Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 120, Issue -, Pages 159-170Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2016.11.025
Keywords
Functionally graded material; Buckling; Post-buckling; Nonlocal strain gradient theory; Strain gradient theory; Nonlocal elasticity theory
Categories
Funding
- National Natural Science Foundation of China [51605172, 51375184]
- Natural Science Foundation of Hubei Province [2016CFB191]
- Fundamental Research Funds for the Central Universities [2015MS014]
Ask authors/readers for more resources
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 Karman 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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available