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equilibrium freezing
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Image
Published: 27 April 2016
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006226
EISBN: 978-1-62708-163-4
... Abstract Similar to the eutectic group of invariant transformations is a group of peritectic reactions, in which a liquid and solid phase decomposes into a solid phase on cooling through the peritectic isotherm. This article describes the equilibrium freezing and nonequilibrium freezing...
Abstract
Similar to the eutectic group of invariant transformations is a group of peritectic reactions, in which a liquid and solid phase decomposes into a solid phase on cooling through the peritectic isotherm. This article describes the equilibrium freezing and nonequilibrium freezing of peritectic alloys. It informs that peritectic reactions or transformations are very common in the solidification of metals. The article discusses the formation of peritectic structures that can occur by three mechanisms: peritectic reaction, peritectic transformation, and direct precipitation of beta from the melt. It provides a discussion on the peritectic structures in iron-base alloys and concludes with information on multicomponent systems.
Image
Published: 01 December 1998
Fig. 15 Portion of a binary phase diagram containing a two-phase liquid-plus-solid field illustrating (a) application of the lever rule to (b) equilibrium freezing, (c) nonequilibrium freezing, and (d) heating of a homogenized sample. Source: Ref 1
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Image
Published: 01 December 2008
Fig. 6 Schematic of eutectic phase diagram showing the solidification sequence of alloys 1, 2, and 3. Points “A 1 ,” “A 2 ,” and “A 3 ” are equilibrium freezing points for alloys 1, 2, and 3, respectively. Point “E” is the eutectic point. Point “B” is the actual temperature of initiation
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Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006231
EISBN: 978-1-62708-163-4
... freezes. The final microstructure contains α, β, and γ. Isopleths are quite valuable in showing the phases that are present during equilibrium cooling and heating. They also show the temperatures at which the various phase changes occur. Fig. 5 Isopleth through hypothetical ternary phase diagram...
Abstract
This article describes the liquidus plots, isothermal plots, and isopleth plots used for a hypothetical ternary phase space diagram. It discusses the single-phase boundary (SPB) line and zero-phase fraction (ZPF) line for carbon-chromium-iron isopleth. The article illustrates the Gibbs triangle for plotting ternary composition and discusses the ternary three-phase phase diagrams by using tie triangles. It describes the peritectic system with three-phase equilibrium and ternary four-phase equilibrium. The article presents representative binary iron phase diagrams, showing ferrite stabilization (iron-chromium) and austenite stabilization (iron-nickel).
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
...), describes the difference in composition for solute i of the liquid, C L i * , and solid, C S i * , phases that would be at equilibrium at a temperature within the freezing range as given by the equilibrium tie line. (See the article “Thermodynamics and Phase Diagrams...
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 that control microsegregation are discussed in relation to the manifestations of microsegregation in simple and then increasingly complex alloy systems. The measurement and kinetics of microsegregation are discussed for the binary isomorphous systems: titanium-molybdenum; binary eutectic systems: aluminum-copper and aluminum-silicon; binary peritectic systems: copper-zinc; multicomponent eutectic systems: Al-Si-Cu-Mg; and for systems with both eutectic and peritectic reactions: Fe-C-Cr and nickel-base superalloy.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006224
EISBN: 978-1-62708-163-4
... and solid coexist in equilibrium. Fig. 3 Phase diagram construction from cooling curves Very simple phase diagrams of this type can be constructed by using the appropriate points obtained from time-temperature cooling curves, which indicate where freezing began and where it was complete...
Abstract
The term isomorphous refers to metals that are completely miscible in each other in both the liquid and solid states. This article discusses the construction of simple phase diagrams by using the appropriate points obtained from time-temperature cooling curves. It describes the two methods to determine a phase diagram with equilibrated alloys: the static method and the dynamic method. The article illustrates the construction of phase boundaries according to the Gibbs' phase rule and describes the calculation methods that allow the prediction of the phases present, the chemical compositions of the phases present, and the amounts of phases present. Phase diagrams provide useful information for understanding alloy solidification. The article provides two simple models that can describe the limiting cases of solidification behavior.
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003085
EISBN: 978-1-62708-199-3
... representing the temperatures at which the various alloys finish freezing on cooling or begin melting on heating. The phases in equilibrium across the two-phase field in Fig. 3 (the liquid and solid solutions) are called conjugate phases. Fig. 3 Binary phase diagram showing miscibility in both...
Abstract
Alloy phase diagrams are useful for the development, fabrication, design and control of heat treatment procedures that will produce the required mechanical, physical, and chemical properties of new alloys. They are also useful in solving problems that arise in their performance in commercial applications, thus improving product predictability. This article describes different equilibrium phase diagrams (unary, binary, and ternary) and microstructures, description terms, and general principles of reading alloy phase diagrams. Further, the article discusses plotting schemes; areas in a phase diagram; and the position and shapes of the points, lines, surfaces, and intersections, which are controlled by thermodynamic principles and properties of all phases that comprise the system. It also illustrates the application of the stated principles with suitable phase diagrams.
Image
in Physical Metallurgy Concepts in Interpretation of Microstructures
> Metallography and Microstructures
Published: 01 December 2004
Fig. 4 Freezing curve of an idealized solid-solution alloy in a binary isomorphous system. (a) The solid-solution phase (α) is a homogeneous solid at all compositions in this idealized isomorphous system. (b) When the alloy solidifies under equilibrium conditions, phase compositions can
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Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005226
EISBN: 978-1-62708-187-0
.... Interfacial Nonequilibrium For extremely rapid liquid-solid interface freezing rates (1 m/s velocity, or 3 ft/s), the local interfacial equilibrium assumption breaks down. Solute can be trapped into the freezing solid at levels exceeding the equilibrium value of solid for the corresponding liquid...
Abstract
Rapid solidification is a tool for modifying the microstructure of alloys that are obtained by ordinary casting. This article describes the fundamentals of the four microstructural changes, namely, microsegregation, identity of the primary phase, identity of the secondary phase, and the formation of noncrystalline phases. It considers three factors to understand the fundamentals of these changes: heat flow, thermodynamic constraints/conditions at the liquid-solid interfaces, and diffusional kinetics/microsegregation. These factors are described in detail.
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003171
EISBN: 978-1-62708-199-3
... metals or semimetals in another metal. As such, they solidify over a range of temperatures. The temperature range over which solidification takes place under equilibrium conditions is found from the phase diagram. The temperature at which solidification begins is called the liquidus temperature...
Abstract
Solidification is a comprehensive process of transformation of the melt of metals and alloys into a solid piece, involving formation of dendrites, segregation which involves change in composition, zone formation in final structure of the casting, and microporosity formation during shrinkage. This article describes the imperfections in the solidification process including porosity, inclusions, oxide films, secondary phases, hot tears, and metal penetration. It talks about the purpose of the gating system and the risering system in the casting process.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005211
EISBN: 978-1-62708-187-0
... for nucleation and have a large slope for the metastable liquidus line ( Ref 3 ). Fig. 6 Schematic of eutectic phase diagram showing the solidification sequence of alloys 1, 2, and 3. Points “A 1 ,” “A 2 ,” and “A 3 ” are equilibrium freezing points for alloys 1, 2, and 3, respectively. Point “E...
Abstract
This article presents the binary eutectic phase diagram to understand the various structures that evolve in a binary eutectic system during solidification. It describes the various classifications and solidification principles of the eutectic structures. The formation of halos in eutectic microstructures of most alloy systems is also discussed.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005206
EISBN: 978-1-62708-187-0
... freezing temperature and therefore represents the most extreme case of solidification with microsegregation. An alloy that solidified following the Scheil path is not in equilibrium after solidification. An expression similar to Eq 15 can be obtained for the Scheil path by equating the solute...
Abstract
This article discusses the application of thermodynamic in the form of phase diagrams for visually representing the state of a material and for understanding the solidification of alloys. It presents the derivation of the relationship between the Gibbs energy functions and phase diagrams, which forms the basis for the calculation of phase diagrams (CALPHAD) method. The article also discusses the calculation of phase diagrams and solidification by using the Scheil-Gulliver equation.
Image
in Physical Metallurgy Concepts in Interpretation of Microstructures
> Metallography and Microstructures
Published: 01 December 2004
, and the maximum solid solubility of element A in the lattice of element B is defined by point b . The methods of determining the equilibrium temperature ranges for solidification, fractions of phases, and compositions of phases are all similar to those illustrated for the isomorphous systems. The first element
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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
... 12 ). Local equilibrium does not appear to apply at extremely fast freezing rates. Simple calculations are demonstrated by using a slightly different form of the Scheil equation: (Eq 2) C l = C o ( 1 − f s ) k − 1 and the equation derived by Brody...
Abstract
Castability is a complex characteristic that depends on both the intrinsic fluid properties of the molten metal and the manner in which the particular alloy solidifies. This article discusses the practical aspects of solidification important to aluminum foundrymen. The primary focus is on the chemical segregation that occurs during freezing, because it determines the castability of the alloy. The article describes the two types of segregation, namely, microsegregation and macrosegregation. It discusses the effect of freezing range on castability of an alloy. The article lists the freezing range of a number of important alloys. It concludes with a discussion on castability of 2xx, 3xx, 4xx, 5xx, and 7xx alloys.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006221
EISBN: 978-1-62708-163-4
... Five Quinary Six Sexinary Seven Septenary Eight Octanary Nine Nonary Ten Decinary Phase diagrams are useful graphical representations that show the phases in equilibrium present in the system at various specified compositions, temperatures, and pressures. It should...
Abstract
The application of phase diagrams is instrumental in solid-state transformations for the processing and heat treatment of alloys. A unary phase diagram plots the phase changes of one element as a function of temperature and pressure. This article discusses the unary system that can exist as a solid, liquid, and/or gas, depending on the specific combination of temperature and pressure. It describes the accomplishment of conversion between weight percentage and atomic percentage in a binary system by the use of formulas. The article analyzes the effects of alloying on melting/solidification and on solid-state transformations. It explains the construction of phase diagrams by the Gibbs phase rule and the Lever rule. The article also reviews the various types of alloy systems that involve solid-state transformations. It concludes with information on the sources of phase diagram.
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001338
EISBN: 978-1-62708-173-3
... in Fig. 1 , which shows the behavior of a pure (single component) material. Above the freezing temperature, T f , the liquid phase has the lower free energy and is therefore stable, but below T f , the solid is the stable phase. At T f , both phases are in equilibrium, that is, G l = G s...
Abstract
The process of solidification is the same in all cases, whether it is the freezing of water on a windshield or in a freezer or the solidification of metal in a casting or in the weld that joins two solids. This article discusses the solidification of alloy welds and provides a comparison of casting and welding solidification. The constitutional supercooling model for describing weld solidification is presented because it qualitatively describes the evolution of different weld microstructures. The article describes the welding rate effect on weld pool shape and microstructure, as well as the nonequilibrium effects.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005222
EISBN: 978-1-62708-187-0
... on solidification for these metals is in the range of 3.2 to 7.2%. The solidification shrinkage for the less closely packed body-centered cubic lattice is in the range of 2 to 3.2%. The exceptions to this general pattern are those materials that expand on freezing. These include cerium, silicon, and bismuth...
Abstract
This article provides a detailed discussion on the causes of formation of shrinkage porosity and gas porosity along with the methods involved in eliminating them. It discusses the process of porosity formation and the factors affecting porosity formation, including alloy composition, external pressure, and cooling conditions.
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006319
EISBN: 978-1-62708-179-5
... precipitated, the transformation stops and a relatively constant proportion of ferrite and reacted austenite is found over a period. This cessation of ferrite formation is an incomplete reaction phenomenon that prevents the equilibrium phases from reaching minimum energies. The explanation of this phenomenon...
Abstract
The transformation of austenite of cast irons represents a more complex and less studied subject. This article discusses the general features of the decomposition of austenite into bainite. It describes the heat treatment cycles of austempered cast iron microstructure. The article reviews several factors, such as presence of graphite and austenite grain size, which affect the transformation rate of austenite during austempering of free-graphite cast irons.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006222
EISBN: 978-1-62708-163-4
... not form a homogeneous solid under equilibrium conditions; rather, they form two different solids, one rich in iron and the other rich in copper. To distinguish between these two solids, it is conventional to label them with the first two letters of the Greek alphabet, α and β. Each of the distinguishable...
Abstract
This article begins with the one-component, or unary, diagram for magnesium. The diagram shows what phases are present as a function of the temperature and pressure. When two metals are mixed in the liquid state to produce a solution, the resulting alloy is called a binary alloy. The article describes the various types of solid solutions such as interstitial solid solutions and substitutional solid solutions. Free energy is important because it determines whether or not a phase transformation is thermodynamically possible. The article discusses the thermodynamics of phase transformations and free energy, as well as kinetics of phase transformations. It concludes with a description of solid-state phase transformations that occur when one or more parent phases, usually on cooling, produces a phase or phases.
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