Abstract
This study provides coupled simulations of elastic wave propagation and failure phenomena using a MPS (Moving Particle Semi-implicit) method which is one of particle methods. It is simpler to model objects for analysis in MPS method because a mesh or lattice structure is not needed in the particle methods. Additionally, the absence of the mesh or lattice structure simplifies large deformation and failure phenomena in numerical analyses. For confirming the validation of MPS code developed in this study, numerical simulation is first conducted with respect to elastic wave propagation by comparing with FDM (Finite Difference Method). The result shows good agreement with that of FDM with respect to the reproducibility of P and S waves in the displacement velocity field. It is also examined that the numerical stability is dominated by velocity of media, grid spacing and time interval. Also, reflected waves excited at a physical boundary are reproduced in MPS as precisely as in FDM.
Next, we focus our attention on the Hopkinson's effect as a failure phenomenon induced by the elastic wave propagation. We apply the MPS method to the simulation with a specimen that is modeled as a two-dimensional long bar. Stress wave is generated in the specimen by applying the pressure on one edge. Compressive wave propagation in the interior of the specimen induced by incident external pressure is observed clearly, and the dynamic spalling of the bar was reproduced numerically. Then, the broken piece of the bar falls away from the main body. Consequently, these results show that MPS method could simultaneously reproduce not only wave propagation but failure phenomena. We think that this method has potential to be a common standard for dealing with both wave propagation and failure at the same time.
