Abstract
The time-domain boundary integral equation method is applied to the transient analysis of 3-D cavities and inclusions of arbitrary shape and connectivity. In the numerical implementation, the convolution integrals with respect to time are evaluated analytically and the spatial integrations can be performed independent of the time step number. This implementation leads to an efficient time-stepping algorithm. The methods to evaluate the free term and the singular integrals at an arbitrary edge or corner point are also presented. Some numerical examples dealing with scattering of elastic waves in 3-D infinite and half spaces are presented. The accuracy, versatility and efficiency of the present analysis are established.
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