Characteristics of porous beds based on fractal parameters

• Autorzy: Bramowicz M. , Kulesza S. , Sobieski W.
• Języki publikacji: EN

Abstrakty

EN

The paper presents the results of a fractal analysis of the cross-sections of a porous mineral deposit consisting of spherical elements which formed a spatial system with varying porosity (0.4 to 0.95). The virtual deposit was generated using the Discrete Element Method in the YADE code by means of the so-called Radius Expansion Method. The fractal analysis was carried out using the structure function method, determining the fractal dimension (D), the topothesy (L) and the corner frequency (l) (MAINSAH et al. 2001). The conducted simulations have confirmed to a considerable extent the test results available in the literature involving the fractal analysis of mineral deposits with varying porosity. They clearly indicate that the fractal dimension does not change along with the porosity of the deposit, if the autocorrelation function or their transformations (e.g. structure function) methods are used. Moreover, based on the information available in the literature, it can be concluded that the value of the fractal dimension corresponds to mineral deposits with the specified geometric shapes of the elements which form them.

Słowa kluczowe

EN

granular beds; porosity; fractal analysis; numerical modelling

• Wydawca: Wydawnictwo Uniwersytetu Warmińsko-Mazurskiego w Olsztynie
• Czasopismo: Technical Sciences / University of Warmia and Mazury in Olsztyn
• Rocznik: 2017
• Tom: nr 20(2)
• Strony: 171--179
• Opis fizyczny: Bibliogr. 20 poz., rys., wykr., zdj.

Twórcy

autor

Bramowicz M.

• Katedra Technologii Materiałów i Maszyn, Wydział Nauk Technicznych, Uniwersytet Warmińsko-Mazurski, 10-719 Olsztyn, ul. Oczapowskiego 11, phone: [phone]

autor

Kulesza S.

• Department of Relativistic Physics

autor

Sobieski W.

• Department of Mechanics and Basics of Machine Construction, University of Warmia and Mazury in Olsztyn

Bibliografia

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• BRAMOWICZ M., KULESZA S., CZAJA P., MAZIARZ W. 2014. Application of the autocorrelation function and fractal geometry methods for analysis of MFM images. Archives of Metallurgy and Materials, 59(2): 441-457.
• BRAMOWICZ M. 2008. Analiza morfologii mikrostruktury martenzytycznej w stopie Ni-Mn-Ga z magnetyczną pamięcią kształtu. Rozprawa doktorska. UWM Olsztyn.
• BRAMOWICZ M., KULESZA S., LIPIŃSKI T., SZABRACKI P., PIATKOWSKI P. 2013. Fractal Analysis of AFM Data Characterizing Strongly Isotropic and Anisotropic Surface Topography. Solid State Phenomena, 203-204: 86-89.
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• KULESZA S., BRAMOWICZ M. 2014. A comparative study of correlation methods for determination of fractal parameters in surface characterization. Applied Surface Science, 293: 196-201.
• MAINSAH E., GREENWOOD J.A., CHETWYND D.G. 2001. Metrology and Properties of Engineering Surfaces. Kluwer Academic Publishers Inc., Norwell, MA.
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• SUN H., KOCH M. 1998. Numerical generation of porous structure with fractal properties. Computational Methods in Water Resources, XII(2): 149-157.
• THOMAS T.R., ROSE’N B.G., AMINI N. 1999. Fractal characterisation of the anisotropy of rough surfaces. Wear, 232: 41-50.
• VAN’YAN P.L. 1996. Structure function of the velocity field in turbulent flows. Journal of Experimental and Theoretical Physics, 82(3): 580-586.
• YADAV R.P., KUMAR M., MITTAL A.K., PANDEY A.C. 2015. Fractal and multifractal characteristics of swift heavy ion induced self-affine nanostructured BaF2 thin film surfaces. Chaos, 25: 083115-083115-9.
• Yade. https://yade-dem.org/doc/ (access: 1.05. 2016).
• Yade Documentation. https://launchpad.net/yade (access: 1.05. 2016).
• PN EN ISO 25178-2:2012. Specyfikacje geometrii wyrobów (GPS) - Struktura geometryczna powierzchni: przestrzenna. Część 2. Terminy, definicje i parametry struktury geometrycznej powierzchni.
• PN EN ISO 25178-3:2012. Specyfikacje geometrii wyrobów (GPS) - Struktura geometryczna powierzchni: przestrzenna. Część 3. Specyfikacje operatorów.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).