Analytical Buckling of FG Nanobeams on The Basis of A New One Variable First-Order Shear Deformation Beam Theory

Yıl 2018, Cilt: 10 Sayı: 1, 21 - 34, 28.05.2018

Mohammad Malikan Shahriar Dastjerdi

https://doi.org/10.24107/ijeas.420838

Cited By: 6

Öz

In this work, buckling
analysis of functionally graded (FG) nanobeams based on a new refined beam theory
has been analyzed. The beam is modeled as an elastic beam subjected to
unidirectional compressive loads. To achieve this aim, the new obtained beam
theory has only one variable which lead to one equation similar to Euler beam
theory and also is free of any shear correction factor. The equilibrium
equation has been formulated by the nonlocal theory of Eringen to predict
small-scale effects. The equation has been solved by Navier’s approach by which critical
buckling loads have been obtained for simple boundaries. Finally, to approve
the results of the new beam theory, various beam theories have been compared.

Anahtar Kelimeler

Buckling analysis, FG nanobeams, A new refined beam theory, Nonlocal elasticity theory, Navier’s approach

Kaynakça

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