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fractal analysis
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Book: Fractography
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...
Abstract
This article discusses the fractal characteristics of fracture surfaces as a means for describing and quantifying irregular, complex curves and surfaces of fractured materials. It describes the important relationship between the profile and surface roughness parameters that yield the surface area of irregular fracture surfaces. The article reviews the experimental procedures required to obtain profiles and measurements that are made. In addition, fractal equations that linearize all the experimental data and provide constant fractal dimensions are presented in the article. Modified fractal dimensions that result from these analyses appear to possess some generality for natural irregular nonplanar surfaces and their profiles.
Book Chapter
Book: Fractography
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...
Abstract
The development of quantitative fractography (QF) parameters basically requires topological data of a fracture surface that can be derived from the stereological analysis of multiple projected scanning electron microscope (SEM) images; the profilometry-based techniques that measure the fracture surface profile along x-y sections of a fracture surface from metallographic sections or nondestructive techniques; and the three-dimensional reconstruction of the fracture surface topology using imaging methods such as stereo SEM imaging and confocal scanning laser microscopy. These three general methods of assessing fracture surface topology are reviewed in this article.
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
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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
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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...
Abstract
The quantitative characterization of fracture surface geometry, that is, quantitative fractography, can provide useful information regarding the microstructural features and failure mechanisms that govern material fracture. This article is devoted to the fractographic techniques that are based on fracture profilometry. This is followed by a section describing the methods based on scanning electron microscope fractography. The article also addresses procedures for three-dimensional fracture surface reconstruction. In each case, sufficient methodological details, governing equations, and practical examples are provided.
Book Chapter
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...
Abstract
Failure analysis is a process of acquiring specified information regarding the appropriateness of the design of a part, the competence with which the various steps of its manufacture have been performed, any abuse suffered by it in packing and transportation, or the severity of service under which failure has occurred. Beginning with a discussion of the various stages of failure analysis of glass and ceramic materials, this article focuses on descriptive and quantitative fracture surface analysis techniques that are used in the examination of glass and surfaces created by fracture and the interpretation of the fracture markings seen on these surfaces. Details are provided for the procedures for locating fracture origins, determining direction of crack propagation, learning the sequence of crack propagation, deducing the stress state at the time of fracture, and observing interactions between crack fronts and inclusions, etc. A separate fractography terminology is provided in this article.
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...
Abstract
Powder-bed additive manufacturing (AM) processes are some of the most commonly used techniques, necessitating the accurate measurement of powder flowability properties. This article discusses some powder flow tests that occur in powder-bed AM machines. These include the Hall/Carney flow test, bulk/tap density, rheometer, and the revolving or rotating drum technique. The three categories of powder properties that are available from rheometer experiments are discussed: bulk, dynamic flow, and shear properties. The article also describes the basic principles and applications of micro-X-ray computed tomography in studying powder porosity characteristics nondestructively.
Book: Fractography
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...
Abstract
The principal objective of quantitative fractography is to express the characteristics of features in the fracture surface in quantitative terms, such as the true area, length, size, spacing, orientation, and location. This article provides a detailed account of the development of more quantitative geometrical methods for characterizing nonplanar fracture surfaces. Prominent techniques for studying fracture surfaces are based on the projected images, stereoscopic viewing, and sectioning. The article provides information on various roughness and materials-related parameters for profiles and surfaces. The applications of quantitative fractography for striation spacings, precision matching, and crack path tortuosity are also discussed.
Book: Fractography
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...
Abstract
This article presents a brief description of the fundamental characteristics of concrete and its constituents for understanding concrete fracture surfaces. It discusses the following two types of fractures: fractures induced in the laboratory and existing (service) fractures. The article provides a discussion on how existing crack surfaces differ from induced fractures: color, hardness, luster, depth of carbonation, deposits on crack surfaces, and propagation around or through aggregates.
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...
Abstract
This article focuses on different aspects of wear particle analysis. It discusses the different wear regimes in the wear rate versus time (bathtub) curve. The article explains the essence of condition monitoring and how to properly sample lubricants for condition monitoring. It also discusses in-service lubricant analysis for condition monitoring, focusing on the spectrometric oil analysis program. The article describes the characteristics of wear particles and analytical techniques for characterizing them. It also describes the characteristics of different types of wear particles and the mechanisms by which they are generated. The article concludes with a summary of the major applications of wear particle analysis.
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...
Abstract
This article surveys common additive manufacturing (AM) data-acquisition methods, covering preprocess materials characterization in the lab, machine calibration in the field, in-process monitoring during a build, and the postprocess part inspections and tests. The focus is to identify acquisition-related metadata for AM data sets to improve data usability and reusability. Also included in the article are exemplar metadata definitions for a data set acquired from light-scattering-based particle size analysis.
Book Chapter
Book: Fractography
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...
Abstract
The purpose of fractography is to analyze fracture features and attempt to relate the topography of the fracture surface to the causes and/or basic mechanisms of fracture. This article reviews the historical development of fractography, from the early studies of fracture appearance dating back to the sixteenth century to the state-of-the-art work in electron fractography and quantitative fractography. It also describes the applications and limitations of scanning electron microscope and transmission electron microscope.
Book Chapter
Book: Fractography
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...
Abstract
This article reviews the historical development of fractography, from the early studies of fracture appearance dating back to the sixteenth century, and including the development of microfractography in the middle of the 20th century, to the current state-of-the-art work in electron fractography and quantitative fractography.
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...
Abstract
Nanofluids offer a completely different behavior of wetting kinetics and heat-removal characteristics, which are exploited in industrial heat treatment for quenching. This article provides information on the important thermophysical properties of nanofluids, namely, thermal conductivity, viscosity, specific heat, density, and surface tension. It reviews wetting and boiling heat-transfer characteristics of nanofluids as quenchants and highlights the importance of using nanofluids as effective quench media for the hardening process during heat treatment. The article describes the effect of nanoparticle addition on the microstructure, mechanical properties of components, wetting kinetics, and kinematics.
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...
Abstract
This article provides an overview of surface-texturing techniques. It describes the texturing parameters, namely, shape, depth, and width of the textured pattern, its aspect ratio (depth over width), texture area density, and orientation. The article explains the effect of these parameters on tribological behavior of textured surfaces. It provides information on various modeling approaches for surface texture. The article also discusses the beneficial effect of surface texturing.
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...
Abstract
This article focuses on laboratory atomic force microscopes (AFMs) used in ambient air and liquid environments. It begins with a discussion on the origin of AFM and development trends occurring in AFM. This is followed by a section on the general principles of AFM and a comprehensive list of AFM scanning modes. There is a brief description of how each mode works and what types of applications can be made with each mode. Some of the processes involved in preparation of samples (bulk materials and those placed on a substrate) scanned in an AFM are then presented. The article provides information on the factors applicable to the accuracy and precision of AFM measurements. It ends by discussing the applications for AFMs in the fields of science, technology, and engineering.
Book: Surface Engineering
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...
Abstract
Nontraditional finishing processes include electrochemical machining (ECM), electrodischarge machining (EDM), and laser beam machining. These processes belong to nonabrasive finishing methods where surface generation occurs with an insignificant amount of mechanical interaction between the processing tool and the workpiece surfaces. This article provides information on the equipment used, applications, process capabilities, and limitations of ECM and EDM.
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
Book Chapter
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...
Abstract
This article explains how ceramic powders are made. It begins by briefly describing the raw materials used in structural clay products, whitewares, refractories, and advanced ceramics. It then examines various additives that promote uniformity at different stages of the process. After a description of the comminution process (wet and dry milling methods), it discusses batching and mixing operations and granulation methods. The article also deals with the effect of process variables and the steps involved in chemical synthesis, including preparation from solution and gas-phase reactions, 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.
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...
Abstract
For a wide range of new or better products, solidification processing of metallic materials from the melt is a step of uppermost importance in the industrial production chain. This article discusses the casting and solidification of molten metallic alloy along with the application of low-gravity platforms and facilities for solidification processing. It provides a description of dendritic growth studies and electromagnetic levitation. The article concludes with information on the in situ and real-time monitoring of solidification processing.
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