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Image
Published: 27 April 2016
Fig. 6 Carbon-chromium-iron isopleth showing single-phase boundary (SPB) lines and zero-phase boundary (ZPB) lines. Source: Ref 2
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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
... 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...
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.a0003248
EISBN: 978-1-62708-199-3
... structures (single phase), P L = N L , while for two-phase structures, P L = 2 N L (this may differ by one count in actual cases). Grain-Structure Measurements For single-phase grain structures, it is usually easier to count the grain-boundary intersections with a line of known...
Abstract
Quantifying microstructural parameters has received considerable attention and success in developing procedures and using such data to develop structure/property relationships has been achieved. This article reviews many of the simple stereological counting measurements of volume fraction, grain structure (two-phase grain structures, and nonequiaxed grain structures), grain size, and inclusion content. It also reviews simple relationships between number of grains per unit area, number of intersections of a line of known length with particle or grain, and number of interceptions of particles or grains by a line of known length.
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
... with calculated phase boundaries and the T 0 line, which is the locus of points where the Gibbs free energy of α equals γ. Source: Ref 5 It is generally accepted that the nucleation process controls the rate of the massive transformation ( Ref 6 ); once nucleation begins, the transformation moves...
Abstract
Massive transformations are thermally activated phenomena and exhibit nucleation and growth characteristics primarily controlled by the interface between parent and product phases that is generally considered incoherent. This article focuses on the nucleation and growth kinetics involved in massive transformations and illustrates the resulting phases and structures in ferrous and nonferrous metals and alloys.
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003085
EISBN: 978-1-62708-199-3
... diagram having binary diagrams as its vertical sides. This can be represented as a modified isometric projection, such as shown in Fig. 9 . Here, boundaries of single-phase fields (liquidus, solidus, and solvus lines in the binary diagrams) become surfaces; single- and two-phase areas become volumes...
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.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003741
EISBN: 978-1-62708-177-1
... in layers. The layers may be single phase or multiphase (i.e., one phase or a mixture of two or more phases). The boundaries between the layers are identified on a micrograph by an abrupt change in the volume fraction of phases present. When analyzing a micrograph, one begins by identifying the layers...
Abstract
Interdiffusion microstructures appear as a region on either side of the original interface of contact between two materials. This article outlines the principles used in analyzing various interdiffusion microstructures: binary systems, copper-base systems, nickel-base systems, and silicide-forming systems. The analysis can be helpful in classifying microstructures and in understanding how they change with alloy composition, especially when thermal history is known. The microstructures also help in identifying microstructural artifacts caused by polishing and in recognizing errors in reported heat treating schedules.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005439
EISBN: 978-1-62708-196-2
... equilibrium at the interface. Local equilibrium means that concentrations at the interface are given by the ends of a tie line on a phase diagram. In this case, the movement of the boundary is said to be diffusion controlled. The velocity of the interface is governed by a mass balance at the interface...
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.
Image
Published: 01 June 2016
Fig. 9 Isotherms at 190 °C (375 °F) of Al-Cu-Mg equilibrium phase diagram. Calculated using Thermocalc and the COST507B database. The composition range of some commercial alloys is indicated by boxes. Solid lines denote boundaries between phase fields. Broken lines indicate a constant copper
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Image
Published: 30 November 2018
Fig. 46 Isotherms at 190 °C (375 °F) of Al-Cu-Mg equilibrium phase diagram. Calculated using Thermocalc and the COST507B database. The composition range of some commercial alloys is indicated by boxes. Solid lines denote boundaries between phase fields. Broken lines indicate a constant Cu:Mg
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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.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
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003721
EISBN: 978-1-62708-177-1
... aggregates, and interstitial atoms; line defects (dislocations); and area defects, for example, stacking faults, twin interfaces, subboundaries, and grain boundaries. They are described in specialized texts on the theory of dislocations and other crystal imperfections ( Ref 28 , 29 , 30 ). Electron...
Abstract
This article provides information on the general structural features and origins of metals. The characteristic structural features of single-phase metals and alloys, such as grain structure and substructure, are discussed. The article also describes the major types of multiphase structures and macrostructure of metals and alloys.
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004019
EISBN: 978-1-62708-185-6
... in a characteristic polygonal structure ( Fig. 9 ). Polygonization is essentially migration of dislocations to line up over one another in small-angle tilt boundaries ( Fig. 10 ). These small-angle tilt boundaries form internal sub-grain boundaries that surround subcrystals, which are virtually free of dislocations...
Abstract
Recovery, recrystallization, and grain growth are microstructural changes that occur during annealing after cold plastic deformation and/or during hot working of metals. This article reviews the structure of the deformed state and describes the changes in the properties and microstructures of a cold-worked metal during recovery stage. It discusses the recrystallization that occurs by the nucleation and growth of grains. The article also reviews the growth behavior of the grains, explaining that the grain growth can be classified into two types: normal or continuous grain growth and abnormal or discontinuous grain growth. It also examines the key mechanisms that control microstructure evolution during hot working and subsequent heat treatment. These include dynamic recovery, dynamic recrystallization, metadynamic recrystallization, static recovery, static recrystallization, and grain growth.
Book Chapter
Book: 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
... (1600 °F), point b , the alloy composition-temperature point lies in the two-phase L + β field. The ends of the tie line drawn across the two-phase field determine the chemical composition of the phases: the liquid phase is 34 wt% Si and the β solid-solution phase is 98 wt% Si. The lever rule can...
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.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002485
EISBN: 978-1-62708-194-8
... Notched bar upset testpieces for IN718 showing the workability sensitivity to deformation temperature. Source: Ref 13 Experiments have also shown that the position of the line drops (lower formability) as the second-phase content increases, much like the tensile ductility decreases with second...
Abstract
This article introduces the reasons behind the selection of a deformation process as the method of choice for producing a part or product form. It discusses the advantages, disadvantages, and categories of deformation processes. The article describes the major design considerations in applying a deformation process. Some fundamental aspects of plastic flow, flow stress, cold and hot working, workability, and formability are presented. The article provides information on free-surface cracking, central burst or chevron cracking, and cracking on die contact surface, as well as the microstructural effects on metal flow. It also discusses the defects in sheet-metal formed parts and flow-related defects in bulk forming.
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
...) and phase regions containing solid and liquid phase(s). This boundary represents the limit where the fraction of liquid is zero. The solvus is the boundary between phase regions containing only one solid phase and phase regions containing two or more solid phases. The solvus line represents the limit where...
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.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003723
EISBN: 978-1-62708-177-1
... particles, through random diffusion of single atoms, end up attaching themselves to the larger particles. The number of atoms that are allowed to leave their home-phase particles (or grains, in the case of grain-boundary area reduction) at any time is controlled mainly by the temperature. The rate at which...
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.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006682
EISBN: 978-1-62708-213-6
... individual particle measurements. Intersections and Interceptions per Unit Length, P<sub>L</sub> and N<sub>L</sub> Counting of the number of intersections of a line of known length with particle boundaries or grain boundaries, P L , or the number of interceptions of particles or grains by a line...
Abstract
This article reviews many commonly used stereological counting measurements and the relationships based on these parameters. The discussion covers the processes involved in sampling and specimen preparation. Quantitative microstructural measurements are described including volume fraction, number per unit area, intersections and intercepts per unit length, grain size, and inclusion content.
Book Chapter
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004018
EISBN: 978-1-62708-185-6
... important to note that the mechanisms of diffusion creep and grain-boundary sliding may occur during hot working and superplastic deformation processes. Plastic Deformation in Crystals Plastic deformation in crystals can occur from the shear motion (slip) of dislocations, which are internal line...
Abstract
Plastic deformation can occur in metals from various mechanisms, such as slip, twinning, diffusion creep, grain-boundary sliding, grain rotation, and deformation-induced phase transformations. This article emphasizes on the mechanism of slip and twinning under cold working conditions. It discusses the factors on which the structures developed during plastic deformation depend. These factors include crystal structure, amount of deformation, composition, deformation mode, and deformation temperature and rate. The article illustrates the microstructural features that appear after substantial deformation when revealed through metallographic investigation.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003724
EISBN: 978-1-62708-177-1
... in the figure (where the equilibrium temperatures decrease with increased alloy composition) k < 1. The slope of the liquidus line is m L = dT L / dC L , where T L is the liquidus temperature. Fig. 6 Left corner of a phase diagram. C E , eutectic composition; C L , composition of liquid...
Abstract
This article provides information on four different length scales at which surface morphology can be viewed: macro, meso, micro and nanoscale. Elementary thermodynamics demonstrates that a liquid cannot solidify unless some undercooling below the equilibrium (melting) temperature occurs. The article details five types of solidification undercooling, namely, kinetic, thermal, constitutional (solutal), curvature, and pressure undercooling. It explains the types of nucleation which occur in the melt during solidification. The effects of local instabilities at the solid/liquid interface during growth are illustrated. The article also describes the solidification structures of pure metals, solid solutions, eutectics, peritectics, and monotectics.
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005613
EISBN: 978-1-62708-174-0
... precipitates can pin the austenite grain boundaries and hinder grain coarsening ( Fig. 11 ). Fig. 11 Schematic illustration of austenite grain size in the heat-affected zone (HAZ) of microalloyed steel with second-phase particles as a function of distance from the fusion line and associated thermal...
Abstract
Solid-state transformations occurring in a weld are highly nonequilibrium in nature and differ distinctly from those experienced during casting, thermomechanical processing, and heat treatment. This article provides a description of the special factors affecting transformation behavior in a weldment. It reviews the heat-affected and fusion zones of single-pass and multi-pass weldments. The article also includes a discussion on the welds in alloy systems, such as stainless steels and aluminum-base, nickel-base, and titanium-base alloys.
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