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grain intercept length
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Book Chapter
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003726
EISBN: 978-1-62708-177-1
... Abstract This article contains a conversion table, which assists in the conversion of ASTM number to average grain intercept length. It also includes a table that lists European and U.S. grit numbers with their approximate particle size for metallographic grinding papers. grain intercept...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003248
EISBN: 978-1-62708-199-3
... fraction, grain structure (two-phase grain structures, and nonequiaxed grain structures), grain size, and inclusion content. It also reviews simple relationships between number of grains per unit area, number of intersections of a line of known length with particle or grain, and number of interceptions...
Abstract
Quantifying microstructural parameters has received considerable attention and success in developing procedures and using such data to develop structure/property relationships has been achieved. This article reviews many of the simple stereological counting measurements of volume fraction, grain structure (two-phase grain structures, and nonequiaxed grain structures), grain size, and inclusion content. It also reviews simple relationships between number of grains per unit area, number of intersections of a line of known length with particle or grain, and number of interceptions of particles or grains by a line of known length.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006682
EISBN: 978-1-62708-213-6
... fraction, number per unit area, intersections and intercepts per unit length, grain size, and inclusion content. quantitative metallography quantitative microstructural measurement grain size Overview Introduction Many tasks performed by metallographers are done simply by visual...
Abstract
This article reviews many commonly used stereological counting measurements and the relationships based on these parameters. The discussion covers the processes involved in sampling and specimen preparation. Quantitative microstructural measurements are described including volume fraction, number per unit area, intersections and intercepts per unit length, grain size, and inclusion content.
Image
in Crystallographic Analysis by Electron Backscatter Diffraction in the Scanning Electron Microscope
> Materials Characterization
Published: 15 December 2019
Fig. 13 Linear intercept estimation of grain size determined from electron backscatter diffraction maps of iron-cobalt alloys, using a 10° definition of a grain boundary. The average intercept length is 35 μm. Intercept length data should not be used as a measure of grain-size distributions
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Image
Published: 15 December 2019
. The mean lineal intercept length of the α-Ti phase is 0.00638 mm (0.00025 in.), and the ASTM International grain size, G, is 11.3.
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Image
in Quantitative Characterization and Representation of Global Microstructural Geometry
> Metallography and Microstructures
Published: 01 December 2004
is equal to 3.625 mm. Therefore, number of intersections per unit test line length is equal to 9.65 per mm. Mean intercept grain size calculated from these data is equal to {1/9.65} = 0.103 mm (or 103 μm), and the ASTM grain size number calculated using Eq 23 is equal to 3.27.
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Image
Published: 01 December 1998
Fig. 3 Example of grain size measurement using the intercept method. The three concentric circles have diameters of 79.5, 47.8, and 31.8 mm, for a total line length of 500 mm. The magnification of this micrograph is 500×, and hence the true line length is 1 mm. A count of the number of grain
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Image
Published: 15 December 2019
yielded 75 ( P = 75). The mean lineal intercept length is 0.067 mm (0.003 in.), and the ASTM International grain size number, G, is 4.5.
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Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003759
EISBN: 978-1-62708-177-1
... to intersect significantly fewer grain boundaries as compared to a vertical test line of the same length. If I L varies systematically with angular orientation of the test lines, it is essential to perform the intersection counts using test lines of several random angular orientations placed in numerous...
Abstract
The objective of quantitative metallography/stereology is to describe the geometric characteristics of the features. This article discusses the geometric attributes of microstructural features that can be divided into: the numerical extents and the number density of microstructural features; derived microstructural properties; feature specific size, shape, and orientation distributions; and descriptors of microstructural spatial clustering and correlations. It emphasizes on the practical aspects of the measurement techniques and applications. The article also provides information on the quantitative metallographic methods for estimation of volume fraction, total surface area per unit volume, and total length of per unit volume.
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
... ′ = ( π 2 ) P ¯ L ′ A T ′ L ¯ 2 ′ Mean intercept length of a closed figure L ¯ 2 ′ = 2 P ¯ P ′ P ¯ L ′ A ′ Area of a closed figure A ′ = P ¯ p ′ A T ′ Part II: Systems...
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: Surface Engineering
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001237
EISBN: 978-1-62708-170-2
... analysis Field measurements (stereology) Object measurements (feature measurement) Area fraction Area Area percent Length ASTM E 112 grain size Width Count Aspect ratio Perimeter Feret measurements Mean intercept distance Perimeter Mean particle surface area Sphericity...
Abstract
Quantitative image analysis has expanded the capabilities of surface analysis significantly with the use of computer technology. This article provides an overview of the quantitative image analysis and optical microscopy. It describes the various steps involved in surface preparation of samples prone to abrasion damage and artifacts for quantitative image analysis.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005302
EISBN: 978-1-62708-187-0
... in one of several units: Average intercept distance Calculated average grain diameter ASTM grain size number Grains per unit area Table 1 gives values in different units of measurement, for the sake of comparison. The easiest procedure is usually to measure the average intercept...
Abstract
Grain refinement in aluminum casting alloys tends to reduce the amount of porosity and the size of the pores and to improve mechanical properties, especially fatigue strength. This article provides information on measurement of grain size in alloys and describes the mechanisms of grain refinement in aluminum casting alloys. It reviews the use of boron and titanium as a grain refiner for aluminum casting alloys. The article discusses the best practices for grain refinement in various aluminum casting alloys. These include aluminum-silicon casting alloys, aluminum-silicon-copper casting alloys, aluminum-silicon-copper casting alloys, aluminum-zinc-magnesium casting alloys, and aluminum-magnesium casting alloys. The article also examines the benefits of grain refinement in aluminum casting alloys.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003319
EISBN: 978-1-62708-176-4
... those measured with long cracks. This sensitivity to crack length is a consequence of the mechanisms used to toughen ceramics (e.g., grain bridging in the crack wake), which are extrinsic in nature. Fatigue crack growth of long cracks in toughened ceramics results as the toughening mechanism breaks down...
Abstract
This article describes the fatigue mechanism and behavior of environmentally induced fatigue and cyclic fatigue. It discusses three basic strength test methods, namely, static, dynamic, and cyclic, along with their analytical relations for determining the fatigue parameters and behavior of ceramics and glasses. The article explains the double torsion and double-cantilever beam fracture mechanics methods, which employ test specimens with relatively large, induced cracks. Crack growth data are typically determined directly by the observation of the crack or by devices that monitor test specimen compliance, such as clip gages and strain gages.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006660
EISBN: 978-1-62708-213-6
... intercept length is 35 μm. It is important to understand that the step size of the EBSD measurement can influence the measured grain size. Steps must be taken to remove the smallest of the measured grains ( Ref 46 ). It should be noted that this measurement is from a single section with no correction...
Abstract
The electron backscatter diffraction (EBSD) technique has proven to be very useful in the measurement of crystallographic textures, orientation relationships between phases, and both plastic and elastic strains. This article focuses on backscatter diffraction in a scanning electron microscope and describes transmission Kikuchi diffraction. It begins with a discussion on the origins of EBSD and the collection of EBSD patterns. This is followed by sections providing information on EBSD spatial resolution and system operation of EBSD. Various factors pertinent to perform an EBSD experiment are then covered. The article further describes the processes involved in sample preparation that are critical to the success or usefulness of an EBSD experiment. It also discusses the applications of EBSD to bulk samples and the development of EBSD indexing methods.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001755
EISBN: 978-1-62708-178-8
... in the grain interior to remove inclusions, then conducting chord measurements ( Ref 30 ). The average chord length is equivalent to the mean lineal intercept, L ¯ 3 , used to assess grain size. However, grains that intersect the frame border will be undersized if they are not deleted. A sample...
Abstract
This article describes the various steps involved in image analysis, including sample selection and preparation, image preprocessing, measurement, and data analysis and output. It reviews various types of image analyzers and explains how operator bias and poor sample selection and preparation practices can lead to measurement error. It also examines several applications, illustrating how microstructural measurements can be used to assess quality control and better understand how processing changes affect microstructure and, in turn, material properties and behavior.
Book Chapter
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006748
EISBN: 978-1-62708-213-6
... set of wavelengths, intercept lengths converted to ASTM Inter- buffered include pH, oxidation potential, produced by and characteristic of a particu- national grain size numbers, based on the and ame or plasma temperatures. lar element whenever its excitation potential area percent or length percent...
Series: ASM Handbook
Volume: 1
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v01.a0001031
EISBN: 978-1-62708-161-0
... weight, in addition to moderate formability, are required. The yield strengths of these steels generally range from 345 to 690 MPa (50 to 100 ksi). Total Elongation After fracture, the tensile specimen is pieced together, and the length between gage marks is measured. In this manner, elongation...
Abstract
Steel sheet is widely used for industrial and consumer products, partly because it is relatively strong, easily joined, and readily available at moderate cost. This article discusses the mechanical properties and formability of steel sheet, the use of circle grid analysis to identify the properties of complicated shapes, and various simulative forming tests. The mechanical properties of steel sheet that influence its forming characteristics, either directly or indirectly, can be measured by uniaxial tension testing. The article covers the effects of steel composition, steelmaking practices, and metallic coatings, as well as the correlation between microstructure and formability. A guide to the selection of steel sheet is also included. The formability of steel sheet is related to various microstructural features of the sheet. The article describes some of the forming characteristics of the more commonly used formable grades. It also lists the typical mechanical properties for common grades of hot-rolled and cold-rolled steel sheets.
Book: Surface Engineering
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001298
EISBN: 978-1-62708-170-2
... microscopic areas, such as one grain or subgrain Inhomogeneous microstresses, which are inhomogeneous even on a microscopic level Residual macrostresses are the ones of most interest in engineering practice, because they can substantially affect component service performance. Both residual...
Abstract
This article provides a useful guide for measuring residual macrostress on coatings. The most commonly used measurement methods are mechanical deflection, X-ray diffraction, and hole-drilling strain-gage. After a discussion on the origins of residual stress, the article describes the fundamental principles and presents examples of practical measurements for each method.
Series: ASM Handbook
Volume: 2B
Publisher: ASM International
Published: 15 June 2019
DOI: 10.31399/asm.hb.v02b.a0006549
EISBN: 978-1-62708-210-5
... is not explicitly accounted for in the strain-life method. However, fracture mechanics methods may be employed to determine crack propagation life from an assumed initial crack size to a final crack length. Total lives are then reported as the sum of the initiation and propagation segments. High-Cycle Fatigue...
Abstract
This article describes the effects of cyclic fatigue properties on aluminum alloys. It provides a discussion on strain-control fatigue and the effects of two microstructural features on the strain life of aluminum alloys: shearable precipitates and precipitate-free zones. The article discusses various models of fatigue crack growth (FCG) and the effects of alloy microstructure and composition on FCG.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005413
EISBN: 978-1-62708-196-2
... a horizontal course with zero slope. Stage III is strongly affected by temperature and reduces the length of stage II continuously with increasing temperature and decreasing rate of deformation. Fig. 1 Resolved shear stress, τ, versus shear strain, γ, of the primary slip system of a silver single...
Abstract
This article focuses on the analyzing and modeling of stress-strain behavior of polycrystals of pure face-centered cubic (fcc) metals in the range of temperatures and strain rates where diffusion is not important. It presents a phenomenological description of stress-strain behavior and provides information on the physical background, alternative interpretations, and directions of research. The quantitative description of strain hardening of fcc polycrystals is provided. The article also discusses the modeling of stress-strain behavior in body-centered cubic metals, hexagonal metals, stage IV work hardening, and the various classes of single-phase alloys.
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