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

Mohammad Malikan | Zendy; Shahriar Dastjerdi | Zendy

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

Author(s) -

Mohammad Malikan,

Shahriar Dastjerdi

Publication year - 2018

Publication title -

international journal of engineering and applied sciences

Language(s) - English

Resource type - Journals

eISSN - 1309-7997

pISSN - 1309-0267

DOI - 10.24107/ijeas.420838

Subject(s) - buckling , materials science , shear (geology) , beam (structure) , structural engineering , timoshenko beam theory , basis (linear algebra) , variable (mathematics) , mechanics , mathematics , geometry , physics , mathematical analysis , composite material , engineering

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.

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