Skip Nav Destination
Close Modal
By
Jacques Lacaze
By
H. Fredriksson
By
John Morral, Frederick Meisenkothen
Search Results for
tie lines
Update search
Filter
- Title
- Authors
- Author Affiliations
- Full Text
- Abstract
- Keywords
- DOI
- ISBN
- EISBN
- Issue
- ISSN
- EISSN
- Volume
- References
Filter
- Title
- Authors
- Author Affiliations
- Full Text
- Abstract
- Keywords
- DOI
- ISBN
- EISBN
- Issue
- ISSN
- EISSN
- Volume
- References
Filter
- Title
- Authors
- Author Affiliations
- Full Text
- Abstract
- Keywords
- DOI
- ISBN
- EISBN
- Issue
- ISSN
- EISSN
- Volume
- References
Filter
- Title
- Authors
- Author Affiliations
- Full Text
- Abstract
- Keywords
- DOI
- ISBN
- EISBN
- Issue
- ISSN
- EISSN
- Volume
- References
Filter
- Title
- Authors
- Author Affiliations
- Full Text
- Abstract
- Keywords
- DOI
- ISBN
- EISBN
- Issue
- ISSN
- EISSN
- Volume
- References
Filter
- Title
- Authors
- Author Affiliations
- Full Text
- Abstract
- Keywords
- DOI
- ISBN
- EISBN
- Issue
- ISSN
- EISSN
- Volume
- References
NARROW
Format
Topics
Book Series
Date
Availability
1-20 of 222
Search Results for tie lines
Follow your search
Access your saved searches in your account
Would you like to receive an alert when new items match your search?
1
Sort by
Image
Example of a calculated ternary phase diagram with tie lines and invariant ...
Available to PurchasePublished: 31 October 2011
Fig. 10 Example of a calculated ternary phase diagram with tie lines and invariant triangles (three-phase equilibrium) in an Fe-Cr-Ni system at 1700 K. fcc, face-centered cubic; bcc, body-centered cubic
More
Image
Example of a calculated ternary phase diagram with tie lines and invariant ...
Available to PurchasePublished: 01 November 2010
Fig. 10 Example of a calculated ternary phase diagram with tie lines and invariant triangles (three-phase equilibrium) in an Fe-Cr-Ni system at 1700 K. fcc, face-centered cubic; bcc, body-centered cubic
More
Image
Published: 27 April 2016
Image
in High-Temperature Superconductors for Wires and Tapes[1]
> Properties and Selection: Nonferrous Alloys and Special-Purpose Materials
Published: 01 January 1990
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
... to vary. These plots show how the phases and structures change when the temperature varies and when two of the elements present change their respective amounts. Tie lines usually do not lie in the plane of a vertical section and cannot be used to obtain amounts and compositions. An isopleth through...
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).
Image
Alternative systems for showing phase relationships in multiphase regions o...
Available to PurchasePublished: 01 December 1998
Fig. 16 Alternative systems for showing phase relationships in multiphase regions of ternary-diagram isothermal sections. (a) Tie lines. (b) Phase-fraction lines. Source: Ref 4
More
Image
Illustration that the average composition in a two-phase region determines ...
Available to Purchase
in Modeling Diffusion in Binary and Multicomponent Alloys
> Fundamentals of Modeling for Metals Processing
Published: 01 December 2009
Fig. 5 Illustration that the average composition in a two-phase region determines the composition of each phase via the tie-line ends
More
Image
(a) Isopleth Fe-C section at 3 mass% Si of the stable Fe-C-Si diagram. (b) ...
Available to PurchasePublished: 31 August 2017
Fig. 1 (a) Isopleth Fe-C section at 3 mass% Si of the stable Fe-C-Si diagram. (b) Isothermal section at 810 °C (1490 °F) showing the various fields of equilibrium and the tie lines. Calculations performed with Fe-alloys Database (TCFE8) from Thermo-Calc Software AB.
More
Image
(a) Isopleth Fe-C section at 3 mass% Si of the metastable Fe-C-Si diagram. ...
Available to PurchasePublished: 31 August 2017
Fig. 2 (a) Isopleth Fe-C section at 3 mass% Si of the metastable Fe-C-Si diagram. (b) Isothermal section at 790 °C (1450 °F) showing the various fields of equilibrium and the tie lines. Calculations performed with Fe-alloys Database (TCFE8) from Thermo-Calc Software AB.
More
Image
Isothermal sections of the Fe-C-Si phase diagram at: (a) 1350 °C (2460 °F),...
Available to PurchasePublished: 31 August 2017
Fig. 15 Isothermal sections of the Fe-C-Si phase diagram at: (a) 1350 °C (2460 °F), (b) 1250 °C (2280 °F), (c) 1160 °C (2120 °F), and (d) 1100 °C (2010 °F), with tie lines drawn in the two-phase domains. The various phases that may be present are liquid ( L ), ferrite (α), austenite (γ
More
Book Chapter
Au (Gold) Ternary Alloy 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.a0006234
EISBN: 978-1-62708-163-4
... Boundary of Miscibility Gap at 700 °C, with Tie Lines Source: A. Prince, G.V. Raynor, and D.S. Evans, Phase Diagrams of Ternary Gold Alloys , The Institute of Metals, London, 1990 ( Ref 1 ) Au-Sn-Te Liquidus Projection Source: B. Legendre, R. Céolin, and C. Souleau, No 464.-Le système...
Abstract
This article is a compilation of ternary alloy phase diagrams for which gold (Au) is the first-named element in the ternary system. The diagrams are presented with element compositions in weight percent. The article includes five phase diagrams: Au-Cu-Ni boundaries of solid-state miscibility gap; Au-Cu-Ni liquidus projection; Au-Cu-Ni miscibility gap at 400 degrees centigrade; Au-Cu-Ni miscibility gap at 700 degrees centigrade; and Au-Sn-Te liquidus projection.
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003085
EISBN: 978-1-62708-199-3
..., the compositions of the two phases in equilibrium at temperature T 3 are C 1 and C 2 . The horizontal isothermal line connecting points 1 and 2, where these compositions intersect temperature T 3 , is called a tie line. Similar tie lines connect the coexisting phases throughout all two-phase fields...
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 Chapter
The Austenite-to-Pearlite/Ferrite Transformation
Available to PurchaseSeries: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006300
EISBN: 978-1-62708-179-5
... of equilibrium and the tie lines. Calculations performed with Fe-alloys Database (TCFE8) from Thermo-Calc Software AB. Figure 1(b) shows an isothermal section of the Fe-rich corner of the Fe-C-Si stable phase diagram at 810 °C (1490 °F). This temperature has been selected so that a Fe-C-Si cast iron...
Abstract
This article discusses the stable and metastable three-phase fields in the binary Fe-C phase diagram. It schematically illustrates that austenite decomposition requires accounting for nucleation and growth of ferrite and then nucleation and growth of pearlite in the remaining untransformed volume. The article describes the austenite decomposition to ferrite and pearlite in spheroidal graphite irons and lamellar graphite irons. It provides a discussion on modeling austenite decomposition to ferrite and pearlite.
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
... (representing the line of equal chemical potential for all components) and the equilibrium compositions of the two phases are given by the tangent points. The line in the phase diagram connecting these two points is called a tie line. The relative position of the Gibbs energy curves varies with temperature...
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
Interpretation and Use of Cooling Curves—Thermal Analysis
Available to PurchaseBook: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005217
EISBN: 978-1-62708-187-0
... rule can be applied to any two-phase field of a phase diagram to determine the amounts of the different phases present at a given temperature in a given alloy. A horizontal line, referred to as a tie line, represents the lever, and the alloy composition represents its fulcrum. The intersection...
Abstract
Thermal analysis is a classical method of determining phase diagrams and can be used to analyze the deviation from solidification under equilibrium conditions. This article discusses the use of thermal analysis in industrial processes and in research. It describes the theoretical basis of simplified and differential thermal analysis. Techniques for determining liquidus and solidus temperatures using cooling curves are also discussed.
Book Chapter
Isomorphous 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.a0006224
EISBN: 978-1-62708-163-4
... is 30 wt% Ni-70 wt% Cu. For an alloy with composition and temperature coordinates located in a two-phase region, the compositions of the phases can be determined by drawing a horizontal line, referred to as a tie line , between the two phase boundaries at the temperature of interest. Then, when...
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.
Book Chapter
Modeling Diffusion in Binary and Multicomponent Alloys
Available to PurchaseSeries: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005439
EISBN: 978-1-62708-196-2
... one phase. In this case, the variation of flux with distance changes the average concentration of the volume element. For a binary alloy at constant temperature, all concentrations of the matrix and precipitate phase are fixed by the ends of a tie line on the binary-phase diagram. Because...
Abstract
This article presents various equations that are essential for the modeling of both single-phase and multiphase profiles. It includes the fundamental laws of diffusion, along with its equations and solutions. The article provides information on the series of applications that illustrate how various diffusional processes can be modeled.
Book Chapter
Design Problems Involving Distortion
Available to PurchaseBook: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0009025
EISBN: 978-1-62708-187-0
... and subsequently machining the section to the desired size. The distortion due to mold restraint and its elimination by redesigning or by adding tie bars are described. The article reviews the distortion that occurs in heat treating and its solution. It concludes with a discussion on the influence of alloy...
Abstract
This article discusses distortion due to differences in solidification times and its two solutions. The solutions include compensating the distortion in a pattern in the direction opposite to that of the observed distortion and increasing the section thickness of an end member and subsequently machining the section to the desired size. The distortion due to mold restraint and its elimination by redesigning or by adding tie bars are described. The article reviews the distortion that occurs in heat treating and its solution. It concludes with a discussion on the influence of alloy to be cast on distortion.
Image
Hydraulic radial forging machine. 1, press frame; 2, cylinder liner; 3, pis...
Available to PurchasePublished: 01 January 2005
Fig. 3 Hydraulic radial forging machine. 1, press frame; 2, cylinder liner; 3, piston; 4, tie rod; 5, servocontrolled pilot cylinder; 6, main pressure line; 7, return pressure line; 8, tank line; 9, manipulator/chuckhead; 10, workpiece; 11, forging die. Courtesy of SMS Meer GmbH
More
Image
in Metal Additive Manufacturing Supply Chain, Powder Production, and Materials Life-Cycle Management
> Additive Manufacturing Design and Applications
Published: 30 June 2023
Fig. 13 (a) Calculating the area of total incident energy, A TIE , or cumulative area exposed to laser fluence requires summing the area exposed over each build layer. (b) Oxygen pickup in exposed powder for Ti-6Al-4V and nickel 718 alloy built in a Trumpf TruPrint 1000 machine, measured
More
1