TY - GEN
T1 - Scattering of SH Waves by a Non-Symmetrical V-Shaped Canyon with a Shallow Cavity in Anisotropic Medium
AU - Sun, Yingchao
AU - Li, Yuliang
AU - Suo, Tao
AU - Sheng, Yongmin
AU - Yang, Zailin
N1 - Publisher Copyright:
© 2025 IEEE.
PY - 2025
Y1 - 2025
N2 - Both surface motion and hole stress concentration have always been concerned in anisotropic medium. In this paper, a theoretical approach is used to study the scattering problem of circular holes under a non-symmetrical V-shaped canyon. Based on the complex function, multi-polar coordinate method, the mapping function, the symmetric method and region-matching technique, algebraic equations are established at auxiliary boundary and free boundary conditions in complex domain. Among them, the mapping function that anisotropic medium to homogeneous medium is used, and the symmetric method that meet the zero-stress boundary conditions in the space of homogeneous medium mapping is used. Then the least square method is used instead of the Fourier expansion method to solve the undetermined coefficient of the algebraic equations by discrete boundary. Finally the scattering characteristics of the wave are discussed in the frequency and time domains by numerical results.
AB - Both surface motion and hole stress concentration have always been concerned in anisotropic medium. In this paper, a theoretical approach is used to study the scattering problem of circular holes under a non-symmetrical V-shaped canyon. Based on the complex function, multi-polar coordinate method, the mapping function, the symmetric method and region-matching technique, algebraic equations are established at auxiliary boundary and free boundary conditions in complex domain. Among them, the mapping function that anisotropic medium to homogeneous medium is used, and the symmetric method that meet the zero-stress boundary conditions in the space of homogeneous medium mapping is used. Then the least square method is used instead of the Fourier expansion method to solve the undetermined coefficient of the algebraic equations by discrete boundary. Finally the scattering characteristics of the wave are discussed in the frequency and time domains by numerical results.
KW - Anisotropic medium
KW - Least square method
KW - Mapping function
KW - Region-matching technique
KW - SH wave
UR - https://www.scopus.com/pages/publications/105022006455
U2 - 10.1109/SPAWDA68082.2025.11203338
DO - 10.1109/SPAWDA68082.2025.11203338
M3 - 会议稿件
AN - SCOPUS:105022006455
T3 - Proceedings of the 2025 19th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, SPAWDA 2025
SP - 246
EP - 250
BT - Proceedings of the 2025 19th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, SPAWDA 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 19th National Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, SPAWDA 2025
Y2 - 21 July 2025 through 24 July 2025
ER -