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

Abstract

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.

Asymptotic approach to anti‐plane dynamic problem of asymmetric three‐layered composite plate

“…Moreover, the literature on multilayered media is indeed very rich and accommodates various features counting the stability and vibrational analysis aspects of multilayered canonical, cylindrical, and rectangular shells [23][24][25][26] as well as examining different wave forms in a variety of structures. [27][28][29][30] However, in the present manuscript, we extend the recent work by Prikazchikova et al 10 on the low-frequency anti-plane shear dynamics of a three-layered symmetric inhomogeneous plate to the asymmetric version of the plate using the same asymptotic approach. The material contrast setup considered in 10 for a three-layered plate with stiff skin layers and soft core layer will be investigated here for the long-wave low-frequency dispersion.…”

“…We have equally got other relevance including the SH waves propagation in nonlinear heterogeneous plates, 20 the effect of viscous damping on the propagation of waves in three‐layered composites, 21 and the diffraction of electromagnetic waves in bi‐isotropic homogeneous media, 22 to mention a few. Moreover, the literature on multilayered media is indeed very rich and accommodates various features counting the stability and vibrational analysis aspects of multilayered canonical, cylindrical, and rectangular shells 23–26 as well as examining different wave forms in a variety of structures 27–30 …”

Nonlocal Timoshenko shear beam model for multilayer curved graphene nano-switches

“…A nonlocal elasticity theory-based analysis of the thermal buckling behavior of circular bilayer graphene sheets embedded in an elastic medium is presented in [41]. Dastjerdi and Malikan investigated the nonlinear bending behavior of double-layered graphene sheets based on the nonlocal elasticity [42]. Danesh and Javanbakht investigated the free vibration behavior of nonlocal nanobeams using the nonlocal Timoshenko beam theory and two-dimensional nonlocal integral elasticity theory.…”