کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5016272 | 1464966 | 2017 | 12 صفحه PDF | دانلود رایگان |
- A model is derived to study the post-buckling of functionally graded nanobeams.
- The model incorporates nonlocal stress and microstructure-dependent strain gradient effects.
- Closed-form solutions for post-buckled configuration and critical buckling force are derived.
- Stiffness-hardening or stiffness-softening effects can be found and depend on the values of small-scaled parameters.
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.
Journal: International Journal of Mechanical Sciences - Volume 120, January 2017, Pages 159-170