Transmitting boundary for transient analysis of wave propagation in layered media formulated based on acceleration unit-impulse response

An efficient transmitting boundary (TB) is developed for transient analysis of scalar wave as well as vector wave motion in layered media of constant depth, it is suited for both waves propagating out to infinity and for evanescent waves. The TB is formulated based on the acceleration unit-impulse response, such that singular term does not present, which results in simplifying the solution. The scaled boundary finite element method (SBFEM) is employed for the derivation. For numerical implementation, the very efficient scheme proposed by Radmanović and Katz is applied for the solution of the acceleration unit-impulse response matrix and the evaluation of interaction forces, significant reduction of computational effort can be achieved. In comparison with the various schemes of TBs available in the literature, the proposed approach has following advantages: it is accurate, the computational cost is less and stability of the solution can be ensured. The extension to the case of orthogonal anisotropic media can be performed without extra effort.