A Modified Couple Stress Theory for Postbuckling Analysis of Timoshenko and Reddy-Levinson Single-Walled Carbon Nanobeams

نویسنده:
, , ,
سال
: 2015
چکیده: The novelty of this study is presentation of an exact solution for prediction of postbuckling

behavior of shear deformable micro- and nano-scale beams based on modified couple

stress theory and using principle of minimum potential energy. Timoshenko and Reddy-

Levinson beam theories are applied to consider the shear deformation effect and Von

Karman nonlinear kinematics is used to describe the nonlinear behavior of the

postbuckling, and the Poisson's effect is also considered in stress-strain relation. Also, the

size effect is exposed by introducing a material length scale parameter. Finally, the

influences of shear deformation, Poisson's ratio and variations of length and thickness are

investigated. The results indicate that the classical theory exaggerates the postbuckling

amplitude of the nanobeam and overstates the effect of shear deformation on the

postbuckling response of the nanobeam.
کلیدواژه(گان): Postbuckling,Single-walled carbon nanobeam,Timoshenko and Reddy-

Levinson beam theories
کالکشن :
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