Consistent transmitting boundary with continued-fraction absorbing boundary conditions for analysis of soil–structure interaction in a layered half-space

A continued-fraction absorbing boundary condition (CFABC) is combined with a consistent transmitting boundary and applied to an analysis of soil–structure interaction in a layered half-space. In order to be a perfect absorber for in-plane waves with an arbitrary horizontal wavenumber in a layered half-space, it is proposed that the CFABC be used in the form of a 2-layer. A method for determination of parameters of the 2-layers was proposed for evanescent waves as well as propagating waves. Combined with consistent transmitting boundaries, the 2-layers of CFABC are applied to problems of dynamics of rigid strip and circular foundations on a layered half-space. The results demonstrate that the proposed 2-layers of the CFABC can represent a layered half-space accurately in the entire frequency range and absorb both evanescent and propagating P and S waves effectively.