Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2023-5pp.1878-1893

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M.H. Ghazwani, "New Enriched Beam Element for Static Bending Analysis of Functionally Graded Porous Beams Resting on Elastic Foundations," Mech. Solids. 58 (5), 1878-1893 (2023)
Year 2023 Volume 58 Number 5 Pages 1878-1893
DOI 10.3103/S0025654423600885
Title New Enriched Beam Element for Static Bending Analysis of Functionally Graded Porous Beams Resting on Elastic Foundations
Author(s) M.H. Ghazwani (Department of Mechanical Engineering, Jazan University, P. O. Box 114, Jazan, 45142 Saudi Arabia, ghazwani@jazanu.edu.sa, ghazwani.mh@gmail.com)
Abstract This paper presents a novel approach for analyzing functionally graded beams with porosity on elastic foundations. A new first-order shear mixed beam element is proposed, incorporating enriched transverse shear stiffness and parabolic stress distributions. The element avoids shear locking and demonstrates high convergence and accuracy. Compared to existing models, the proposed beam element convergence with only one to two elements, so it provides a reliable numerical tool for analyzing both homogeneous and functionally graded beams. The study investigates the influence of elastic foundations and porosity, offering benchmark solutions for future research. The proposed element finds applications in civil, mechanical, and aerospace engineering, enabling efficient analysis and optimization of structural systems under complex loading. It also holds potential for vibration and buckling analysis, enhancing structural design and stability.
Keywords first-order shear deformation theory, functionally graded materials, bending analysis, elastic foundation, finite element method
Received 20 May 2023Revised 22 July 2023Accepted 10 August 2023
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