ИСТИНА

The protection of buildings against seismic waves and waves produced by industrial vibrations is becoming an important problem due to the increasing intensity of human activities such as railway and road traffic. The purpose of wave barrier is to dissipate the energy of waves propagating in the ground; its design requires the development of numerical tools to analyze its isolation effect. One of the challenges in numerical simulation of wave barrier is to minimize spurious reflections at the boundaries. Therefore, a method for modeling semi-infinite domains is proposed in the paper on the basis of Rayleigh damping. Nevertheless, the introduction of Rayleigh damping, in a full explicit calculation, will lead to the reduction of the critical time step according to the CFL condition. Co-simulation strategies using both Abaqus/Explicit and Abaqus/Implicit are investigated for analyzing the protective effect of wave barrier against travelling waves into the soil medium. The co-simulation is based on the coupling GC method, proposed by Gravouil and Combescure, allowing for coupling different finite element codes with different time integrators and time-scales depending on the partitions of the domain. Absorbing Layers using Increasing Damping (ALID), based on the viscous Rayleigh damping formulation, are considered at the boundary of the Finite Element mesh in order to model the semi-infinite medium. The co-simulation strategy aims at treating the solid barrier and the ALID using Abaqus/ Implicit with large time steps, whereas the wave propagation in the soil is accurately reproduced using Abaqus/Explicit with fine time steps.