TY - JOUR N2 - Size-dependent dynamic instability of cylindrical nanowires incorporating the effects of Casimir attraction and surface energy is presented in this research work. To develop the attractive intermolecular force between the nanowire and its substrate, the proximity force approximation (PFA) for small separations, and the Dirichlet asymptotic approximation for large separations with a cylinder-plate geometry are employed. A nonlinear governing equation of motion for free-standing nanowires – based on the Gurtin-Murdoch model – and a strain gradient elasticity theory are derived. To overcome the complexity of the nonlinear problem in hand, a Garlerkin-based projection procedure for construction of a reduced-order model is implemented as a way of discretization of the governing differential equation. The effects of length-scale parameter, surface energy and vacuum fluctuations on the dynamic instability threshold and adhesion of nanowires are examined. It is demonstrated that in the absence of any actuation, a nanowire might behave unstably, due to the Casimir induction force. L1 - http://www.journals.pan.pl/Content/106315/PDF/10.1515-2017-0042%20paper%2004.pdf L2 - http://www.journals.pan.pl/Content/106315 PY - 2017 IS - No 3 EP - 489–507 DO - 10.1515/mms-2017-0042 KW - free-standing cylindrical nanowire KW - Casimir force KW - proximity force approximation KW - Dirichlet asymptotic approximation A1 - Sedighi, Hamid M. A1 - Ouakad, Hassen M. A1 - Khooran, Moosa PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation VL - vol. 24 DA - 2017.09.30 T1 - Instability Characteristics of Free-Standing Nanowires Based on the Strain Gradient Theory with the Consideration of Casimir Attraction and Surface Effects SP - 489–507 UR - http://www.journals.pan.pl/dlibra/publication/edition/106315 T2 - Metrology and Measurement Systems ER -