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The problem of interaction of an impact wave with a plane rigid inclusion of given mass in a 3-D infinite elastic solid is considered by the time–domain boundary integral equations method. Perfect bonding is assumed between the elastic matrix and the moving inclusion. The time-stepping/collocation approach for the discretization of equations, which takes into account the structure of the solution at the edge of the inhomogeneity, is applied. Under normal incidence of an elastic wave on a circular disk-shaped inclusion its dynamic translation and the parameters of the dynamic stress concentration for different inclusion masses and profiles of the generating wave have been computed. [Copyright &y& Elsevier]

To solve scattering problems with multi-transmitting boundary, we present an improved wave motion input method based on the idea that error caused by the difference between incident wave field used in calculation and waves propagating in finite element grids can be eliminated to suppress drift instability. In this method, a calculation scheme is proposed to obtain the numerical solution of incident wave field, which establishes boundary region models with the multi-transmitting boundary. Numerical experiments demonstrate that this improved wave motion input method not only eliminates drift instability but also effectively improves the calculation accuracy of low-frequency components. Furthermore, the method is easy to implement and, unlike other approaches, does not need artificial parameters. Thus, this method is proposed for use in wave scattering simulation such as seismic response analyses of structures, particularly for long-period structures and those that are sensitive to low frequency. [ABSTRACT FROM AUTHOR]