Fateme Abadian - Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University Isfahan, Iran
Rahman Soroush - Department of Engineering, Lahijan Branch, Islamic Azad University Lahijan, Iran,
Alireza Yekrangi - Department of Engineering, Ramsar Branch, Islamic Azad University Ramsar, Iran

The Casimir attraction can significantly interfere with the physical response of nanoactuators. The intensity of the Casimir force depends on the geometries of interacting bodies. The present paper is conducted to model the influence of the Casimir attraction on the electrostatic stability of nanoactuators made of the cylindrical conductive nanowire/nanotube. An asymptotic solution, based on the path-integral approach, is employed to investigate the Casimir force. Moreover, the continuum theory is employed to derive the constitutive equation of the actuator. On the other hand, the governing nonlinear equations are solved by three different approaches, and also various perspectives of the issue including comparison with the van der Waals (vdW) force regime, the variation of instability parameters and the effect of geometry are addressed

Casimir attraction, Continuum model, Electromechanical stability, Generalized Differential Quadrature (GDQ), Modified Variation Iteration Method (MVIM)