Thermal Buckling of Carbon Nanocones Based on the Nonlocal Shell Model

On the basis of a nonlocal shell model, the thermal buckling analysis of carbon nanocones (CNCs) is presented. Using Donnell’s strain–displacement relations and considering Eringen’s nonlocal elasticity theory, the stability equations of CNCs are derived. Employing the generalized differential quadrature method and trigonometric expansion in axial and circumferential directions of CNC, the stability equations are solved. The mechanical properties of CNCs such as Young’s modulus and Poisson’s ratio are dependent on the apex angle. To show the accuracy of the present study, some numerical results are compared with those reported in the literature. Furthermore, the effects of nonlocal parameter, length-to-radius ratio, boundary conditions and apex angle on the thermal buckling load of CNCs are examined. The results indicate that the thermal buckling load decreases by increasing the nonlocal parameter and apex angle.