axisymmetric scaled boundary finite element formulation for wave propagation in unbounded layered media

Wave propagation in unbounded layered media with a new formulation of axisymmetric scaled boundary finite element method (axi-sbfem) is derived. dividing the general three-dimensional unbounded domain into a number of independent two-dimensional ones, the problem could be solved by a significant reduction in required storage and computational time. the equations of the corresponding axisymmetric scaled boundary finite element (axi-sbfe) are derived in detail. for an arbitrary excitation frequency, the dynamic stiffness could be solved by a numerical integration method. the dynamic response of layered unbounded media has been verified with the literature. numerical examples indicate the applicability and high accuracy of the new method.