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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 More
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...
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...
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...
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...
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...
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...
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 More
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 More
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...
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...
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...
Book Chapter

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...
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...
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...
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...
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...
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...
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 &lt; 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...
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...