NDLI: Dynamic Finite Element Modeling of Carbon Nanotubes Using an Intrinsic Formulation

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Michael, J. Leamy
Copyright Year	2005
Abstract	This article presents an efficient explicit dynamic formulation for modeling curved and twisted Carbon Nanotubes (CNT’s) based on a recently-developed intrinsic beam description (i.e. the dynamic state given by curvatures, strains, and velocities only) [Hodges, 2003] together with a finite element discretization incorporating atomistic potentials. This approach offers several advantages primarily related to the model’s computational efficiency: 1) the resulting partial differential equations governing motion are in first-order form (i.e. have first-order time derivatives only), 2) the system nonlinearities appear at low order, 3) the intrinsic description incorporating curvature allows low-order interpolation functions to describe generally curved and twisted nanotube centerlines, 4) inter-element displacements, slopes, and curvatures are matched at the element boundaries, and 5) finite rotational variables are absent, along with their inherit complexities. In addition, the developed model and finite element discretization are able to capture the nanotube’s dynamic response, without the expense of calculating the dynamic response of individual atoms as per Molecular Dynamics models. Simulation results are presented which illustrate the dynamic response of a typical CNT to axial, bending, and torsional loading. Results from the simulations are compared to similar results available in the literature, and close agreement is documented.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	413
Ending Page	425
Page Count	13
File Format	PDF
ISBN	0791847381
DOI	10.1115/DETC2005-84482
e-ISBN	0791837661
Volume Number	Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
Conference Proceedings	ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2005-09-24
Publisher Place	Long Beach, California, USA
Access Restriction	Subscribed
Subject Keyword	Computational nanomechanics Dynamic Nanomaterial Nanotube Finite element Carbon nanotubes Finite element analysis Modeling Nanotubes
Content Type	Text
Resource Type	Article

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