Exact solution for nonlocal axial buckling of linear carbon nanotube hetero-junctions

چکیده مقاله

CNT hetero-junctions offer the possibility of being used in micro-electromechanical systems and nano-electromechanical systems. However, in the present work, nonlocal axial buckling analysis of linear CNT hetero-junctions based on Euler– Bernoulli beam (EBB) model is investigated. In order to mathematically model a linear CNT hetero-junction, a CNTwith two segments is considered. The constitutive equations are derived based on the Eringen’s theory for various boundary conditions, namely clamped–clamped (C–C), clamped–pinned (C–P) and pinned–pinned (P–P). An analytical approach is applied to obtain the dimensionless buckling load of the CNT hetero-junctions. A detailed parametric study is conducted to elucidate the influences of the small-scale coefficient, homogeneity parameter, boundary conditions and CNT length of each segment on the axial buckling of the linear CNT hetero-junctions. The results indicate that the length of each segment and homogeneity parameter have a significant effect on the buckling load of the CNT hetero-junctions and should therefore be considered in its optimum design. Furthermore, the results are in good agreement with the previous researches.