Abstract
The wave propagation in the unbounded domain is a hottest topic in engineering research. Based on the scaled boundary finite element method, an efficient and accuracy artificial boundary condition is proposed for the wave propagation in half space, and the shape of the artificial boundary can be arbitrary, such as ellipse and rectangle. A new continued fraction for solving the dynamic stiffness is derived, and by introducing auxiliary variables, it can be transformed into time domain conveniently. The dynamic stiffness of the artificial boundary condition in frequency domain in good agreement with the exact solution in high frequencies. The circle and ellipse artificial boundary condition is identical with the reference solution in time domain.
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