Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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Issued 6 times a year
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IssuesArchive of Issues2025-3pp.1915-1942

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Xi-meng Zhang, Hui Qi, Jun-hua Chen, Shu-qin Zhang, and Ying Liu, "Reflection and Transmission of SH Waves in a Piezomagnetic Right-Angle Plane Featuring a Circular Cavity and Irregular Boundaries: a Boundary Element Method Analysis," Mech. Solids. 60 (3), 1915-1942 (2025)
Year 2025 Volume 60 Number 3 Pages 1915-1942
DOI 10.1134/S0025654424607146
Title Reflection and Transmission of SH Waves in a Piezomagnetic Right-Angle Plane Featuring a Circular Cavity and Irregular Boundaries: a Boundary Element Method Analysis
Author(s) Xi-meng Zhang (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, zhangximeng@hrbeu.edu.cn)
Hui Qi (College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, Heilongjiang, 150001 China, qihui205@sina.com)
Jun-hua Chen (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, cjhnjust@163.com)
Shu-qin Zhang (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, zhangshuqin@czu.cn)
Ying Liu (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, liuying@czu.cn)
Abstract In this study, we analyze a piezomagnetic right-angle plane featuring a circular cavity and irregular boundaries utilizing the boundary element method. External loads in the form of SH waves and line sources acting on the piezomagnetic right-angle plane are taken into account. The efficacy of the boundary element method is demonstrated through two distinct illustrative scenarios. First, we assess the dynamic characteristics in the absence of line source loads on the irregular boundary, employing the image method and Graf addition theorem in the first scenario. Subsequently, we introduce Green’s identities and solve for the Green’s function in infinite three-dimensional space. In the second scenario, we explore the dynamic characteristics when irregular boundaries are subjected to line source loads using the boundary element method. Our findings elucidate the impact on the dynamic stress concentration factor and magnetic field intensity concentration factor under suitable conditions. Additionally, we compare analytical solutions with finite element solutions to corroborate the accuracy of the conclusions presented in this study.
Keywords Piezomagnetic right-angle plane, Irregular boundaries, Graf addition theorem, Boundary element method, SH wave, Magnetic field intensity concentration factor (MFICF), Dynamic stress concentration factor (DSCF)
Received 20 December 2024Revised 15 March 2025Accepted 19 April 2025
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