Material Engineering - Phase Diagrams Part 2, Study notes of Material Engineering

Detail Summery about Points Covered, Equilibrium Diagrams , Eutectoid and Peritectic Reactions, Ceramic Phase Diagrams, The Gibbs Phase Rule, Hypoeutectoid Alloys.

Typology: Study notes

2010/2011

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Points Covered
Equilibrium Diagrams with Intermediate
Phases or Compounds
Eutectoid and Peritectic Reactions
Ceramic Phase Diagrams
The Gibbs Phase Rule
The Iron-Iron Carbide Phase Diagram
Development of Microstructures in Iron-
Carbon Alloys
Hypoeutectoid Alloys
Hypereutectoid Alloys
Influence of Other Alloying Elements
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1

Points Covered

Equilibrium Diagrams with Intermediate

Phases or Compounds

Eutectoid and Peritectic Reactions

Ceramic Phase Diagrams

The Gibbs Phase Rule

The Iron-Iron Carbide Phase Diagram

Development of Microstructures in Iron-

Carbon Alloys

Hypoeutectoid Alloys

Hypereutectoid Alloys

Influence of Other Alloying Elements

2

Intermetallic Compounds

Mg

2

Pb

Note: intermetallic compounds exist as a line on the diagram

  • not a phase region. The composition of a compound has a

distinct chemical formula.

19 wt% Mg-81 wt% Pb

4

Eutectoid & Peritectic

Cu-Zn Phase diagram

Eutectoid transformation  

Peritectic transformation  + L

5

Eutectoid – one solid phase transforms to two other solid

phases

Solid

1

↔ Solid

2

  • Solid

3

  + Fe

3

C (For Fe-C, 727C, 0.76 wt% C)

Eutectic, Eutectoid, & Peritectic

Eutectic - liquid transforms to two solid phases

L  +  (For Pb-Sn, 183C, 61.9 wt% Sn)

cool

heat

Peritectic - liquid and one solid phase transform to a 2nd

solid phase

Solid

1

  • Liquid ↔ Solid

2

 + L ε (For Cu-Zn, 598°C, 78.6 wt% Zn)

cool

heat

cool

heat

7

Ceramic Phase Diagrams

MgO-Al

2

O

3

diagram:

8

  • Need a material to use in high temperature

furnaces.

  • Consider Silica (SiO 2

) - Alumina (Al

2

O

3

) system.

  • Phase diagram shows: mullite, alumina and crystobalite

(made up of SiO 2

) are candidate refractories.

Composition (wt% alumina)

T(°C)

1400

1600

1800

2000

2200

0 20 40 60 80 100

alumina

mullite

mullite

  • L

mullite

Liquid

(L)

mullite

+crystobalite

crystobalite

  • L

alumina + L

3Al

2

O

3

-2SiO

2

APPLICATION:

REFRACTORIES

10

Gibbs Phase Rule

Phase diagrams and phase equilibria are subject to the laws of thermodynamics.

Gibbs phase rule is a criterion that determines how many phases can coexist within a

system at equilibrium.

P + F = C + N

P: # of phases present

F: degrees of freedom (temperature, pressure, composition)

C: components or compounds

N: noncompositional variables

For the Cu-Ag system @ 1 atm for a single phase P:

N=1 (temperature), C = 2 (Cu-Ag), P= 1 (, L)

F = 2 + 1 – 1= 2

This means that to characterize the alloy within a single phase

field, 2 parameters must be given: temperature and composition.

If 2 phases coexist, for example, L L, then according to GPR, we have 1

degree of freedom: F = 2 + 1 – 2= 1. So, if we have Temp or composition, then we can

completely define the system.

If 3 phases exist (for a binary system), there are 0 degrees of freedom. This means the

composition and Temp are fixed. This condition is met for a eutectic system by the

eutectic isotherm.

11

Iron-Carbon System

  • Pure iron when heated experiences 2

changes in crystal structure before it

melts.

  • At room temperature the stable form,

ferrite ( iron) has a BCC crystal

structure.

  • Ferrite experiences a polymorphic

transformation to FCC austenite (

iron) at 912 ˚C (1674 ˚F).

  • At 1394˚C (2541˚F) austenite reverts

back to BCC phase  ferrite and melts

at 1538 ˚C (2800 ˚F).

  • Iron carbide (cementite or Fe

3

C) an

intermediate compound is formed at

6.7 wt% C.

  • Typically, all steels and cast irons

have carbon contents less than 6.7 wt

% C.

  • Carbon is an interstitial impurity in

iron and forms a solid solution with

the phases

Though carbon is present in relatively low

concentrations, it significantly influences the

mechanical properties of ferrite: (a) α ferrite, (b)

4 Solid Phases

16

Iron-Carbon (Fe-C) Phase Diagram

  • 2 important

points

- Eutectoid (B):

  +Fe

3

C
  • Eutectic (A):
L

Fe

3

C

Fe

3

C (cementite)

1600

1400

1200

1000

800

600

400

0 1 2 3 4 5 6 6.

L

(austenite)

+L

+Fe

3

C

+Fe

3

C

(Fe)

C, wt% C

1148°C

T(°C)

727°C = T

eutectoid

Result: Pearlite =

alternating layers of

 and Fe

3

C phases,

not a separate phase.

120 m

B

A

L+Fe

3

C

Fe

3

C (cementite-hard)

 (ferrite-soft)

Pearlite

Eutectoid reaction:

+Fe

3

C

Austenite – 0.76 wt% C

Ferrite - 0.022 wt% C

Cementite - 6.70 wt% C

Redistribution of carbon by

diffusion

19

Fe

3

C (cementite)

1600

1400

1200

1000

800

600

400

0 1 2 3 4 5 6 6.

L

(austenite)

+L
  • Fe

3

C

  • Fe

3

C

L+Fe

3

C

(Fe)

C, wt% C

1148°C

T(°C)

727°C

C

0

Hypoeutectoid Steel

pearlite

 

20

Proeutectoid

  • Formed before the eutectoid
  • Ferrite that is present in the pearlite is called eutectoid ferrite.
  • The ferrite that is formed above the T

eutectoid

(727°C) is proeutectoid.