Electro-thermo{mechanical nonlinear buckling of Pasternak coupled DWBNNTsbased on nonlocal piezoelasticity theory

Nonlinear buckling of bonded double-walled boron nitride nanotubes (DWBNNTs) under combined electrothermo{ mechanical loadings based on the nonlocal piezoelasticity theory and Euler{Bernoulli beam (EBB) model is presented in this paper. Coupled DWBNNTs are embedded in an elastic medium that is simulated as a Pasternak foundation. Using the Lennard-Jones model, the van der Waals interaction between 2 layers of DWBNNTs is taken into account. Considering the von K arm an geometric nonlinearity, Hamilton s principle, and charge equation, higher order governing equations are derived and solved by di erential quadrature method (DQM). The detailed parametric study is conducted, focusing on the remarkable e ects on the behavior of nonlinear buckling loads. The results indicated that the small-scale parameter, elastic medium, boundary conditions, electric potential, aspect ratio, and di erent vibration phases play an important role in the nonlinear buckling of smart elastically coupled systems. In addition, it is found that the trend of gures has good agreement with those of previous research. The results of this work could be used in the design and manufacture of nano/micro-electro{mechanical systems.