Abstract
In this study, an isogeometric finite element approach (IGA) based on non-uniform rational B-splines (NURBS) basis function in combination with the first order shear deformation plate theory (FSDT) for buckling analysis of graphene sheet under uniaxial and biaxial compressions is investigated. To study the small scale effects on buckling analysis, the nonlocal elasticity theory is applied. Nonlocal governing equations of motion for the single-layered graphene sheet are derived from the principle of virtual displacements. The properties of graphene sheet are considered as isotropic and orthotropic plates. Numerical results of critical buckling loads are presented, and compared with other available results to reveal the efficiency and accuracy of the present IGA approach. At the end some numerical results are presented to study the effects of nonlocal parameter, different boundary conditions, different material properties, side length and aspect ratio on critical buckling loads.
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