2021 Volume 77 Issue 2 Pages I_137-I_143
In this study, a harmonic balance-boundary element method (HB-BEM) is extended to three-dimensional scattering problems by a closed crack. The HB-BEM is a numerical method which deals with steady-state wave scattering by a crack with contact acoustic nonlinearity. In the conventional study, the two-dimensional analysis has been carried out using HB-BEM. However, three-dimensional effects should be taken into account for realistic modeling. Boundary conditions which model clapping and rubbing motions on crack faces are extended to the three-dimension. A penny-shaped crack subjected to plane longitudinal wave or transverse wave is simulated as a numerical example. The validity of the proposed method is demonstrated by comparing the present numerical results to the ones obtained by the conventional time-domain method.
