An investigation of static bending of a bi-directional strain-gradient Euler–Bernoulli nano-beams with the method of initial values

Murat Çelik, Reha Artan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Investigated herein is the static bending of Euler–Bernoulli nano-beams made of bi-directional functionally graded material with the method of initial values in the frame of gradient elasticity. To the best of the researchers’ knowledge, in the literature, there is no study carried out into gradient elasticity theory for bending analysis of bi-directional strain-gradient Euler–Bernoulli (BDSGEB) nanostructures with arbitrary functions. Basic equations and boundary conditions are derived by using the principle of minimum potential energy. The transfer matrix for beams is given analytically. For an initial value problem, the transport matrix is unique. The diagrams of the solutions for different end conditions and various values of the parameters are given and the results are discussed.

Original languageEnglish
Pages (from-to)2921-2929
Number of pages9
JournalMicrosystem Technologies
Volume26
Issue number9
DOIs
Publication statusPublished - 1 Sept 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

Funding

The work reported here is supported by the Alexander von Humboldt Foundation.

FundersFunder number
Alexander von Humboldt-Stiftung

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