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radial distribution function

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Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001762
EISBN: 978-1-62708-178-8
... Abstract The diffraction pattern of any material contains structural and chemical property information that can be extracted using radial distribution function analysis. This article provides an introduction to the technique and presents several examples highlighting various ways in which...
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Published: 01 January 1986
Fig. 1 The radial distribution function, r 2 G ( r ), for silica glass with the first three peaks reintroduced without associated termination effects. More
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Published: 01 January 1990
Fig. 10 The reduced radial distribution function for a dense random packing of hard spheres compared with that for the metallic glass Ni 76 P 24 . Source: Ref 22 , 23 More
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Published: 01 December 2004
Fig. 35 Radial distribution function. (a) Microstructure of a ceramic-matrix composite containing aligned continuous fibers of SiC (nicalon) having a nonuniform spatial distribution, consisting of fiber-rich and fiber-poor regions, observed in the transverse section. (b) Radial distribution More
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Published: 15 December 2019
Fig. 11 Series of experimental and differential radial distribution functions of Al 87 Ni 7 Nd 6 . (a) Total pair distribution function (PDF) with natural composition. (b) Measurements with different nickel isotopes (above) and nickel differential pair distribution function (DPDF) (below). (c More
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Published: 09 June 2014
Fig. 27 ELTA predicted power density distribution as a function of time and radial position for induction hardening tube ID. Source: Ref 13 More
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
... of how many different orientations the measurement need to be performed for a reliable estimate of S V , because the answer depends on the morphological orientation distribution function of the surfaces of interest (which is usually unknown). During the recent years, a practical and efficient solution...
Book Chapter

By H.W. Sizek
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0003984
EISBN: 978-1-62708-185-6
... Cogging/Forging In spite of the many advantages, radial forging does have some limitations. These limitations are a function of the equipment and the type of material being forged. Because of the complexity of the radial forging machines, the displacements of the rams are limited to a specific range...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003387
EISBN: 978-1-62708-195-5
... the need for radial stresses to balance the vertical components of the tangential loads applied to the edges ( Fig. 5b ). For this simple case, the magnitude of the radial stress can be calculated by assuming some distribution (uniform, for example), integrating the vertical component of the radial stress...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0005693
EISBN: 978-1-62708-178-8
... spectroscopy PGAA prompt gamma-ray activation analysis PIXE particle-induced x-ray emission RBS Rutherford backscattering spectrometry RDF radial distribution function (analysis) RHEED reflection high-energy electron diffraction SAD selected-area diffraction...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005506
EISBN: 978-1-62708-197-9
... and in the service operating conditions of rotating turbine engine components. Here, one can observe the additional complexity of a two-dimensional stress state compared to the previous example. The stress profiles are a function of radial position only and are shown on the right side of the figure. The radial...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005882
EISBN: 978-1-62708-167-2
... as a function of time and radial position are shown in Fig. 24 . The power distributions are mapped into DANTE transient models. The predicted temperature, hoop stress, and austenite fraction distribution contours at the end of the 18 s heating time are shown in Fig. 25 . Fig. 24 DANTE modeling...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005435
EISBN: 978-1-62708-196-2
... is required to nucleate slip. When this nucleation condition is met, a radial plastic-zone size can be calculated by expressing the matrix strength, τ ¯ f , as a function of γ ˙ . The latter function is denoted by the schematic solid curve in Fig. 11 . Here, region I ( τ μ...
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005789
EISBN: 978-1-62708-165-8
..., and the quenchant temperature is also measured, because it is needed in Eq 3 . These measured temperature curves in time are the only input data. For efficiency reasons, the probe is treated as an infinite cylinder with radially symmetric temperature distribution. This leads to a one-dimensional (1-D) heat...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006667
EISBN: 978-1-62708-213-6
... space. From the resulting radial distribution function, G( r ), direct measurement of the bond lengths and coordination environments (e.g., number of nearest neighbors and respective bonds) can be extracted for each of the components of the system. One big advantage of PDF analysis is that it can...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003291
EISBN: 978-1-62708-176-4
... and strain rates: (Eq 13) ε ˙ 1 + ε ˙ 2 + ε ˙ 3 = 0 Elastic Stress Distribution in a Tube The equations for the elastic stress distribution for hoop, axial, and radial stress ( Ref 6 ) were first published by Lame in 1852 and can be expressed as: (Eq 14) σ h...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006426
EISBN: 978-1-62708-192-4
... low friction characteristics compared to plain bearings or simple sliding bearings (usually 1 to 2 orders of magnitude less). Fig. 1 Radial rolling-element bearings. (a) Cutaway view of radial ball bearing showing inner ring, outer ring, balls, and cage assembly. (b) Tapered roller bearing...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005893
EISBN: 978-1-62708-167-2
... the temperature field can be influenced to achieve the desired goal. Therefore, temperature distribution is defined as an output controlled function of the process. It is important to recognize that a temperature field varies with time and spatial coordinates within the workpiece volume. Temperature...
Book Chapter

By R. Kopp, J. Schulz
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005132
EISBN: 978-1-62708-186-3
...-surface layers. ε r , radial strain; σ rs , radial stress. Source: Ref 4 The plastic elongation of the component surface implies elastic strains in the other layers of the material, leading to a convex bending of the peened material. The residual-stress distribution produced by this convex...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001764
EISBN: 978-1-62708-178-8
... in the radial structure function of such disordered systems as glasses and isolated impurities. However, multiple scattering in EXAFS is important when an inner-shell atom shadows an outer-shell atom, as was first realized when the fourth shell in the copper EXAFS was seen to have an anomalously large...