Steady-state dynamic analysis for infinite elements

The model consists of a single infinite element connected to one regular continuum finite element. The model is subjected to a plane wave and a shear wave. The results from this analysis are compared with a reference solution obtained from a model in which the infinite element is replaced by dashpots attached to the regular continuum element at points A and B. The damping coefficient corresponding to a plane wave, $d_p$, is computed as $d_p=\rho c_p$, where $c_p\mathit{ }=\mathit{ }\sqrt{\frac{\lambda +\mathrm{\hspace{0.25em}2}G}{\rho }}$ is the plane wave speed. Similarly, the damping coefficient corresponding to a shear wave, $d_s$, is computed as $d_s=\rho c_s$, where $c_s\mathit{ }=\mathit{ }\sqrt{\frac{G}{\rho }}$ is the shear wave speed.