Abstract
The main aim of the paper is to present an elegant procedure for introducing heterogeneity to simplified computational models. A computational model is considered here to be theoretically any numerical model that includes material with structural strength. Heterogeneity then means the randomness in material parameters, which allows a simplified model to behave like the comprehensively described structure of a material. The whole procedure is explained using the example of a material model of concrete in the form of a concrete block (target) which is exposed to high-speed impact loading. Even though the described procedure for the introduction of heterogeneity to computational models can be applied during the use of practically all numerical methods, the Smoothed Particle Hydrodynamics (SPH) method will be used due to the type of loading involved. The creation of the presented procedure was prompted by the constantly increasing number of input parameters used with material models. Elementary material models with a minimum of inputs can be used when applying the procedure. The end of the paper deals with the improvement in use that enables heterogeneity (i.e. randomness of material structure) to be created in such a way that a simplified model reflects as much as possible the real material structure, not only the variations of mathematical functions.
Highlights
The original idea in the very foundations of structure designing and related domains consisted in creating a simple and robust concept
The paper discusses a simple procedure for introducing numerical heterogeneity into Smoothed Particle Hydrodynamics (SPH)-based models
The principles of the relevant procedure and the conditions that, if satisfied, enable to avoid numerical cracks, which are unrelated to the numerical heterogeneity are characterized
Summary
The original idea in the very foundations of structure designing and related domains consisted in creating a simple and robust concept. With the progress of time, simple outlines gradually became more complicated, eventually reaching a stage where a mere pencil with a sheet of paper had ceased to suffice. Maňas faced with efforts to design structures as simple as reasonably possible; after being completed, such structures may not necessarily be the simplest ones in terms of their behaviour and the presumptions of structural mechanics [1,2,3]
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