Nonlocal continuum theories of beams for the analysis of carbon nanotubes Academic Article

abstract

• The equations of motion of the EulerBernoulli and Timoshenko beam theories are reformulated using the nonlocal differential constitutive relations of Eringen [International Journal of Engineering Science10, 116 (1972)]. The equations of motion are then used to evaluate the static bending, vibration, and buckling responses of beams with various boundary conditions. Numerical results are presented using the nonlocal theories to bring out the effect of the nonlocal behavior on deflections, buckling loads, and natural frequencies of carbon nanotubes.

authors

• Reddy, Junuthula

published proceedings

• JOURNAL OF APPLIED PHYSICS

author list (cited authors)

• Reddy, J. N., & Pang, S. D.

citation count

• 570

publication date

• January 2008

publisher

• AIP Publishing  Publisher

keywords

• 40 Engineering
• 4001 Aerospace Engineering

Digital Object Identifier (DOI)

• 10.1063/1.2833431

start page

• 023511

volume

• 103

issue

• 2

URL

• http://dx.doi.org/10.1063/1.2833431