Numerical simulation of destruction processes by the grid-characteristic method

Destruction is occurred in wide variety of applied problems: collisions, dynamic load of materials, seismic influence on ground facilities, railway defects, etc. Nowadays, there are a lot of different mechanical models that describe the destruction process. In addition to the failure criteria, it is important to take into account correctly the changes in rheology of destroyed material. Due to these reasons, it is important to have the ability to simulate the process of destruction of arbitrary material. In this paper, the method for simulation is proposed. It is based on the numerical solution of govern system of elastic equations by the grid-characteristic method. After each step of elastic scheme, special corrector was applied to each damaged nodes of numerical grid to describe correctly dynamic behavior of fractured material. To illustrate the application of proposed technique, a set of problems was solved. The problem of collision between the metal hammer and glass plate was successfully solved in 2D and 3D cases. The developed software allows to analyze not only static image of fractured material but to calculate full stress tensor in a sequence moments of time. The extension of this approach may significantly extend the area of application of numerical simulation.