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Dynamic analysis of the different-types elliptic cylindrical inclusions subjected to plane SH-wave scattering
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  • Ming Tao,
  • Hao Luo,
  • Chengqing Wu,
  • Wenzhuo Cao,
  • Rui Zhao
Ming Tao
Central South University School of Resources and Safety Engineering

Corresponding Author:mingtao@csu.edu.cn

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Hao Luo
Central South University School of Resources and Safety Engineering
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Chengqing Wu
University of Technology Sydney School of Civil and Environmental Engineering
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Wenzhuo Cao
Imperial College London Department of Earth Science and Engineering
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Rui Zhao
Central South University School of Resources and Safety Engineering
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Abstract

The complex boundary of the elliptical inclusion rendered it difficult to solve the problem of wave scattering. In this study, the steady-state response was analyzed using the wave function expansion method. Subsequently, the Ricker wavelet was employed as the transient disturbance and Fourier transform was used to determine the distribution of transient dynamic stress concentration around the elliptical inclusion. The effects of wave number, elliptical axial ratio and difference in material properties on the distribution of the dynamic stress concentration around the elliptical inclusion were evaluated. The numerical results revealed that the dynamic stress concentration always appeared at both ends of the major axis and minor axis of the elliptical inclusion, and the difference in material properties between the inclusion and medium influenced the variations in the dynamic stress concentration factor with the wave number and elliptical axial ratio.
21 Feb 2022Submitted to Mathematical Methods in the Applied Sciences
22 Feb 2022Submission Checks Completed
22 Feb 2022Assigned to Editor
10 Mar 2022Reviewer(s) Assigned
21 Jul 2022Review(s) Completed, Editorial Evaluation Pending
25 Jul 2022Editorial Decision: Revise Minor
28 Jul 20221st Revision Received
28 Jul 2022Submission Checks Completed
28 Jul 2022Assigned to Editor
28 Jul 2022Reviewer(s) Assigned
03 Aug 2022Review(s) Completed, Editorial Evaluation Pending
08 Aug 2022Editorial Decision: Accept
31 Aug 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8674