Buckling analysis of a bi-directional strain-gradient Euler–Bernoulli nano-beams
Çelik M, Artan R (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Article Number: S021945542050114X
DOI: 10.1142/S021945542050114X
Abstract
Investigated herein is the buckling of Euler–Bernoulli nano-beams made of bi-directional functionally graded material with the method of initial values in the frame of gradient elasticity. Since the transport matrix cannot be calculated analytically, the problem was examined with the help of an approximate transport matrix (matricant). This method can be easily applied with buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on gradient elasticity theory. Basic equations and boundary conditions are derived by using the principle of minimum potential energy. The diagrams and tables of the solutions for different end conditions and various values of the parameters are given and the results are discussed.
Authors with CRIS profile
Involved external institutions
Turkey (TR)How to cite
APA:
Çelik, M., & Artan, R. (2020). Buckling analysis of a bi-directional strain-gradient Euler–Bernoulli nano-beams. International Journal of Structural Stability and Dynamics. https://dx.doi.org/10.1142/S021945542050114X
MLA:
Çelik, Murat, and Reha Artan. "Buckling analysis of a bi-directional strain-gradient Euler–Bernoulli nano-beams." International Journal of Structural Stability and Dynamics (2020).
BibTeX: Download