Instability Characteristics of Free-Standing Nanowires Based on the Strain Gradient Theory with the Consideration of Casimir Attraction and Surface Effects

• Autorzy: Sedighi H. M. , Ouakad H. M. , Khooran M.

Identyfikatory

DOI

10.1515/mms-2017-0042

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

free-standing cylindrical nanowire; Casimir force; proximity force approximation; Dirichlet asymptotic approximation

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2017
• Tom: Vol. 24, nr 3
• Strony: 489--507
• Opis fizyczny: Bibliogr. 66 poz., rys., wykr., wzory

Twórcy

autor

Sedighi H. M.

• Shahid Chamran University of Ahvaz, Faculty of Engineering, Mechanical Engineering Department, Ahvaz 61357-43337, Iran

autor

Ouakad H. M.

• King Fahd University of Petroleum and Minerals, Department of Mechanical Engineering, Dhahran, 31261, Kingdom of Saudi Arabia

autor

Khooran M.

• Shahid Chamran University of Ahvaz, Faculty of Engineering, Mechanical Engineering Department, Ahvaz 61357-43337, Iran

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Uwagi

EN

Dr. Hassen M. OUAKAD is grateful for the support of his funding body supported by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum and Minerals (KFUPM) (grant number SB151004).

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).