Boundary conditions effect for buckling analysis of porous functionally graded nanobeam
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Date
2021
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Abstract
This paper is concerned with the buckling behavior of 2D and quasi-3D problem of functionally graded nanobeam
founded on high order shear deformation beams theory and made by two different types of porous distribution materials
in Nano- and micro-scales. The used Quasi-3D formulation takes into account the transverse shear effect and uses only
three variables. Both formulations do not include the correction factor that is required in the first shear deformation
theory proposed by Timoshenko. Governing equations are derived using the principle of virtual work. Analytical
resolutions for buckling of FG nanobeam are introduced under tow different boundary conditions, and the results
obtained are compared to those proposed in literatures.