%0 Journal Article
%T Pull-in Instability Analysis of a Nanocantilever Based on the Two-Phase Nonlocal Theory of Elasticity
%J Journal of Applied and Computational Mechanics
%I Shahid Chamran University of Ahvaz
%Z 2383-4536
%A Mikhasev, Gennadi
%A Radi, Enrico
%A Misnik, Vyacheslav
%D 2022
%\ 10/01/2022
%V 8
%N 4
%P 1456-1466
%! Pull-in Instability Analysis of a Nanocantilever Based on the Two-Phase Nonlocal Theory of Elasticity
%K Nano-switch
%K nanocantilever
%K two-phase nonlocal theory
%K intermolecular forces
%K Pull-in instability
%R 10.22055/jacm.2022.40638.3619
%X This paper deals with the pull-in instability of cantilever nano-switches subjected to electrostatic and intermolecular forces in the framework of the two-phase nonlocal theory of elasticity. The problem is governed by a nonlinear integro-differential equation accounting for the external forces and nonlocal effects. Assuming the Helmholtz kernel in the constitutive equation, we reduce the original integro-differential equation to a sixth-order differential one and derive a pair of additional boundary conditions. Aiming to obtain a closed-form solution of the boundary-value problem and to estimate the critical intermolecular forces and pull-in voltage, we approximate the resultant lateral force by a linear or quadratic function of the axial coordinate. The pull-in behavior of a freestanding nanocantilever as well as its instability under application of a critical voltage versus the local model fraction are examined within two models of the load distribution. It is shown that the critical voltages calculated in the framework of the two-phase nonlocal theory of elasticity are in very good agreement with the available data of atomistic simulation.
%U https://jacm.scu.ac.ir/article_17583_d2cad975792bc5f9f1b64b4c7fedc97b.pdf