Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
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IssuesArchive of Issues2025-3pp.1738-1760

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Murat Akpınar, Büşra Uzun, Hayrullah Gün Kadıoğlu, and Mustafa Özgür Yaylı, "Dynamics of a Short-Fiber-Reinforced Nanorod via Hardening Nonlocal Approach," Mech. Solids. 60 (3), 1738-1760 (2025)
Year 2025 Volume 60 Number 3 Pages 1738-1760
DOI 10.1134/S0025654425600333
Title Dynamics of a Short-Fiber-Reinforced Nanorod via Hardening Nonlocal Approach
Author(s) Murat Akpınar (Bursa Uludag University, Engineering Faculty, Department of Civil Engineering, Bursa, 16059 Turkey, muratakpinar@uludag.edu.tr)
Büşra Uzun (Bursa Uludag University, Engineering Faculty, Department of Civil Engineering, Bursa, 16059 Turkey, buzun@uludag.edu.tr)
Hayrullah Gün Kadıoğlu (İstanbul Arel University, Technical Sciences Vocational School, Department of Construction, İstanbul, 34537 Turkey, hayrullahgunkadioglu@arel.edu.tr)
Mustafa Özgür Yaylı (Bursa Uludag University, Engineering Faculty, Department of Civil Engineering, Bursa, 16059 Turkey, ozguryayli@uludag.edu.tr)
Abstract In this study, the axial vibration analysis of short-fiber-reinforced nanorods is conducted using a newly developed higher-order elasticity theory that incorporates a strengthening effect due to scale effects. First, the problem is defined by deriving the equations of motion for the randomly short-fiber-reinforced nanorod. Then, the Fourier sine series of the displacement function is chosen to solve the problem, problem and the higher-order derivatives of the series are obtained using Stokes’ transformation. Finally, by including boundary conditions in the problem, the most general solution is derived in which the frequencies of the randomly short-fiber-reinforced nanorod can be obtained under elastic boundary conditions. The results are presented in tables and figures.
Keywords Short-fiber-reinforcement, Nanorod, Hardening nonlocal approach, Axial vibration, Stokes' transformation
Received 21 January 2025Revised 09 April 2025Accepted 10 April 2025
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