Back to Search
Start Over
Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects.
- Source :
-
International Journal of Mechanical Sciences . Jan2017, Vol. 120, p159-170. 12p. - Publication Year :
- 2017
-
Abstract
- On the basis of the nonlocal strain gradient theory, a size-dependent Euler–Bernoulli beam model is formulated and devoted to investigating the scaling effect on the post-buckling behaviors of functionally graded (FG) nanobeams with the von Kármán geometric nonlinearity. The developed beam model can incorporate the scaling effect of both nonlocal long-range force and microstructure-dependent strain mechanism. To simplify the redundancy of the governing equation and derive the closed-form solutions, a physical neutral surface is applied for removing the bending-stretching coupling due to geometric nonlinearity and the coupling rigidity between the extensional and bending rigidities of the though-thickness FG material. The closed-form solutions for the post-buckled configuration and the critical buckling force (CBF) are deduced in the case of hinged-hinged boundary conditions. The effects of scaling parameters and material property variation on the post-buckled configuration and the CBF are investigated in detail. It is found that the stiffness-hardening or stiffness-softening effect is dependent of the values of scaling parameters. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207403
- Volume :
- 120
- Database :
- Academic Search Index
- Journal :
- International Journal of Mechanical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 121133735
- Full Text :
- https://doi.org/10.1016/j.ijmecsci.2016.11.025