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In this paper, a homogeneous linear elastic half-plane model cluttered with multiple embedded arbitrarily-shaped inclusions is presented. The model was built based on the time-domain boundary element method established via the half-space Green’s functions, subjected to propagating obliquely incident SH-waves. Using this method, the discretization was performed only on the interfaces. The full-contact posture was assumed between the inclusions and the surrounding domain. First, the problem was disintegrated into two parts including a multi-pitted half-plane and a system of randomly shaped closed filled solids. Then, by applying the method to each part, the influence coefficients of the matrices were obtained. Finally, to form a coupled equation for determining unknown boundary values in each time-step, the boundary/continuity conditions were satisfied on the interfaces. By implementing the method in an advanced developed algorithm, its efficiency was investigated by comparing the responses with those of the published works. To complete the obtained results, the synthetic seismograms and three-dimensional amplification patterns of the surface were presented. Also, some snapshots were illustrated to reveal the dispersion of the waves. The proposed method is a powerful tool for modeling various structures at the nano-scale and can be recommended to engineers for transient analysis of composite materials.

On subsurface multiple inclusions model under transient SH -wave propagation