Atomistic–continuum coupled model for nonlinear analysis of single layer graphene sheets

摘要: Abstract In this paper, atomistic–continuum coupled model for nonlinear flexural response of single layer graphene sheet is presented considering von-Karman geometric nonlinearity and material due to atomic interactions. The strain energy density function at continuum level established by coupling the deformation that through Cauchy–Born rule. Strain curvature dependent tangent in-plane extensional, bending–extension coupling, bending stiffness matrices are derived from constructed Tersoff–Brenner potential. finite element method used discretize with without studied. present results also compared Kirchhoff plate significant differences higher load observed. effects other parameters like number atoms in sheet, boundary conditions on central/maximum deflection investigated. It brought out occurrence bond length exceeding cutoff distance initiates corners CFCC, CFCF, SFSS, SFSF sheets near center SSSS CCCC sheets.