Abstract
<title>Abstract</title> <p>A numerical solution is constructed in the spatial formulation for the problem of reflection and transmission of a surface wave, initiated in a homogeneous elastic medium, through a periodic system of barriers in the form of embedded blocks of compliant material, located along the wave front. Initial data of the problem for velocities and stresses behind the surface wave front in the elastic medium are specified in accordance with an exact solution containing an arbitrary analytical function of a complex variable. In the computations, this function is chosen so as to provide the prescribed parameters for localization of the wave amplitude in the direction of motion and deeply into the elastic massif. The behavior of blocks is described using a rheological soil model, which takes into account plastic deformation and different resistance of the material to tension and compression.The author's software package {\sl 3Dyn_Granular} is applied for solving three-dimensional elastic-plastic problems in the dynamics of granular media.The obtained numerical results demonstrate the fundamental possibility of using blocky soil barriers for the effective damping of surface waves in order to protect construction sites and engineering structures from destructive impacts. MSC Classification: 35L85 , 65K15 , 74J15 , 74C05 , 74S20 , 68W10</p>