Buckling analysis of a size-dependent functionally graded nanobeam resting on Pasternak's foundations

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Zenkour Ashraf; EBRAHIMI FARZAD; BARATI MOHAMMAD REZA

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Journal Paper

Paper Information

Journal: International Journal of Nano Dimension Year:2019 | Volume:10 | Issue:2 Page(s): 141-153

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Information Journal Paper

Title

Buckling analysis of a size-dependent functionally graded nanobeam resting on Pasternak's foundations

Author(s)

Zenkour Ashraf | EBRAHIMI FARZAD | BARATI MOHAMMAD REZA | Issue Writer Certificate

Keywords

Buckling

Elastic Foundation

Functionally Graded (FG)

Nanobeam

Nonlocal Elasticity

Third-Order Theory

Abstract

Buckling analysis of a functionally graded (FG) Nanobeam resting on two-parameter Elastic Foundation is presented based on third-order shear deformation beam theory (TOSDBT). The in-plane displacement of TOSDBT has parabolic variation through the beam thickness. Also, TOSDBT accounts for shear deformation effect and verifies stress-free boundary conditions on upper and lower faces of FG Nanobeam. The twoparameter Elastic Foundation model including linear Winkler's springs along with Pasternak's shear layer is in contact with the beam in deformation. Material properties of FG Nanobeam are supposed to vary gradually along the thickness according to both power-law and Mori– Tanaka laws. Small-scale effect of Eringen's Nonlocal Elasticity theory has been considered. Nonlocal equilibrium equations are obtained based on the minimum potential energy principle and solved analytically. The accuracy of current method is examined by comparing current results with the available ones in literature. Effects of foundation parameters, gradient index, nonlocal parameter and slenderness ratio on Buckling behavior of FG Nanobeams are examined.

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References

Nonlocal thermoelasticity theory without energy dissipation for nano-machined beam resonators subjected to various boundary conditions

Cite

APA: Copy

Zenkour, Ashraf, EBRAHIMI, FARZAD, & BARATI, MOHAMMAD REZA. (2019). Buckling analysis of a size-dependent functionally graded nanobeam resting on Pasternak's foundations. INTERNATIONAL JOURNAL OF NANO DIMENSION (IJND), 10(2), 141-153. SID. https://sid.ir/paper/322441/en

Vancouver: Copy

Zenkour Ashraf, EBRAHIMI FARZAD, BARATI MOHAMMAD REZA. Buckling analysis of a size-dependent functionally graded nanobeam resting on Pasternak's foundations. INTERNATIONAL JOURNAL OF NANO DIMENSION (IJND)[Internet]. 2019;10(2):141-153. Available from: https://sid.ir/paper/322441/en

IEEE: Copy

Ashraf Zenkour, FARZAD EBRAHIMI, and MOHAMMAD REZA BARATI, “Buckling analysis of a size-dependent functionally graded nanobeam resting on Pasternak's foundations,” INTERNATIONAL JOURNAL OF NANO DIMENSION (IJND), vol. 10, no. 2, pp. 141–153, 2019, [Online]. Available: https://sid.ir/paper/322441/en

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