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Published: 31 October 2011
Fig. 24 Example of solute redistribution calculations for equilibrium and nonequilibrium conditions. (a) Hypothetical phase diagram. (b) Variation in liquid composition for C o = 2 wt%. (c) Variation in liquid composition for C o = 5 wt%. (d) Variation in solid composition for C o = 2 More
Image
Published: 31 October 2011
Fig. 25 Volume element for modeling solute redistribution during cellular solidification. The solidification process can be represented by the enclosed region shown and noting that solidification starts at the cell core (where f s = 0) and finishes at the cell boundary when two cells meet More
Image
Published: 31 October 2011
Fig. 27 Comparison of solute redistribution behavior. (a) Carbon in a nickel-base superalloy calculated using the lever law, Scheil equation, and Clyne-Kurz model. (b) Titanium in an Fe-10Al-5Cr-1.5Ti-0.4C alloy with varying cooling rates (calculated using the Kobayashi model) compared More
Book Chapter

By Harold D. Brody
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005215
EISBN: 978-1-62708-187-0
... Abstract This article discusses the two extremes of solute redistribution, equilibrium solidification and nonequilibrium Gulliver-Scheil solidification, for which solid redistribution of solute within the primary solid phase is the distinguishing parameter. The process and material parameters...
Book Chapter

By John N. DuPont
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005609
EISBN: 978-1-62708-174-0
... Abstract This article reviews the fundamental solidification concepts for understanding microstructural evolution in fusion welds. The common concepts, namely, nucleation, competitive grain growth, constitutional supercooling, solute redistribution, and rapid solidification, depend...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005237
EISBN: 978-1-62708-187-0
... in Whitehall, Michigan, for performing the simulations of the VAR ingot. References References 1. Beckermann C. , Macrosegregation , Casting , Vol 15 , ASM Handbook , ASM International , 2008 2. Brody H.D. and Flemings M.C. , Solute Redistribution in Dendritic...
Book Chapter

By Rohit Trivedi, Erin Sunseri
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005210
EISBN: 978-1-62708-187-0
... patterns in which the branched structure evolves with primary, secondary, tertiary, and eventually higher-order branches. Such a branched structure forms because it can effectively allow rapid dissipation of the latent heat of fusion as well as any solute redistribution required for growth due...
Book Chapter

By Christoph Beckermann
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005216
EISBN: 978-1-62708-187-0
... of macrosegregation. Such macrosegregation can be best understood by considering the local solute redistribution equation (LSRE) derived by Flemings and coworkers ( Ref 1 , 2 , 3 ). This equation is based on a solute balance on a lume element inside the mushy zone, as illustrated in Fig. 2 . As in a standard...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005525
EISBN: 978-1-62708-197-9
... the redistribution of solute by interacting with the flow in the mushy zone and carrying the free-floating solid grains, is only weakly controlled by the ingot size or the superheat ( Ref 54 ): (Eq 45) u b ~ R 2 7 Δ T 3 7 Because u b is such a weak function of R and Δ T...
Series: ASM Handbook
Volume: 2A
Publisher: ASM International
Published: 30 November 2018
DOI: 10.31399/asm.hb.v02a.a0006496
EISBN: 978-1-62708-207-5
... in commercial aluminum casting processes, and the B-F model for segregation and diffusion of solute in the solid describes the microsegregation. Macrosegregation Macrosegregation is the redistribution of solute elements on a larger scale. In net shape aluminum alloy castings, this is caused by the motion...
Book Chapter

By Martin E. Glicksman
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005228
EISBN: 978-1-62708-187-0
... obtained with MEPHISTO allowed specific evaluation of the effects of convection on solute redistribution during the directional solidification of alloys and the observation of transitions in interface morphology from planar to cellular. By using three identical samples that were alternately melted...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005218
EISBN: 978-1-62708-187-0
... of solute redistribution and boundary layer propagation ( Ref 8 , 9 ). The spatial resolutions available, Δ r ∼100 μm, prevented detailed studies of solid-liquid interface morphologies, but the resolution in x-ray absorption contrast was adequate to verify proximity to Scheil-Gulliver conditions as well...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003729
EISBN: 978-1-62708-177-1
.... A more fundamental approach ( Ref 20 ) includes time-dependent calculations for temperature distribution, solute redistribution in the liquid and solid phases, curvature, and growth anisotropy. Solidification velocity is calculated from the transport equations and not with analytical models...
Book Chapter

By Sujoy Krishna Chaudhury
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005229
EISBN: 978-1-62708-187-0
... HOMOGENIZATION, in a broad sense, refers to processes designed to achieve uniform distribution of solutes or phases in a given matrix. During solidification of a melt, microsegregation occurs due to the redistribution of solutes as solute is rejected into the liquid. Uniform distribution of the solute elements...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006300
EISBN: 978-1-62708-179-5
... the atomic distance. This leads to the conclusion that austenite transformation proceeds without redistribution of substitutional solutes—in other words, that ferrite inherits the solute content of the parent austenite. These so-called para-equilibrium conditions have been well studied in steels ( Ref 12...
Book Chapter

By M.J. Perricone
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003735
EISBN: 978-1-62708-177-1
... and solute redistribution. Fig. 1 Growth of massive ferrite in pure iron, illustrating the crossing of prior-γ/γ grain boundaries outlined by surface grooving. Reprinted with permission from Ref 3 Fig. 2 The two-plateau behavior of the transformation temperature as a function...
Book Chapter

By John G. Speer, Robert J. Gaster
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005786
EISBN: 978-1-62708-165-8
... with coarse alloy-enriched carbides represent the most sluggish austenitization kinetics, because the formation of homogeneous austenite requires dissolution of coarse carbides, involving redistribution of substitutional solutes, and carbon transport into the large volume previously consisting of carbon...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005501
EISBN: 978-1-62708-197-9
... a large number of prototype binary phase diagrams with different topological features using ideal and regular solution models. Since then, many researchers began to incorporate phase equilibrium data to evaluate the thermodynamic properties of alloys. It was not until the late 1980s that a number of phase...
Book Chapter

By Jonathan A. Dantzig
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005208
EISBN: 978-1-62708-187-0
... of Solidification Phenomena in Al-Cu Alloys , Mater. Sci. Forum , Vol 508 , 2006 , p 69 – 75 6. Bower T.F. , Brody H.D. , and Flemings M.C. , Measurements of Solute Redistribution in Dendritic Solidification , Trans. AIME , Vol 236 , 1966 , p 624 7. Kurz W.F. and Fisher...
Book Chapter

By Jonathan A. Dantzig
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005437
EISBN: 978-1-62708-196-2
... Phenomena in Al-Cu Alloys , Mater. Sci. Forum , Vol 508 , 2006 , p 69 – 75 6. Bower T.F. , Brody H.D. , and Flemings M.C. , Measurements of Solute Redistribution in Dendritic Solidification , Trans. AIME , Vol 236 , 1966 , p 624 7. Kurz W.F. and Fisher D.J...