The effect of vacant defect on bending analysis of graphene sheets based on the Mindlin nonlocal elasticity theory

Dastjerdi, Shahriar; Lotfi, Masoumeh; Jabbarzadeh, Mehrdad

doi:10.1016/j.compositesb.2016.05.009

Cited by 15 publications

(8 citation statements)

References 28 publications

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“…In Figure 2, deflection of two layers versus the van der Waals interaction between two layers is compared. The plate specifications are given as follows 19…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Analysis of single layer defected graphene sheet was studied earlier. 19 In Figure 1, a double-layered graphene plate is considered which contains an internal eccentric hole. The bilayer sheet is embedded in Winkler–Pasternak elastic medium.…”

Section: Constitutive Equations and Solutionmentioning

confidence: 99%

“…Dastjerdi et al 18 derived the constitutive equations of nanoplates embedded in elastic matrix based on Eringen nonlocal elasticity theory and applied both first-order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). Moreover, Dastjerdi et al 19 investigated the eccentric defected monolayer graphene sheets embedded in an elastic matrix. They found that the types of boundary conditions and small-scale effects can affect the results.…”

Section: Introductionmentioning

confidence: 99%

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Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Dastjerdi

Malikan

2020

Proceedings of the Institution of Mechanical Engineers, Part N:

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In this article, we have tried to simulate nonlinear bending analysis of a double-layered graphene sheet which contains a geometrical imperfection based on an eccentric hole. The first-order shear deformation theory is considered to obtain the governing equations. Also, the nonlinear von Kármán strain field has been assumed in order to obtain large deformations. Whereas the double-layered graphene sheet has been considered, the effect of van der Waals forces has been taken into account in the analysis. In order to implement the nanoscale impact, the nonlocal elasticity theory has been employed. The solution methodology, which is here based on the semi-analytical polynomial method solving technique presented previously by the authors, has been applied and again its efficiency has been demonstrated due to its highly accurate results. Due to the fact that this research has been done for the first time and there is no validation available, the results of the local single layer sheet are compared with ABAQUS software. The effects of some other parameters on the results have been studied such as the value of eccentricity, van der Waals interaction, and nonlocal parameter.

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“…In Figure 2, deflection of two layers versus the van der Waals interaction between two layers is compared. The plate specifications are given as follows 19…”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Constitutive Equations and Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Dastjerdi

Malikan

2020

Proceedings of the Institution of Mechanical Engineers, Part N:

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“…The nonlinear bending behaviors of SLGSs subjected to a transverse uniform load in thermal environments were recently investigated using a nonlocal orthotropic plate model by Shen et al [66]. The nonlocal elasticity theory considering the Mindlin theory of the plates was utilized by Dastjerdi et al [67] to study the effects of eccentric vacant defects on the bending analysis of circular graphene sheets. The nonlinear bending behavior of a bilayer rectangular graphene sheet subjected to a transverse uniform load in thermal environments was studied by Xu et al [68], in which the bilayer graphene sheet (BLGS) is modeled as a nonlocal double-layered plate containing a small scale effect and van der Waals interaction forces.…”

Section: Large Deformationmentioning

confidence: 99%

Nonlocal elasticity theory for graphene modeling and simulation: prospects and challenges

Liew

Zhang

2017

Journal of Modeling in Mechanics and Materials

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Abstract:This paper presents a literature review of recent research studies on the applications of nonlocal elasticity theory in the modeling and simulation of graphene sheets (GSs). The history, development and excellent properties of GSs are introduced. The details of nonlocal elasticity theory are also presented. A systematic introduction to the application of nonlocal elasticity on linear modeling and nonlinear modeling for single-layer graphene sheets (SLGSs) and multilayered graphene sheets (MLGSs) is also provided. The necessity of determining mechanical parameters and nonlocal parameters is discussed. Recommendations for future work are particularly presented. This work is intended to review the development of GSs, give an introduction to the research studies on nonlocal elasticity theory in the modeling of GSs, and provide recommendations for future research.

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“…1 displays a realistic model for the nanobeam subjected to unidirectional compressive loads with length L, outer diameter d and thickness h parallel to x and z-axes, respectively. First, according to first-order shear deformation beam (FSDT) theory, the displacement field is presented as below [13,[34][35][36]: (1) the displacement field of the S-FSDT was rewritten as follows [37][38][39]:…”

Section: Introductionmentioning

confidence: 99%

Analytical Buckling of FG Nanobeams on The Basis of A New One Variable First-Order Shear Deformation Beam Theory

Malikan

Dastjerdi

2018

International Journal of Engineering and Applied Sciences

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In this work, buckling analysis of functionally graded (FG) nanobeams based on a new refined beam theory has been analyzed. The beam is modeled as an elastic beam subjected to unidirectional compressive loads. To achieve this aim, the new obtained beam theory has only one variable which lead to one equation similar to Euler beam theory and also is free of any shear correction factor. The equilibrium equation has been formulated by the nonlocal theory of Eringen to predict small-scale effects. The equation has been solved by

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The effect of vacant defect on bending analysis of graphene sheets based on the Mindlin nonlocal elasticity theory

Cited by 15 publications

References 28 publications

Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Nonlocal elasticity theory for graphene modeling and simulation: prospects and challenges

Analytical Buckling of FG Nanobeams on The Basis of A New One Variable First-Order Shear Deformation Beam Theory

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