Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix

Abstract

In the present manuscript, we developed a systematic formulation for some type graphene sheets having annular sector, sector shaped or curvilinear side graphene located on a silicone matrix via nonlocal elasticity theory for numerical solution. An eight-node curvilinear element is used for transformation of the governing equation of motion of annular sector graphene from physical region to computational region in conjunctions with the thin plate theory. Silicone matrix is modeled by using the Winkler-Pasternak elastic foundations. The formulation is usefully for different shaped graphene sheets.

Buckling Analysis of Silicon Carbide Nanotubes (SiCNTs)

“…Some of the results which are showing the buckling loads for Clamped-Free, Simple-Simple, Clamped-Simple, Clamped-Clamped boundary conditions are in Figure 4.The elasticity modulus is E=0.62 TPa [1,18], the thickness is t=0.075 nm, the moment of inertia is I=πtR avg 3 . ( R avg =D avg /2).…”

What is The Correct Mechanical Model of Aorta Artery

“…Laminated composite materials have been widely used in aerospace industry, automotive industry and material engineering. Many researches have been published papers aimed to investigate the applications of laminated composite materials to shells, plates, and beams in case of static and dynamic analyses [27][28][29][30][31][32][33][34][35]. General equations of laminated composite materials can be stated as follows…”

Nonlocal Finite Element Formulation for Vibration

“…Applying first the nonlocal elasticity theories to nanotechnology is by Peddieson et al [17] and Sudak [18]. Nanostructures with nonlocal elasticity theory have been studied for different type ( numerical and analytical) solution with contributions continuum mechanics by finite element method [19][20][21][22][23][24][25], by finite difference method [26][27] by differential transform method [28][29][30], by differential quadrature method [31][32][33][34], and by analytical solution [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53]. As shown in Fig.…”