Inclusion of Randomness into SPH Simulations

The complexity of numerical simulations is increasing alongside the growing need to capture the behaviour of real-world processes as well as possible. A frequent problem is the inclusion of the randomness factor in numerical simulations in order to better reflect the results of experiments. In cases when the material used in experiments shows signs of heterogeneity, it is also advisable to introduce it in the numerical model. The inclusion of heterogeneity can take place in several ways, though this of course always depends on the numerical method chosen. This contribution describes a procedure which can be used to implement material heterogeneity within the numerical code of the Smoothed Particle Hydrodynamics (SPH) method. The whole algorithm is explained using the example of a cylindrical concrete body striking a solid base. Aspects which need to be maintained to ensure algorithm functionality are described, too. As it is relatively difficult to implement the initial singularities of the crack type into the SPH method, a procedure is described at the end of the article which can be used to implement initial cracks to simulations using a described algorithm. The results of the simulations show that the described algorithms can be used successfully.