environments, and FGM theories, as a novel aspect of the present work. Our results could be replicated in a computational sense, and could be useful for design purposes in aerospace industries to increase the tolerance of target productions, such as aircraft bodies.

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“…The external work includes three terms, namely, the thermal force, the external force related to humidity and the elastic substrate force, defined as follows [34]:…”

Section: Governing Equationsmentioning

confidence: 99%

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Khorasani¹,

Lampani²,

Dimitri³

et al. 2021

Molecules

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show abstract

“…Many researchers developed and used different higher-order shear deformation theory (HSDT) to study bending, buckling and response of plate with simply supported boundary [16]- [17], on a viscoelastic foundation or resting on a Winkler-Pasternak elastic foundation, in thermal or in a hygrothermal environment or under hygro-thermo-mechanical load [18]- [20] which were as composite, functionally graded (FG), sandwich plate or made from porous functionally graded material [21]- [22], while effect of these enviornment on vibration behavior for these plates were investigated by [23]- [24]. Thermal stability of porous functionally graded material beam (of power law) under different thermal load distribution and boundary conditions were analyzed by [25]. Effect of reinforcement material (such as carbon nanotubes (CNTs)) on vibration berhavior of microplates and shell in thermal environment were discussed by [26]- [27], using developed shear deformation theory with five or more unknown.…”

Section: Introductionmentioning

confidence: 99%

Thermal Buckling of Laminated Plates using Modified Mantari Function

Majeed¹,

Sadiq²

2022

JMechE

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Critical buckling temperature of laminated plate under thermal load varied linearly along the thickness, is developed using a higher-order shape function which depends on a parameter ‘‘m’’, which is improved to obtain results for thin and thick plates. Laminated plates’ equations of motion are obtained using virtual work principle and solved for simply supported boundary conditions. Angle and cross laminates thermal buckled mode shapes with different E1/E2 proportion, number of plies, (α2/α1) proportion, aspect ratios, are investigated. It is observed that this shape function gives thermal buckling for thin and thick plates but with m = 0.05 that agree well with other theories and linear distribution of temperature gives a rise to critical temperature approach to 50% than those caused by uniform thermal distribution.

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“…Based on some shell theories and analytical approaches, the buckling and postbuckling responses of FG-CNTRC cylindrical panels, circular cylindrical shells and toroidal shell segments with simply supported and tangentially restrained edges under thermal, mechanical and thermomechanical loads have been analyzed by Tung and collaborators. 38–43 Recently, the static, vibration and stability analyses of nanocomposite disks and panels reinforced by graphene platelets have been addressed in works 44–48 using generalized differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic stability of thin CNT-reinforced composite cylindrical panels with elastically restrained edges under nonuniform in-plane temperature distribution

Trang

Tung

2021

Journal of Thermoplastic Composite Materials

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In order to fill the evident lack of investigations on nonlinear response of nanocomposite curved panels under nonuniform temperature, this paper aims to analyze the nonlinear thermoelastic stability of cylindrical panels made of carbon nanotube (CNT) reinforced composite, rested on elastic foundations and subjected to sinusoidal-type in-plane temperature distribution. Reinforcement is carried out through functional rules of CNT volume fraction. An extended rule of mixture is adopted to estimate the effective properties of CNT-reinforced composite. Governing equations are derived based on classical shell theory accounting for von Kármán–Donnell nonlinearity, initial imperfection, interactive pressure from elastic foundation, and preexisting lateral pressure. In addition, the elasticity of in-plane constraints of boundary edges is included. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin procedure is adopted to derive nonlinear closed-form relation between thermal load and deflection. Parametric studies are carried out and interesting remarks are obtained. The present study finds that, unlike case of uniform temperature rise, thermal instability of cylindrical panels under sinusoidal temperature distribution still occurs even though all edges are movable and load carrying capacity is the weakest for an intermediate value of CNT volume fraction. Under sinusoidal temperature distribution, the cylindrical panel may be deflected at the onset of loading and, for the most part, has no longer bifurcation-type buckling response. Furthermore, small values of preexisting external pressure have beneficial influences on the stability of nanocomposite cylindrical panels under nonuniform thermal loads.

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Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate theory

Cited by 120 publications

References 65 publications

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Thermomechanical Buckling Analysis of the E&P-FGM Beams Integrated by Nanocomposite Supports Immersed in a Hygrothermal Environment

Thermal Buckling of Laminated Plates using Modified Mantari Function

Thermoelastic stability of thin CNT-reinforced composite cylindrical panels with elastically restrained edges under nonuniform in-plane temperature distribution

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