Anti-plane dynamic analysis of a quarter-space piezoelectric material with an elliptic notch in the corner

Abstract

The aim of this article is to investigate the scattering of anti-plane shear waves by elliptic notches in a quarter-space piezoelectric material. The wave field and electric field expressions in this region are derived using the wave function expansion method. An infinite linear system of equations is established by applying the boundary conditions of no traction and no potential. The results obtained are accurate due to the good convergence of the wave function. The displacement amplitude and dynamic stress in the vicinity of the elliptic arc notch under different characteristic parameters and different wave numbers are computed numerically.

Keywords:

• Anti-plane shear waves
• dynamic analysis
• elliptical arc notch
• Mathieu function
• piezoelectric materials

Additional information

Funding

The work presented in this paper is supported by the Fundamental Research Funds for the Central Universities (3072020CF0206).