Martin Hušek, Filip Hokeš, Jirí Kala, Petr Král



A Simple Solution for Randomized Failure Modeling with the SPH Method

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Smoothed particle hydrodynamics, failure, numerical fracture, randomness, concrete, impact


Utilizing the Smoothed Particle Hydrodynamics (SPH) method to simulate structural strength material failures under high-speed loading currently constitutes, due to a variety of practical reasons, a common and favored procedure. In this technique, the absence of a physical computational mesh prevents numerical instabilities, and the comparatively simple code facilitates the creation of elementary add-ons that enable the approach to be employed within almost any suitable discipline. Considering the ever-increasing popularity of theories of randomness, which are related to, for example, the merely problematically predictable failures of heterogeneous materials, it is not surprising that the requirement for their implementation into actively used numerical methods (SPH being no exception) is gaining in intensity. The paper describes a simple drop test analyzing the failure of a concrete disc colliding with a rigid surface. The disc is simulated with the SPH method, into which the heterogeneity of concrete is introduced via a very simple algorithm; the heterogeneity stems from the structure of concrete, which is based on combining a concrete additive, a cement binder, and water. The results indicate that the applied process can be successfully practiced if several conditions also specified within the paper are observed.

Cite this paper

Martin Hušek, Filip Hokeš, Jirí Kala, Petr Král. (2016) A Simple Solution for Randomized Failure Modeling with the SPH Method. International Journal of Theoretical and Applied Mechanics, 1, 253-258