Thermo-mechanical vibration of double-layer graphene nanosheets in elastic medium considering surface effects; developing a nonlocal third order shear deformation theory

Allahyari, Ehsan; Asgari, Masoud

doi:10.1016/j.euromechsol.2019.01.022

Cited by 13 publications

(4 citation statements)

References 69 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Wu and Li 28 formulated a multiple time scale method to analyze the SLGSs embedded in the Pasternak foundation based on the Eringen nonlocal elasticity model. In a crucial study, Allahyari and Asgari 29 developed a nonlocal HSDT to consider vibrations of a DLGS placed in an elastic matrix and thermal environment and also studied the surface effects. Hashemi et al 30 combined the internal viscosity to the elastic model of DLGSs and evaluated the natural frequencies while the DLGS was rested in a Pasternak medium.…”

Section: Introductionmentioning

confidence: 99%

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:

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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:

View full text Add to dashboard Cite

show abstract

“…are called the midplane displacement, (u, v, w) are the displacement along x, y and z directions and ( x , y ) are the rotations of a transverse normal about the y and x axes, respectively [27]. The transverse shear…”

Section: Reddy's Third-order Theorymentioning

confidence: 99%

“…Now the variation of kinetic energy for TSDT is concluded as (13) The mass moments of inertia are defined as [27] The elastic foundation and thermal changes can be considered as external loads which mean (15)…”

Section: Reddy's Third-order Theorymentioning

confidence: 99%

Effects of in-phase and anti-phase large amplitude nonlinear models for double-layer nanostructures

Allahyari

Asgari

2019

SN Appl. Sci.

Self Cite

View full text Add to dashboard Cite

Double layer nano plates have magnificent applications in nanostructures such as, nano sensors, nano actuators and nano transistors. So, the main aim of the presented study is to propose an analytical model based on Reddy's third-order shear deformation theory of plates which has a difficult procedure due to the great number of partial differential equations and nonlocal strain gradient theory. Due to the fact that numerical approaches aren't good enough accurate and need more time to calculate, the multiple scales method which is a useful method in systems characterized by disparate time scales and in a variety of situations for extracting the slow time dependence of patterns or other systems is adopted. Based on von Kármán equations as well as the theory of nonlocal strain gradient, the coupled nonlinear equations are derive. Compared to the other related published literature, acceptable agreement can be seen under different boundary conditions. Effect of size depended parameter on in-phase and anti-phase modes considering the SSSS and CCCC boundary condition is indescribable which means by increasing the nonlocal parameter nonlinear frequency and also the natural frequency of nanostructure reduces.

show abstract

“…Khoa et al [37] observed nonlinear dynamic response and vibration of functionally graded nanocomposite cylindrical panel reinforced by carbon nanotubes in thermal environment. In [38], Allahyari and Asgari found that thermo-mechanical vibration of double-layer graphene nanosheets in elastic medium considering surface effects; developing a nonlocal third order shear deformation theory. Wang and Shi [39] presented a refined laminated plate theory accounting for the third order shear deformation and interlaminar transverse stress continuity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Porous Funcationally Graded Cylindrical Panel Using Reddy’s High Order Shear Deformation

Anh¹,

Duc

2019

MaP

View full text Add to dashboard Cite

The nonlinear dynamic response and vibration of the porous functionally graded cylindrical panel (PFGCP) subjected to the thermal load, mechanical load and resting on elastic foundations are determined by an analytical approach as the Reddy’s third-order shear deformation theory, Ahry’s function… The results for dynamic response of PFGCP present the effect of geometrical ratio, elastic foundations: Winkler foundation and Paskternak foundation, loads: mechanical load and thermal load, the material properties and distribution type of porous. The results are shown as numerical results, figures and are determined by using Galerkin methods and Fourth-order Runge-Kutta method.

show abstract

Thermo-mechanical vibration of double-layer graphene nanosheets in elastic medium considering surface effects; developing a nonlocal third order shear deformation theory

Cited by 13 publications

References 69 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

Effects of in-phase and anti-phase large amplitude nonlinear models for double-layer nanostructures

Nonlinear Vibration of Porous Funcationally Graded Cylindrical Panel Using Reddy’s High Order Shear Deformation

Contact Info

Product

Resources

About