 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Juneed Yawar, Mohammad Mursaleen, and Mohammad Abbas Bhat, "A Novel Higher-Order Shear and Normal Deformation Theory for Accurate Bending Analysis of Thick Beams," Mech. Solids. 60 (3), 2150-2165 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2150-2165 |
| DOI |
10.1134/S0025654425600060 |
| Title |
A Novel Higher-Order Shear and Normal Deformation Theory for Accurate Bending Analysis of Thick Beams |
| Author(s) |
Juneed Yawar (Department of Mechanical Engineering, National Institute of Technology Srinagar, Jammu and Kashmir, 190006 India, juneedyawar@nitsri.ac.in)
Mohammad Mursaleen (Department of Mechanical Engineering, National Institute of Technology Srinagar, Jammu and Kashmir, 190006 India, mursaleen@nitsri.ac.in)
Mohammad Abbas Bhat (Department of Mechanical Engineering, National Institute of Technology Srinagar, Jammu and Kashmir, 190006 India, mohammadabbasbhat@outlook.com) |
| Abstract |
This paper introduces a novel higher-order shear and normal deformation theory (HOSNDT)
for bending analysis of thick beams, addressing the limitations of existing beam theories and providing
significantly improved accuracy in predicting stress and strain distributions. Unlike conventional
approaches, the proposed HOSNDT model employs a sophisticated fifth-order polynomial function,
meticulously developed and validated through MATLAB simulations. The theory is applied to simply
supported beams constructed from materials with constant elasticity modulus and functionally graded
materials, showcasing its versatility and robustness. Key parameters, including transverse displacement, transverse shear stress, and axial normal stress, are analyzed comprehensively, with boundary
constraints free of traction ensuring the model’s broader applicability across diverse structural configurations. The inadequacies of conventional beam theories in describing the stress-strain distribution
in thick beams are highlighted. The proposed four-variable model addresses these challenges effectively by incorporating both normal and transverse shear deformations, resulting in more precise and
reliable predictions of beam behavior under varied loading conditions. Comprehensive experiments
validate the model’s improved stability and accuracy, demonstrating its potential as a powerful tool for
structural engineering applications. These findings establish a solid foundation for future research on
diverse beam configurations and advanced material combinations, offering promising directions for innovation in structural engineering analysis, optimization, and design. |
| Keywords |
Axial normal stress, Thick beams, Transverse shear stress, Functionally graded materials, Simply supported beams, Beam bending |
| Received |
08 January 2025 | Revised |
21 April 2025 | Accepted |
23 April 2025 |
| Link to Fulltext |
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