Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus

DOI10.1007/s11012-021-01313-7zbMath1525.74109OpenAlexW3128385900MaRDI QIDQ6172560

Jinlai Bian, Menghan Sun, Guan-xi-xi Jiang, Zai-lin Yang, Unnamed Author

Publication date: 19 July 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-021-01313-7

zbMATH Keywords

stress concentrationshear modulusconformal mapping methodreference wave number

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Wave scattering in solid mechanics (74J20) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

• Seismic wave propagation in non-homogeneous elastic media by boundary elements
• Applications of the method of complex functions to dynamic stress concentrations
• A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation
• Antiplane scattering of SH waves by a circular cavity in an exponentially graded half space
• Wave function expansion method for the scattering of \textit{SH} waves by two symmetrical circular cavities in two bonded exponentially graded half spaces
• In-plane vibrations of soil deposits with variable shear modulus: I. Surface waves
• Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave

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