Conversion of Fractal Fields into Heterogeneities inside SPH Simulations

Conversion of Fractal Fields into Heterogeneities inside SPH Simulations

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The inclusion of material heterogeneities in numerical simulations enables us to come close to the almost perfect description of the behaviour of structures. There are various ways and methods of introducing heterogeneity into a computational model. One of the methods is the creation of areas (fractal fields) in which material properties differ. The shape of such fractals is most frequently based on simple mathematical functions. However, this destroys the ability of the model to represent reality, as the structure of a real material is not based on any mathematical function. Fractals do not have to be based just on one simple mathematical function. On the contrary, they can be based on more complex inputs, such as real images of materials. In the case of images of concrete, fields can be generated which correspond to the presence of an aggregate, a cement binder or an air void. The contribution therefore describes fundamental steps in the creation of fractals, or the creation of fields based on real images of a material. The contribution also deals with the creation of material parameter oscillations and their subsequent inclusion in the numerical code of the Smoothed Particle Hydrodynamics (SPH) method. The conditions necessary for successful simulations if the SPH method is used are described. The whole process is clearly demonstrated using a pressure test conducted on a cylindrical concrete specimens. The presented results show the consequences of the inclusion of material heterogeneity in numerical simulations. These include randomness in the failure type or differences in the stress–strain diagrams of the monitored specimens. The functionality of the proposed process is supported by the results.

The inclusion of material heterogeneities in numerical simulations enables us to come close to the almost perfect description of the behaviour of structures. There are various ways and methods of introducing heterogeneity into a computational model. One of the methods is the creation of areas (fractal fields) in which material properties differ. The shape of such fractals is most frequently based on simple mathematical functions. However, this destroys the ability of the model to represent reality, as the structure of a real material is not based on any mathematical function. Fractals do not have to be based just on one simple mathematical function. On the contrary, they can be based on more complex inputs, such as real images of materials. In the case of images of concrete, fields can be generated which correspond to the presence of an aggregate, a cement binder or an air void. The contribution therefore describes fundamental steps in the creation of fractals, or the creation of fields based on real images of a material. The contribution also deals with the creation of material parameter oscillations and their subsequent inclusion in the numerical code of the Smoothed Particle Hydrodynamics (SPH) method. The conditions necessary for successful simulations if the SPH method is used are described. The whole process is clearly demonstrated using a pressure test conducted on a cylindrical concrete specimens. The presented results show the consequences of the inclusion of material heterogeneity in numerical simulations. These include randomness in the failure type or differences in the stress–strain diagrams of the monitored specimens. The functionality of the proposed process is supported by the results.

heterogeneities, SPH Simulations

heterogeneities, SPH Simulations

HUŠEK, M.; KALA, J.; HOKEŠ, F.; KRÁL, P.

2018

12.06.2017

IOP Conf. Series: Materials Science and Engineering of World Multidisciplinary Civil Engineering - Architecture - Urban Planning Symposium 2017

1757-8981

IOP Conference Series: Materials Science and Engineering

2017

245

Spojené království Velké Británie a Severního Irska

1

10

10

http://iopscience.iop.org/article/10.1088/1757-899X/245/3/032024/pdf