A comprehensive study on vibration and buckling of orthotropic double-layered graphene sheets under hygrothermal loading with different boundary conditions

Radić, Nebojša; Jeremić, Dejan

doi:10.1016/j.compositesb.2017.07.019

Cited by 20 publications

(3 citation statements)

References 54 publications

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“…Much effort has been done to understand the small scale effect on mechanical behaviors of graphene sheets based on nonlocal differential constitutive relations of Eringen. Most of the previous studies revealed that the value of small scale coefficient e 0 a was not exactly determined [27][28][29][30][31][32][33][34][35][36][37], although it was deemed to be computable by molecular dynamics. A conservative estimation for e 0 a is no larger than 2 nm.…”

Section: Introductionmentioning

confidence: 99%

A proposition: feasibility of classical plate theory on bending monolayer graphene

Yan

Jiang

et al. 2023

Phys. Scr.

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In this paper, we carry out a comparison study between classical plate theory and “bottom to top” atomistic-continuum multiscale model regarding the prediction of bending of monolayer graphene to state the general feasibility of classical plate theory. We replaced the commonly used interlayer spacing value by the newly launched intrinsic material thickness value as the monolayer graphene thickness. Based on this correction, we amend the flexural rigidity and found that classical plate theory gives a much better prediction of the force-bending deflection curve for various graphene obtained by the atomistic-continuum multiscale approach. The onset of weak nonlinearity observed by the atomistic-continuum approach is at a midpoint deflection of ~0.01 nm, approximately 0.14 w/h ratio, which secondarily confirm the feasibility of our newly proposed intrinsic material thickness value. The effect of boundary constraint, graphene size and loading mode on the bending of graphene is discussed to explain the cause of deviation between the two methods, and finally we confirm the feasibility of classical plate theory on bending monolayer graphene.

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Section: Introductionmentioning

confidence: 99%

A proposition: feasibility of classical plate theory on bending monolayer graphene

Yan

Jiang

et al. 2023

Phys. Scr.

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“…Joshi et al [28] used the strain gradient elasticity to explore temperature effect on the vibrations of cracked Kirchhoff FGM microplates. Radić and Jeremić [29] studied the buckling and vibrations of orthotropic doublelayered graphene sheets under hygrothermal loadings based on the differential form of nonlocal theory of elasticity. Al-Shujairi and Mollamahmutoǧlu [30] developed a nonlocal strain gradient beam model for the free vibration and buckling responses of FGM sandwich microbeams under thermal conditions.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes

Song

Sahmani

Safaei

2021

Appl. Math. Mech.-Engl. Ed.

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This study presents the size-dependent nonlinear thermal postbuckling characteristics of a porous functionally graded material (PFGM) microplate with a central cutout with various shapes using isogeometric numerical technique incorporating nonuniform rational B-splines. To construct the proposed non-classical plate model, the nonlocal strain gradient continuum elasticity is adopted on the basis of a hybrid quasithree-dimensional (3D) plate theory under through-thickness deformation conditions by only four variables. By taking a refined power-law function into account in conjunction with the Touloukian scheme, the temperature-porosity-dependent material properties are extracted. With the aid of the assembled isogeometric-based finite element formulations, nonlocal strain gradient thermal postbuckling curves are acquired for various boundary conditions as well as geometrical and material parameters. It is portrayed that for both size dependency types, by going deeper in the thermal postbuckling domain, gaps among equilibrium curves associated with various small scale parameter values get lower, which indicates that the pronounce of size effects reduces by going deeper in the thermal postbuckling regime. Moreover, we observe that the central cutout effect on the temperature rise associated with the thermal postbuckling behavior in the presence of the effect of strain gradient size and absence of nonlocality is stronger compared with the case including nonlocality in absence of the strain gradient small scale effect.

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“…The presented plate theory has been considered as an accurate and simple theory that treated the free vibration analysis of moderately thick isotropic, orthotropic and laminated composite plates. Vibration and buckling of orthotropic double-layered graphene sheets under hygrothermal loading with different boundary conditions have been analyzed by Radic and Jeremic (Radić and Jeremić, 2017). Li et al (Li et al, 2017) proposed a spectral element model for thermal effects on vibration and buckling of laminated beams based on a trigonometric shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

A novel one-variable first-order shear deformation theory for biaxial buckling of a size-dependent plate based on Eringen’s nonlocal differential law

Malikan

Nguyen

2018

WJE

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CitationMalikan, M., and Nguyen, V. (2018) 'A novel one-variable firstorder shear deformation theory for biaxial buckling of a sizedependent plate based on Eringen's nonlocal differential law"', World Journal of Engineering, 15(5), pp.633-645. AbstractPurpose -This paper presents a new One Variable First-order Shear Deformation Theory (OVFSDT) using nonlocal elasticity concepts for buckling of graphene sheets. Design/methodology/approach -The FSDT had errors in its assumptions due to assuming constant shear stress distribution along thickness of the plate, even though by using shear correction factor (SCF) it has been slightly corrected, the errors have been remained due to the fact that the exact value of SCF has not already been accurately identified. By utilizing two-variable first-order shear deformation theories these errors decreased further by removing the SCF. In order to consider nanoscale effects on the plate, the Eringen's nonlocal elasticity theory was adopted. The critical buckling loads were computed by Navier's approach. The obtained numerical results were then compared with previous studied results using molecular dynamics simulations and other plate theories for validation which also showed the accuracy and simplicity of the proposed theory. Findings -In comparing the biaxial buckling results of the proposed theory with the two-variable shear deformation theories and exact results, it revealed that the two-variable plate theories were not appropriate for the investigation of asymmetrical analyses. Originality/value -A formulation for FSDT was innovated by reconsidering its errors in order to improve the FSDT for investigation of mechanical behavior of nanoplates.

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A comprehensive study on vibration and buckling of orthotropic double-layered graphene sheets under hygrothermal loading with different boundary conditions

Cited by 20 publications

References 54 publications

A proposition: feasibility of classical plate theory on bending monolayer graphene

A proposition: feasibility of classical plate theory on bending monolayer graphene

Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes

A novel one-variable first-order shear deformation theory for biaxial buckling of a size-dependent plate based on Eringen’s nonlocal differential law

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