Scattering of SH-waves by oblique semi-elliptical notches in half space

DOI10.1080/17455030.2020.1859164zbMath1506.74163OpenAlexW3111453471MaRDI QIDQ5046768

Fuqing Chu, Runjie Yang, Jing Guo, Yang Zhang, Hui Qi

Publication date: 9 November 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2020.1859164

zbMATH Keywords

elastic wavedynamic stress concentration factorMathieu function addition theoremmulti-elliptical coordinate systemoblique semi-elliptical notch

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Wave scattering in solid mechanics (74J20)

Uses Software

• Algorithm 804

Cites Work

• Dynamic anti-plane analysis for two symmetrically interfacial cracks near circular cavity in piezoelectric bi-materials
• A note on addition theorems for Mathieu functions
• On the null and nonzero fields for true and spurious eigenvalues of annular and confocal elliptical membranes
• Transverse magnetic scattering by parallel conducting elliptic cylinders
• Electromagnetic scattering by two parallel dielectric elliptic cylinders
• A Complete Method for the Computations of Mathieu Characteristic Numbers of Integer Orders
• The scattering of steady-state SH waves in a bi-material half space with multiple cylindrical elastic inclusions
• A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics

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