Boundary conditions effect for buckling analysis of porous functionally graded nanobeam
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2020-11-09
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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.