MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium

Büşra Uzun

doi:10.59313/jsr-a.1619345

MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium

Abstract

A survey of the literature shows the absence of a microstructure-dependent finite element model that accounts for the vibration of short-fiber-reinforced microbeams with modified couple stress theory, rotary inertia, and Pasternak elastic medium. The present work is directed toward filling this gap in the literature. In the present study, the longitudinal and transverse Young’s moduli of the short-fiber-reinforced material are modeled using the Halpin-Tsai equations. Additionally, the rule of mixture is considered for the calculation of the short-fiber-reinforced material mass density. Using Rayleigh beam theory, modified couple stress theory and finite element methodology, the research investigates the various effects such as the fiber Young's modulus, fiber mass density, fiber volume fraction, material length scale parameter and elastic medium stiffnesses. In this study, fibers are assumed to be randomly distributed in the matrix since fiber orientation in small-scale composite structures is difficult and even impossible in some cases. The results of the analysis presented in this study are expected to be helpful in the design of nano-electro-mechanical systems and micro-electro-mechanical systems.

Keywords

References

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Details

Primary Language

English

Subjects

Granular Mechanics

Journal Section

Research Article

Authors

Büşra Uzun ^*
0000-0002-7636-7170
Türkiye

Publication Date

September 30, 2025

Submission Date

January 17, 2025

Acceptance Date

March 20, 2025

Published in Issue

Year 2025 Number: 062

DOI

https://doi.org/10.59313/jsr-a.1619345

IZ

https://izlik.org/JA22KB95YA

Cite

RIS / Bibtex

APA

Uzun, B. (2025). MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium. Journal of Scientific Reports-A, 062, 125-147. https://doi.org/10.59313/jsr-a.1619345

AMA

1.Uzun B. MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium. JSR-A. 2025;(062):125-147. doi:10.59313/jsr-a.1619345

Chicago

Uzun, Büşra. 2025. “MCST-Based Finite Element Solution for Short-Fiber-Reinforced Microbeam Vibration With the Effects of Rotary Inertia and Pasternak Medium”. Journal of Scientific Reports-A, nos. 062: 125-47. https://doi.org/10.59313/jsr-a.1619345.

EndNote

Uzun B (September 1, 2025) MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium. Journal of Scientific Reports-A 062 125–147.

IEEE

[1]B. Uzun, “MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium”, JSR-A, no. 062, pp. 125–147, Sept. 2025, doi: 10.59313/jsr-a.1619345.

ISNAD

Uzun, Büşra. “MCST-Based Finite Element Solution for Short-Fiber-Reinforced Microbeam Vibration With the Effects of Rotary Inertia and Pasternak Medium”. Journal of Scientific Reports-A. 062 (September 1, 2025): 125-147. https://doi.org/10.59313/jsr-a.1619345.

JAMA

1.Uzun B. MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium. JSR-A. 2025;:125–147.

MLA

Uzun, Büşra. “MCST-Based Finite Element Solution for Short-Fiber-Reinforced Microbeam Vibration With the Effects of Rotary Inertia and Pasternak Medium”. Journal of Scientific Reports-A, no. 062, Sept. 2025, pp. 125-47, doi:10.59313/jsr-a.1619345.

Vancouver

1.Büşra Uzun. MCST-based finite element solution for short-fiber-reinforced microbeam vibration with the effects of rotary inertia and Pasternak medium. JSR-A. 2025 Sep. 1;(062):125-47. doi:10.59313/jsr-a.1619345