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Purpose: In this work modification of the PCM method for determination of the surface fractal dimension is proposed. Complete reasoning, leading to correct formula for determination Ai(ä) is presented. In order to test modified method, data sets characterised by fractional fractal dimension were generated. Design/methodology/approach: Three different algorithms to receive data sets describing surfaces with fractional fractal dimension were exploited (two algorithms of midpoint displacement and Falconer algorithm). Findings: In this work detailed methodology for surface multifractal description, which may be directly applied for data obtained from the AFM microscope, was presented. Research limitations/implications: The geometrical features description of surfaces of the coatings obtained in the PVD and CVD processes. Practical implications: In presented work modified PCM method for determination of the surface fractal dimension was proposed. Performed calculations proved that new method make possible to determine this parameter more correctly. Differences are especially significant for rough surfaces, as what tested using series of data sets generated by algorithms for modelling surfaces with fractional fractal dimension. Proposed modified method for determination of the fractal dimension can be used for description of the geometrical features of coatings obtained in the PVD and CVD processes. Originality/value: Fractal and multifractal analysis gives possibility to characterise the extent of irregularities of the analysed surface in the quantitative way.
Wydawca
Rocznik
Tom
Strony
115--125
Opis fizyczny
Bibliogr. 44 poz., rys., tabl.
Twórcy
autor
- Division of Materials Processing Technology, Management and Computer Techniques in Materials Science, Institute of Engineering Materials and Biomaterials, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland, waldemar.kwasny@polsl.pl
Bibliografia
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- [8] W. Kwaśny, L. A. Dobrzański, S. Bugliosi, Ti+TiN, Ti+Ti(CxN1-x), Ti+TiC PVD coatings on the ASP 30 sintered high-speed steel, Journal of Materials Processing Technology 157-158 (2004) 370-379.
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- [10] K. Gołombek, L.A. Dobrzański, M. Sokovic, J. Kopac, Functional properties of cemented carbides with PVD and CVD wear resistant coatings, Mechanic 4 (2005) 321-327 (in Polish).
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- [16] C. Dominkovics, G. Harsányi, Fractal description of dendrite growth during electrochemical migration, Microelectronics Reliability 48 (2008) 1628-1634.
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- [19] Y. Jiang, B. Li, Y. Tanabashi, Estimating the relation between surface roughness and mechanical properties of rock joint, International Journal of Rock Mechanics and Mining Sciences 43/6 (2006) 837-846.
- [20] H. W. Zhou, H. Xie, Direct Estimation of the Fractal Dimensions of a Fracture Surface of Rock, Surface Review and Letters 10/5 (2003) 751-762.
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- [26] W. Kwaśny, L. A. Dobrzański, M. Pawlyta, W. Gulbiński, Fractal nature of surface topography and physical properties of the coatings obtained using magnetron sputtering, Journal of Materials Processing Technology 157-158 (2004) 183-187.
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- [28] W. Kwaśny, L. A. Dobrzański, Structure, physical properties and fractal character of surface topography of the Ti+TiC coatings on sintered high speed steel, Journal of Materials Processing Technology 164-165 (2005) 1519-1523.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BOS2-0020-0019