Analytical study of SH wave scattering by a cylindrical cavity in the two-dimensional and approximately linear inhomogeneous medium

Abstract

Based on the complex function method, shear horizontal wave scattering in the two-dimensional and approximately linear inhomogeneous medium is investigated analytically in this work. A new pair of transformation is proposed to normalize the governing equation of the two-dimensional inhomogeneous medium. Then wave fields and the corresponding stresses are expressed by complex variables. With the help of the boundary condition at the cavity, the undetermined coefficients are determined. By controlling the ratio of two inhomogeneous parameters, the medium can be modeled as two-dimensional inhomogeneous and approximately linear inhomogeneous. Finally, the parametric study presents that wave number and inhomogeneous parameters have significant influences on dynamic stress concentration factor around the cavity in different kinds of inhomogeneous media.

KEYWORDS:

• SH wave scattering
• complex function method
• two-dimensional inhomogeneous
• linear inhomogeneous
• dynamic stress concentration

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [grant number 11872156], National Key Research and Development Program of China [grant number 2017YFC1500801] and the Program for Innovative Research Team in China Earthquake Administration.