Dynamic stress analysis of scattering by a circular cavity in a radially inhomogeneous unbounded space under SH waves

Abstract

Abstract The density of a radially inhomogeneous unbounded space is derived as a function form. Harmonic dynamics stress of the radially inhomogeneous medium with a circular cavity is investigated by the complex variable function method. The governing equation under incident SH waves in the radially inhomogeneous unbounded medium is expressed as a Helmholtz equation with a variable coefficient. It is equivalently transformed into a standard Helmholtz equation by the conformal transformation method. Then, the stress fields in the radially inhomogeneous medium can be proposed. The results indicate that the changes in density parameter of the medium and wave number further affect the dynamic stress concentration factor around the circular cavity.