Explanation the difference in destructed areas simulated using various failure criteria by the wave dynamics analysis

摘要

Recent researches have shown that the damaged areas, calculated using various failure criteria for materials with complex heterogeneous structure are not always consistent with physical experiments and with each other. In this paper, we compare two failure criteria, i.e. the principal stress criterion and the von Mises yield criterion. Also, we compare two models of destruction formation, i.e. the model of fractures and sand model. Using the wave dynamics analysis, we explain the difference in the calculated zones of destruction. We indicate what differences in elastic wave phenomena cause the difference in the calculated fracture zones. We assume that further study of the connection between wave phenomena and destruction of materials will allow to develop more precise failure criteria. To carry out the research, we applied numerical modeling of spatial dynamic elastic wave processes in a nuclear power plant and enclosing rocks. We use the grid-characteristic method on combined regular and structural hexahedral grids to describe the complex shape of the dome of the nuclear power plant with minimal computational costs. Moreover, in this work, we consider an approach for calculating the contribution of dynamic elastic wave phenomena to seismic stability of facilities. This technique can be especially useful in the development and testing of seismic insulation of buildings. We propose a failure formation model that takes into account the contribution of static loads and dynamic loads separately.