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fractal analysis

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Series: ASM Handbook Archive
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.a0001838
EISBN: 978-1-62708-181-8
... fractal dimensions that result from these analyses appear to possess some generality for natural irregular nonplanar surfaces and their profiles. fractal analysis fracture surface quantitative fractography surface roughness RESEARCH into the field of quantitative fractography has progressed...
Series: ASM Handbook
Volume: 12
Publisher: ASM International
Published: 01 June 2024
DOI: 10.31399/asm.hb.v12.a0007033
EISBN: 978-1-62708-387-4
..., and efficiency. Data that can be obtained with a typical semiautomatic image analysis system include coordinates at preselected intervals along the trace, angular distributions, true profile length, and fractal data. After the desired basic data have been acquired, analysis of the profile calculation of 3D...
Image
Published: 01 January 2002
Fig. 13 Slit-island method for measuring fractal dimensions. (a) Horizontal fracture profile sections are needed for slit-island method. (b) Slit islands in the tensile fracture surface of a steel specimen. (c) Slit lakes in the tensile fracture surface of a low alloy steel. (d) Fractal area More
Image
Published: 01 June 2024
Fig. 26 Slit-island method for measuring fractal dimensions. (a) Horizontal fracture profile sections are needed for the slit-island method. (b) Slit islands in the tensile fracture surface of a steel specimen. (c) Slit lakes in the tensile fracture surface of a low-alloy steel. (d) Fractal More
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003536
EISBN: 978-1-62708-180-1
...) Slit islands in the tensile fracture surface of a steel specimen. (c) Slit lakes in the tensile fracture surface of a low alloy steel. (d) Fractal area-perimeter plot for the slit island analysis. Source: Ref 33 Estimation of Fracture Surface Parameters from Profilometric Data In general...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003058
EISBN: 978-1-62708-200-6
... errors. Fractal Analysis Fractal analysis provides a quantitative measure of complex shapes in a relatively simple manner. It makes it possible to relate the formation of fractal surfaces to the resistance of the atomic bonds to rupture ( Ref 12 ). This method is based on fractal geometry, a non...
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006568
EISBN: 978-1-62708-290-7
... and compacting the powder in the serrated base shear cell, to measure the maximum shear stresses for a given consolidation or normal stress. Following the data analysis method ( Fig. 6 ) outlined in ASTM International standard D 7891-15, the parameters obtained and interpreted are: Angle of internal...
Series: ASM Handbook Archive
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.a0001837
EISBN: 978-1-62708-181-8
... and in the article “Fractal Analysis of Fracture Surfaces” in this Volume). A number of equations have been derived that relate the profile roughness parameter R L to the surface roughness parameter R S and therefore to the fracture surface area ( Ref 9 , 10 , 13 , 17 , 23 ). Another approach...
Series: ASM Handbook
Volume: 12
Publisher: ASM International
Published: 01 June 2024
DOI: 10.31399/asm.hb.v12.a0006881
EISBN: 978-1-62708-387-4
... to occur through a nonlinear region, the fracture-process zone, in front of the crack tip. Several researchers ( Ref 11 ) have shown that fractal analysis is a promising approach to characterizing the fracture surface and allows them to gain insight into the crack-resisting properties of concrete...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006383
EISBN: 978-1-62708-192-4
... and engineers have made considerable efforts to construct auto-classification systems for imaged wear particles ( Ref 69 ). Numerical descriptions of wear particles have also been proposed (see the section “ Particle Shape ” in this article), so does fractal analysis ( Ref 70 ). Several algorithms and pattern...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006981
EISBN: 978-1-62708-439-0
... analysis, etc.) that are meant to summarize the height distributions in a meaningful way. Additionally, there are methods for segmenting surfaces (e.g., Wolf pruning) and analysis techniques (e.g., fractal methods) available in ISO standards ( Ref 38 ), as well as techniques being developed in research...
Series: ASM Handbook Archive
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.a0001830
EISBN: 978-1-62708-181-8
...” and “Fractal Analysis of Fracture Surfaces” in this Volume. Supplementary information can be found in the article “Scanning Electron Microscopy.” Acknowledgments ASM wishes to express its appreciation to the following individuals for their assistance in compiling the historical data used...
Series: ASM Handbook
Volume: 12
Publisher: ASM International
Published: 01 June 2024
DOI: 10.31399/asm.hb.v12.a0006872
EISBN: 978-1-62708-387-4
... of the historical development of quantitative fractography and associated quantification techniques can be found in the articles “Quantitative Fractography” and “Fractal Analysis of Fracture Surfaces” in this Volume. Supplementary information can be found in the article “Scanning Electron Microscopy...
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005933
EISBN: 978-1-62708-166-5
... of this ordered nanolayer ( Ref 51 ). Wang et al. proposed a fractal model for liquid with dilute suspensions of nonmetallic nanoparticles, which involves the effective medium theory. The proposed model describes the nanoparticle clusters and their size distribution ( Ref 64 ). Xue presented a novel model...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006365
EISBN: 978-1-62708-192-4
... 100 parameters being defined based on two-dimensional (2-D) stylus-type measurement as well as further ones based on three-dimensional (3-D) interferometric topography analysis ( Ref 72 , 73 , 74 ). Typical engineering surfaces are characterized with traditional roughness parameters that perform...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006658
EISBN: 978-1-62708-213-6
... of a sample. The analysis of an AFM image generates a numerical value representative of a specific characteristic of the surface of the sample. There are several types of analysis, including line profile, surface texture, fractal, and particle. Figure 7 illustrates the capabilities of image-processing...
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001233
EISBN: 978-1-62708-170-2
... J.F.L.M. , Surface Topography Investigations by Fractal Analysis of Spark-Eroded, Electrically Conductive Ceramics , Ann. CIRP , Vol 39/1 , 1990 26. Wang S.Z. , Rajurkar K.P. , and Kozak J. , Effect of Grain Size on Wire Electrical Discharge Machining of Polycrystalline...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.9781627082136
EISBN: 978-1-62708-213-6
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003052
EISBN: 978-1-62708-200-6
..., filtration and washing, and powder recovery techniques. It concludes with a discussion on characterization, centering on size distribution analysis, specific surface area, density, porosity chemical composition, phase, and surface composition. ceramic powders ceramic processing additives chemical...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005522
EISBN: 978-1-62708-197-9
... Intermetallic Materials Processing in Relation to Earth and Space Solidification (IMPRESS) integrated project. (a) Geographical distribution of IMPRESS partners in Europe. Courtesy of European Space Agency (ESA). (b) Lightweight, high-strength TiAl turbine blades. Courtesy of ACCESS e.V., Germany. (c) Fractal...