Bending Analysis of Carbon Nanotubes with Small Initial Curvature Embedded on an Elastic Medium Based on Nonlocal Elasticity and Galerkin Method

Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

مقاله 3، دوره 5، شماره 2، آذر 2012، صفحه 27-36   

نوع مقاله: Persian

نویسندگان

A. Arefi¹؛ M. Salimi^{* 2}

¹MSc Student, Department of Mechanical Engineering, Isfahan University of Technology

²Professor, Department of Mechanical Engineering, Isfahan University of Technology

چکیده

Carbon nanotubes have an important role in reinforcing nanocomposits. Many experimental observations have shown that in the most nanostructures such as nanocomposites, carbon nanotubes (CNTs) are often characterized by a certain degree of waviness along their axial direction. In the present paper, the effects of initial curvature, influence of surrounding medium that is modeled as Winkler elastic foundation on behavior of slightly curved carbon nanotubes are investigated. To capture the small size effects, nonlocal elasticity theory is implemented. Bending governing equations are derived using the principle of minimum total potential energy and these nonlinear equations are solved by Newton Raphson method. It is shown that the larger the initial curvature, the higher deflection can occur. Furthermore, neglecting the effect of initial curvature of CNTs can lead to incorrect results.

کلیدواژه‌ها

Bending Analysis؛ Carbon Nanotube with Initial Curvature؛ Nonlocal elasticity theory؛ Newton Raphson Method؛ Galerkin Method

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