 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| L.N. Liu, B. Zhang, X.X. Wang, and L.J. Li, "The Effect of Initial Stresses on Dispersion Relations of Guided Waves in Functionally Graded Fan-Shaped Cylindrical Structures," Mech. Solids. 59 (4), 2048-2058 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2048-2058 |
| DOI |
10.1134/S0025654424604026 |
| Title |
The Effect of Initial Stresses on Dispersion Relations of Guided Waves in Functionally Graded Fan-Shaped Cylindrical Structures |
| Author(s) |
L.N. Liu (School of Mechanical and Electrical Engineering, Huanghe Jiaotong University, Jiaozuo, 454950 China, lindahnmq0228@126.com)
B. Zhang (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003 China, bozhanghpu@hpu.edu.cn)
X.X. Wang (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003 China, wxx2663965124@163.com)
L.J. Li (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003 China, llj@hpu.edu.cn) |
| Abstract |
Because of mechanical loads, thermal fields, or the limitation of the manufacturing technology, initial stresses in functionally graded (FGM) structures are inevitable in various engineering
applications. In the context of “Mechanics of Incremental Deformations”, the effect of the initial stresses in the axial direction on dispersion relations of guided waves in FGM fan-shaped cylindrical
structures is investigated by exploiting the double orthogonal polynomial series method. The influence of the variation in the graded function and cross-section size on the effect of initial stresses is analyzed. Results indicate that the effect of the initial stretch and compressive stresses on dispersion
curves is usually (but not always) opposite. The variation in graded function and cross-section size significantly influences the effect of initial stresses on the dispersion curves, and its influence on different
modes is also distinct. The obtained results provide theoretical guidance on guided wave non-destructive testing for FGM fan-shaped cylindrical structures. |
| Keywords |
functionally graded material, mechanics of incremental deformations, fan-shaped, initial stress, dispersion relation |
| Received |
30 May 2024 | Revised |
05 August 2024 | Accepted |
26 August 2024 |
| Link to Fulltext |
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