Static Buckling Analysis of FG Sandwich Nanobeams
Springer Science and Business Media LLC - Trang 1-26 - 2023
Tóm tắt
This paper proposes a third-order shear deformation theory to study the static buckling of FG sandwich nanobeams, where the core layer of the beam has hollows in the z direction, and the two sandwich types mentioned in this paper are the hardcore and softcore types. Based on nonlocal theory, the size effect is considered, and two different solutions, as an exact solution and an approximate solution for calculating the critical buckling load of nanobeams, are presented. The results show the advantage of calculating for beams with many different boundary conditions, which is completely different from the conventional analytical solution (usually only for beams subjected to the simply supported boundary conditions), this is also the new point of this work. This work uses the weighted average operator and approache to come up with an expression for figuring out the critical buckling load of FG sandwich nanobeams as an approximation. The data has shown that both solutions in this work are reliable compared to published works. At the same time, this work also shows that, depending on the material distribution of the layers and boundary conditions, one can find the appropriate core layer thickness for the maximum load-carrying capacity of the nanobeam. The static buckling response of sandwich FGM nanobeams with a homogeneous and porous core layer is studied. The the weighted average operator and analytical approaches, in addition to the novel shear deformation theory, were used to perform the investigation, which is something new that can be found in this article. Both of the computation techniques that are presented in this paper are quite flexible, which enables them to be used for the purpose of assessing beams under a wide range of boundary conditions.
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