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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
... 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...
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.
Image
Published: 01 December 2008
Book Chapter
Thermodynamics and Phase Diagrams
Available to PurchaseBook: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006223
EISBN: 978-1-62708-163-4
... of eutectic and binary phase diagrams from Gibbs free-energy curves. binary solution eutectic phase diagram Gibbs free energy Gibbs free-energy curves phase diagram single-component unary system thermodynamics IN RECENT YEARS, the application of phase diagram information obtained from...
Abstract
Thermodynamic descriptions have become available for a large number of alloy systems and allow the calculation of the phase diagrams of multicomponent alloys. This article begins with a discussion on three laws of thermodynamics: the Law of Conservation of Energy, the Second Law of Thermodynamics, and the Third Law of Thermodynamics. It informs that for transformations that occur at a constant temperature and pressure, the relative stability of the system is determined by its Gibbs free energy. The article describes the Gibbs free energy of a single-component unary system and the Gibbs free energy of a binary solution. It schematically illustrates the structure of a binary solid solution with interatomic bonds and shows how the equilibrium state of an alloy can be obtained from the free-energy curves at a given temperature. The article concludes with information on the construction of eutectic and binary phase diagrams from Gibbs free-energy curves.
Book Chapter
Introduction to Ternary Phase Diagrams
Available to PurchaseBook: 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
... stabilization (iron-chromium) and austenite stabilization (iron-nickel). austenite stabilization binary iron phase diagrams carbon-chromium-iron isopleth eutectic system ferrite stabilization Gibbs triangle isopleth plots isothermal plots liquidus plots peritectic system phase equilibrium...
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).
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003085
EISBN: 978-1-62708-199-3
...; three-phase lines become volumes; and four-phase points, while not shown in Fig. 9 , can exist as an invariant plane. The composition of a binary eutectic liquid, which is a point in a two-component system, becomes a line in a ternary diagram, as shown in Fig. 9 . Fig. 9 Ternary phase diagram...
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.
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
... the Gibbs energy to the phase diagram, as illustrated in Fig. 1 . The Gibbs energy functions of three phases, liquid (l), α, and β, are plotted as functions of the concentration, x B ( x A + x B = 1 for a binary system) for various fixed temperatures. The minimum of the Gibbs energy is given...
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.
Book Chapter
Eutectic Alloy Systems
Available to PurchaseBook: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006225
EISBN: 978-1-62708-163-4
... based on eutectic compositions for various reasons, including the minimization of both energy input and coring, or alloy segregation. For example, the iron-carbon system has a eutectic at composition of 4.3 wt% C, which is the basis of cast irons. Many other binary systems have phase diagrams...
Abstract
This article begins with a schematic illustration of a eutectic system in which the two components of the system have the same crystal structure. Eutectic systems form when alloying additions cause a lowering of the liquidus lines from both melting points of the pure elements. The article describes the aluminum-silicon eutectic system and the lead-tin eutectic system. It discusses eutectic morphologies in terms of lamellar and fibrous eutectics, regular and irregular eutectics, and the interpretation of eutectic microstructures. The article examines the solidification of a binary alloy of exactly eutectic composition. It concludes with a discussion on terminal solid solutions.
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Binary phase diagram, illustrating the effect of cooling rate on an alloy l...
Available to PurchasePublished: 01 December 1998
Fig. 21 Binary phase diagram, illustrating the effect of cooling rate on an alloy lying outside the equilibrium eutectic-transformation line. Rapid solidification into a terminal phase field can result in some eutectic structure being formed; homogenization at temperatures in the single-phase
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Schematic binary phase diagram illustrating the effect of cooling rate on a...
Available to Purchase
in Physical Metallurgy Concepts in Interpretation of Microstructures
> Metallography and Microstructures
Published: 01 December 2004
Fig. 11 Schematic binary phase diagram illustrating the effect of cooling rate on an alloy lying outside the equilibrium eutectic transformation line. Rapid solidification from S x to a metastable position (S*) can result in some eutectic structure being formed, because the last liquid
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Book Chapter
Solidification of Eutectic Alloys: Aluminum-Silicon
Available to PurchaseBook: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005212
EISBN: 978-1-62708-187-0
... work of Lu and Hellawell( Ref 3 , 4 ). The Aluminum-Silicon Equilibrium Phase Diagram Figure 1 shows the aluminum-silicon equilibrium phase diagram ( Ref 5 ). It is a simple binary eutectic with limited solubility of aluminum in silicon and limited solubility of silicon in aluminum...
Abstract
This article illustrates the equilibrium phase diagram for an aluminum-silicon system, showing the metastable extensions of liquidus and solidus lines. It describes the classification and microstructure of the aluminum-silicon eutectic. The article presents the theories of solidification and chemical modification of the aluminum-silicon eutectic.
Book Chapter
Introduction to Phase Diagrams
Available to PurchaseBook: 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
... (liquidus, solidus, and solvus lines in the binary diagrams) become surfaces; single- and two-phase areas become volumes; three-phase lines become volumes; and four-phase points, while not shown in Fig. 6 , can exist as an invariant plane. The composition of a binary eutectic liquid, which is a point...
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.
Image
Schematic binary phase diagrams with invariant points. (a) Hypothetical dia...
Available to PurchasePublished: 27 April 2016
Fig. 2 Schematic binary phase diagrams with invariant points. (a) Hypothetical diagram with miscibility gap in the solid that touches the solidus curve at invariant point P ; an actual diagram of this type probably does not exist. (b) and (c) Typical eutectic diagrams for (b) components
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Image
Binary phase diagrams with invariant points. (a) Hypothetical diagram of th...
Available to PurchasePublished: 01 December 1998
Fig. 6 Binary phase diagrams with invariant points. (a) Hypothetical diagram of the type of shown in Fig. 5 , except that the miscibility gap in the solid touches the solidus curve at invariant point P ; an actual diagram of this type probably does not exist. (b) and (c) Typical eutectic
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Image
Idealized binary phase diagram for solid-state activated sintering. The mix...
Available to PurchasePublished: 30 September 2015
Fig. 37 Idealized binary phase diagram for solid-state activated sintering. The mixture has a composition in a two-phase region at the sintering temperature. The activator A is nearly insoluble in the base B, but B is highly soluble in A. The phase diagram is rather similar
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Book Chapter
Phase Equilibria and Phase Diagram Modeling
Available to PurchaseSeries: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005402
EISBN: 978-1-62708-196-2
... Abstract A phase diagram is a graphical representation of the phase equilibria of materials in terms of temperature, composition, and pressure. This article provides an overview on the background of phase diagram calculation software. It presents an algorithm to calculate binary stable phase...
Abstract
A phase diagram is a graphical representation of the phase equilibria of materials in terms of temperature, composition, and pressure. This article provides an overview on the background of phase diagram calculation software. It presents an algorithm to calculate binary stable phase equilibria. The article summarizes a rapid method to obtain a thermodynamic description of a multicomponent system. It also provides information on thermodynamically calculated phase diagrams.
Book Chapter
Physical Metallurgy Concepts in Interpretation of Microstructures
Available to PurchaseSeries: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003723
EISBN: 978-1-62708-177-1
... system ( Fig. 4 ). For example, one common type of binary phase diagram is a eutectic system, where the term eutectic is taken from the Greek for easy melting. Figure 6 shows a generic eutectic phase diagram. Eutectic systems form when alloying additions cause a lowering of the liquidus lines from...
Abstract
This article introduces basic physical metallurgy concepts that may be useful for understanding and interpreting variations in metallographic features and how processing affects microstructure. It presents some basic concepts in structure-property relationships. The article describes the use of equilibrium binary phase diagrams as a tool in the interpretation of microstructures. It reviews an account of the two types of solid-state phase transformations: isothermal and athermal. The article discusses isothermal transformation and continuous cooling transformation diagrams which are useful in determining the conditions for proper heat treatment (solid-state transformation) of metals and alloys. The influence of the mechanisms of phase nucleation and growth on the morphology, size, and distribution of grains and second phases is also described.
Book Chapter
Physical Metallurgy of Aluminum Alloys
Available to PurchaseSeries: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003124
EISBN: 978-1-62708-199-3
... to determine the maximum levels for ancillary element additions of certain elements to prevent the crystallization of coarse primary particles. The most important liquid-to-solid transformations for aluminum alloys are the eutectic and the peritectic. Examples of phase diagrams illustrating eutectic...
Abstract
The physical and mechanical properties of aluminum alloy can be improved by strengthening mechanisms such as strain hardening used for non-heat treatable aluminum alloy and precipitation hardening used for heat treatable aluminum alloy. This article focuses on the effect of strengthening mechanisms on the physical and mechanical properties of non-heat treatable and heat treatable aluminum alloys. It describes the use of the aluminum alloy phase diagram in determining the melting temperature, solidification path, equilibrium phases, and explains the effect of alloying element in phase formation.
Image
Use of Gibbs energy curves to construct a binary phase diagram of the eutec...
Available to PurchasePublished: 01 December 1998
Fig. 14 Use of Gibbs energy curves to construct a binary phase diagram of the eutectic type. Source: adapted from Ref 3
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Image
Use of Gibbs energy curves to construct a binary phase diagram of the eutec...
Available to PurchasePublished: 27 April 2016
Fig. 26 Use of Gibbs energy curves to construct a binary phase diagram of the eutectic type. Source: Ref 5 as published in Ref 3
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Image
Binary phase diagrams. (a) Complete solid solubility. (b) Partial solid sol...
Available to Purchase
in The Liquid State and Principles of Solidification of Cast Iron
> Cast Iron Science and Technology
Published: 31 August 2017
Fig. 15 Binary phase diagrams. (a) Complete solid solubility. (b) Partial solid solubility with eutectic reaction. L, liquid solution; α and β, solid solutions
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