Research Article

The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory

Volume: 18 Number: 2 October 13, 2026

The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory

Abstract

This paper examines the static bending behavior of functionally graded (FG) nanobeams using a thorough analysis within the context of trigonometric shear deformation theory. A mathematical model of the FG nanobeam has been developed, in which the power-law distribution of the material characteristics varies continuously through the thickness direction. Size-dependency at the nanoscale has been explained by Eringen's nonlocal elasticity theory. Unlike traditional beam theories, no shear correction factor is required since the fundamental equation of the FG nanobeam is developed using the trigonometric function that reflects the non-parabolic shear stress distribution throughout the thickness. The governing differential equations of the static bending of the FG nanobeam have been solved using the Navier solution method under simply supported boundary conditions. The correctness and efficiency of the presented study are demonstrated by the comparison studies carried out. The obtained results reveal in detail the effects of the nonlocal parameter, power-law index, and length-to-thickness ratio on the static bending of the FG nanobeam.

Keywords

References

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Details

Primary Language

English

Subjects

Solid Mechanics

Journal Section

Research Article

Publication Date

October 13, 2026

Submission Date

May 18, 2026

Acceptance Date

July 14, 2026

Published in Issue

Year 2026 Volume: 18 Number: 2

APA
İkinci, B., & Avcar, M. (2026). The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory. International Journal of Engineering and Applied Sciences, 18(2). https://doi.org/10.24107/ijeas.1954060
AMA
1.İkinci B, Avcar M. The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory. IJEAS. 2026;18(2). doi:10.24107/ijeas.1954060
Chicago
İkinci, Burak, and Mehmet Avcar. 2026. “The Static Bending Analysis of Functionally Graded Nanobeams Using Trigonometric Shear Deformation Theory”. International Journal of Engineering and Applied Sciences 18 (2). https://doi.org/10.24107/ijeas.1954060.
EndNote
İkinci B, Avcar M (October 1, 2026) The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory. International Journal of Engineering and Applied Sciences 18 2
IEEE
[1]B. İkinci and M. Avcar, “The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory”, IJEAS, vol. 18, no. 2, Oct. 2026, doi: 10.24107/ijeas.1954060.
ISNAD
İkinci, Burak - Avcar, Mehmet. “The Static Bending Analysis of Functionally Graded Nanobeams Using Trigonometric Shear Deformation Theory”. International Journal of Engineering and Applied Sciences 18/2 (October 1, 2026). https://doi.org/10.24107/ijeas.1954060.
JAMA
1.İkinci B, Avcar M. The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory. IJEAS. 2026;18. doi:10.24107/ijeas.1954060.
MLA
İkinci, Burak, and Mehmet Avcar. “The Static Bending Analysis of Functionally Graded Nanobeams Using Trigonometric Shear Deformation Theory”. International Journal of Engineering and Applied Sciences, vol. 18, no. 2, Oct. 2026, doi:10.24107/ijeas.1954060.
Vancouver
1.Burak İkinci, Mehmet Avcar. The Static Bending Analysis of Functionally Graded Nanobeams using Trigonometric Shear Deformation Theory. IJEAS. 2026 Oct. 1;18(2). doi:10.24107/ijeas.1954060

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