Martin Hušek, Jirí Kala, Filip Hokeš, Petr Král



How to Handle Irregular Distribution of SPH Particles in Dynamic Fracture Analysis

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Smoothed particle hydrodynamics, support domain, nonlinear constitutive model, numerical fracture, concrete, dynamic loading


The failure of quasi-brittle materials is still a topical issue today, as no comprehensive theory that is able to describe all the ways in which stress can occur without the introduction of special variables has yet been accepted. The numerical methods which are commonly used for the investigation of extensive problems that include fracture mechanics often need various extensions so that they are able to solve a given task successfully. The Smoothed Particle Hydrodynamics (SPH) method was not used in connection with quasi-brittle material failure for a long time due to the fact that it was not conceptually designed for the investigation of structural mechanics issues, but rather for hydrodynamics. However, in cases of high-speed stress, it is advantageous to use the SPH method because materials with structural strength behave in a similar way to fluids in such situations. Unfortunately, even this method suffers from false numerical dependencies which can influence the results of simulations in a negative manner. It can be concluded from executed tests that the initial regularity of the distribution of SPH particles plays an important role regardless of the investigated task. The contribution describes a test from the area of the simulation of dynamically loaded concrete structures using the SPH method. The primary subject of discussion is the influence of the initial distribution of particles on the results of simulations, as well as a possible solution to problems which arise due to the poor regularity of particle distribution. The simulations in question are compared with the experiment and results obtained via the Finite Element Method.

Cite this paper

Martin Hušek, Jirí Kala, Filip Hokeš, Petr Král. (2016) How to Handle Irregular Distribution of SPH Particles in Dynamic Fracture Analysis. Theoretical and Applied Mechanics, 1, 212-217