Publication detail

Conversion of Fractal Fields into Heterogeneities inside SPH Simulations

HUŠEK, M. KALA, J. HOKEŠ, F. KRÁL, P.

Original Title

Conversion of Fractal Fields into Heterogeneities inside SPH Simulations

Type

conference paper

Language

English

Original Abstract

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.

Keywords

heterogeneities, SPH Simulations

Authors

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

Released

12. 6. 2017

ISBN

1757-8981

Periodical

IOP Conference Series: Materials Science and Engineering

Year of study

2017

Number

245

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

10

Pages count

10

URL

BibTex

@inproceedings{BUT146045,
  author="Martin {Hušek} and Jiří {Kala} and Filip {Hokeš} and Petr {Král}",
  title="Conversion of Fractal Fields into Heterogeneities inside SPH Simulations",
  booktitle="IOP Conf. Series: Materials Science and Engineering of World Multidisciplinary Civil Engineering - Architecture - Urban Planning Symposium 2017",
  year="2017",
  journal="IOP Conference Series: Materials Science and Engineering",
  volume="2017",
  number="245",
  pages="1--10",
  doi="10.1088/1757-899X/245/3/032024",
  issn="1757-8981",
  url="http://iopscience.iop.org/article/10.1088/1757-899X/245/3/032024/pdf"
}