Reflection and transmission of SH waves at the interface of a V-notch and a piezoelectric/piezomagnetic half-space

• Published in: Journal of engineering mathematics Vol. 148; no. 1
• Main Authors: Zhang, Xi-meng, Qi, Hui
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Bessel functions; Boundaries; Computational Mathematics and Numerical Analysis; Exact solutions; Finite element method; Fredholm equations; Half spaces; Magnetic fields; Mathematical analysis; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Orthogonal functions; Piezoelectricity; Scattering; SH waves; Standing waves; Stress concentration; Superposition (mathematics); Theoretical and Applied Mechanics; Wave reflection; Expansion method; Piezoelectric/piezomagnetic half-space; Graf theorem; V-notch; SH waves; Concentration factors; Fractional Bessel functions

This paper investigates the dynamic behavior of a V-notch with non-trivial boundaries in a piezoelectric/piezomagnetic half-space. We start by considering a SH wave impinging on the piezoelectric/piezomagnetic half-space. Upon employing the superposition principle, an expression for the scattering w...