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Total Amount of Phase - Science and Engineering of Materials - Lecture Slides, Slides of Materials science

These are the Lecture Slides of Science and Engineering of Materials which includes Point Defects, Types of Defects, Equilibrium Number, Thermal Vibrations, Boltzmann Constant, Regular Lattice Sites, Substitutional Solid Solutions, Composition Conversions etc. Key important points are: Total Amount of Phase, Intermediate Phases, Solid Solution Phases, Intermetallic Compounds, Eutectoid Reactions, Peritectic Reactions, Congruent Phase Transformations, Iron–Iron Carbide

Typology: Slides

2012/2013

Uploaded on 03/21/2013

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How to calculate the total amount of α
phase (both eutectic and primary)?
Fraction of α phase determined by application of
the lever rule across the entire α + β phase field:
Wα = (Q+R) / (P+Q+R) (α phase)
Wβ = P / (P+Q+R) (β phase)
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Download Total Amount of Phase - Science and Engineering of Materials - Lecture Slides and more Slides Materials science in PDF only on Docsity!

How to calculate the total amount of α

phase (both eutectic and primary)?

Fraction of α phase determined by application of the lever rule across the entire α + β phase field:

Wα = (Q+R) / (P+Q+R) (α phase)

Wβ = P / (P+Q+R) (β phase)

Intermediate Phases

So far only two solid phases (α and β)

Terminal solid solutions

Some binary systems have intermediate

solid solution phases.

Cu-Zn: α and η are terminal solid solutions, β, β’, γ, δ, ε are intermediate solid solutions.

Eutectoid Reactions (I)

Eutectoid ( eutectic-like in Greek) reaction

similar to eutectic reaction

One solid phase to two new solid phases

Invariant point (the eutectoid) 

Three solid phases in equilibrium

Upon cooling, a solid phase transforms into

two other solid phases (δ ↔ γ + ε below)

Eutectoid

Cu-Zn

Eutectoid Reactions (II)

Contains an eutectic reaction

and an eutectoid reaction

Congruent Phase Transformations

Congruent transformation  no change in

composition

(e.g, allotropic transformation such as α-Fe to γ-Fe or melting transitions in pure solids)

Incongruent transformation, at least one phase changes composition (eutectic, eutectoid, peritectic).

Congruent melting of γ

Ni-Ti

The Iron–Iron Carbide (Fe–Fe 3 C) Phase Diagram

Steels: alloys of Iron (Fe) and Carbon (C).

Fe-C phase diagram is complex. Will only consider the steel part of the diagram, up to around 7% Carbon.

Comments on Fe–Fe 3 C system

C is an interstitial impurity in Fe. It forms a solid solution with α, γ, δ phases of iron

Maximum solubility in BCC α-ferrite is 0.022 wt% at727 °C. BCC:relatively small interstitial positions

Maximum solubility in FCC austenite is 2.14 wt% at 1147 °C - FCC has larger interstitial positions

Mechanical properties: Cementite (Fe 3 C is hard and brittle: strengthens steels. Mechanical properties also depend on microstructure: how ferrite and cementite are mixed.

Magnetic properties: α -ferrite is magnetic below 768 °C, austenite is non-magnetic

Classification. Three types of ferrous alloys:

Iron: < 0.008 wt % C in α−ferrite at room T

Steels: 0.008 - 2.14 wt % C (usually < 1 wt % ) α-ferrite + Fe 3 C at room T (Chapter 12)

Cast iron: 2.14 - 6.7 wt % (usually < 4.5 wt %)

Eutectic and eutectoid reactions in Fe–Fe 3 C

Eutectoid: 0.76 wt%C, 727 °C γ(0.76 wt% C) ↔ α (0.022 wt% C) + Fe 3 C

Eutectic: 4.30 wt% C, 1147 °C L ↔ γ + Fe 3 C

Eutectic and Eutectoid reactions are important in heat treatment of steels Docsity.com

Pearlite, layered structure of two phases: α-ferrite

and cementite (Fe 3 C)

Alloy of eutectoid composition (0.76 wt % C)

Layers formed for same reason as in eutectic:

Atomic diffusion of C atoms between ferrite (0.

wt%) and cementite (6.7 wt%)

Mechanically, properties intermediate to

soft, ductile ferrite and hard, brittle cementite.

Microstructure of eutectoid steel (II)

In the micrograph, the dark areas are Fe 3 C layers, the light phase is α-ferrite

Compositions to the left of eutectoid (0.022 - 0.

wt % C) hypoeutectoid ( less than eutectoid -Greek)

alloys.

γ → α + γ → α + Fe 3 C

Microstructure of hypoeutectoid steel (I)

Compositions to right of eutectoid (0.76 - 2.14 wt

% C) hypereutectoid ( more than eutectoid -Greek)

alloys. γ → γ + Fe 3 C → α + Fe 3 C

Microstructure of hypereutectoid steel (I)

Hypereutectoid contains proeutectoid cementite

(formed above eutectoid temperature) plus perlite

that contains eutectoid ferrite and cementite.

Microstructure of hypereutectoid steel (II)

Example: hypereutectoid alloy, composition C (^1)

Fraction of pearlite:

WP = X / (V+X) = (6.7 – C 1 ) / (6.7 – 0.76)

Fraction of proeutectoid cementite:

WFe3C = V / (V+X) = (C 1 – 0.76) / (6.7 – 0.76)

Summary

 Austenite  Cementite  Component  Congruent transformation  Equilibrium  Eutectic phase  Eutectic reaction  Eutectic structure  Eutectoid reaction  Ferrite  Hypereutectoid alloy  Hypoeutectoid alloy  Intermediate solid solution  Intermetallic compound  Invariant point  Isomorphous  Lever rule  Liquidus line  Metastable

Make sure you understand language and concepts:

 Microconstituent  Pearlite  Peritectic reaction  Phase  Phase diagram  Phase equilibrium  Primary phase  Proeutectoid cementite  Proeutectoid ferrite  Solidus line  Solubility limit  Solvus line  System  Terminal solid solution  Tie line