 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| Wang Huimin, Yang Jie, and Yuan Shengxi, "Dynamical Inverse Plane Response of Circular Inclusions in a Strip Domain under Line Source Excitation," Mech. Solids. 60 (6), 4687-4699 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4687-4699 |
| DOI |
10.1134/S0025654425601995 |
| Title |
Dynamical Inverse Plane Response of Circular Inclusions in a Strip Domain under Line Source Excitation |
| Author(s) |
Wang Huimin (School of Mechanical Engineering, Shanghai Dianji University, Shanghai, 201306 China)
Yang Jie (School of Mechanical Engineering, Shanghai Dianji University, Shanghai, 201306 China, yangj@sdju.edu.cn)
Yuan Shengxi (School of Mechanical Engineering, Shanghai Dianji University, Shanghai, 201306 China) |
| Abstract |
The dynamic anti-plane response of a circular inclusion embedded in a strip domain under
line source excitation is investigated using the complex variable method and Green’s function
approach. First, the total wave field with undetermined coefficients is constructed by employing the
method of infinite mirror images. Then, a system of equations is formulated based on the continuity
conditions at the boundary of the circular inclusion, allowing for the determination of the unknown
coefficients and the derivation of the complete wave field within the strip domain. Finally, numerical
examples are presented to analyze the dynamic stress concentration around the circular inclusion. The
results demonstrate that low-frequency excitation significantly amplifies the dynamic stress concentration in the vicinity of the inclusion. Moreover, this amplification effect becomes more pronounced
with increasing contrast in wave numbers between the inclusion and the matrix. |
| Keywords |
strip domain, line source load, circular inclusion, infinity mirror image, dynamic stress concentration factor (DSCF) |
| Received |
25 April 2025 | Revised |
30 July 2025 | Accepted |
06 August 2025 |
| Link to Fulltext |
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