The Grid-Characteristic Method for Applied Dynamic Problems of Fractured and Anisotropic Media

Abstract

The wave processes are occurred in different technological applications: the seismic survey process, the non-destructive material quality control, the ultrasound medical technique. In this research the dynamic loading problem of complex media is investigated. The grid-characteristic approach is extended for this case. The general approach on the curvilinear structured mesh is considered. The standard splitting technique is used for reducing the initial multidimensional system to a set of one-dimensional transport equations. This technique also allows to fulfill automatically physically correct linear contact conditions. The thin plate loading process is numerically simulated in the full wave three-dimensional case. The whole spectrum of elastic waves initiated on the fracture is observed. The two-dimensional mode conversion experiment is simulated for the anisotropic inclusion.