E344 2013 Summer
Solution Set 3
1. 13.21 (a) What are the three main components of a whiteware ceramic such as porcelain?
(b) What role does each component play in the forming and firing procedures?
Solution
(a) The three components of a whiteware
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Materials for engineering
da/dN (mm cycle1)
103
104
PES
Matrix
20% wt% GF
30% wt% GF
L T direction
105
0.5
0.6 0.7 0.8 0.9 1.0
1.5
K1 (MPa m1/2)
2.0
2.5
3.0 3.5
6.22 Log(da/dN) versus log(K) curves of PES composites tested at a
frequency of 5 Hz.
with
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Materials for engineering
Specific stiffness (GPa)
100
80
Aligned SiC monofilament in aluminium
60
40
Particulate SiC in aluminium
20
0
0
10
20
30
40
Volume fraction of reinforcement (%)
50
60
6.8 Improvements in specific stiffness of MMCs with increa
Preface to the first edition
This textbook represents an attempt to present a relatively brief overview of
Materials Science, the anticipated readership being students of structural and
mechanical engineering. It is in two sections the first characterisin
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Materials for engineering
Liquid
Temperature (C)
300
+L
200
+L
62%
19%
180
98%
+
100
Pb
20
40
60
80
Wt%
Sn
Fig. 7.1
formed). The instantaneous concentration of the solid in contact with the
liquid phase, Cx, may be expressed in terms of the fraction f
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Materials for engineering
C
1600
Liquid (L)
Temperature (C)
1500
1400
1300
b
x
L+S
1200
1100
1000
0
T1
T2
T3
a
d
e
Solid solution (S)
10
20
30
40
50
60 C 70
Weight
(%Ni)
80
90
100
1.11 Coppernickel equilibrium diagram.
and is equal to the vertical sepa
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Materials for engineering
2
3
Stress
4
1
Strain
5.4 Schematic stressstrain curves for various polymers (see text
for key).
Curve 2 is typical of polystyrene below its Tg, showing near linear elastic
behaviour up to brittle fracture. Curve 3 is typifie
Part III
Problems
Problems
Chapter 1
1. Distinguish between the following types of bonding in solids:
van der Waals bonds
covalent bonds
ionic bonds
metallic bonds.
Name four materials in which each of these types of bonding occur.
2. Show that differenti
E344 2013 Summer
Solution Set 4
Solution
At the equilibrium position, the force is equal to 0. Thus,
The modulus of elasticity of Copper Alloys given in the Appendix is about 100-110 GPa, which is on the
same order. This result is reasonably hi
E344 2013 Summer -
Solution Set 6
Solution
d. The solubility of carbon
in FCC Fe (austenite) is
higher than that in BCC Fe
(ferrite), because the size of
the interstitial spaces in FCC are slightly larger than those in BCC. The most correct wa
E344 2013 Summer
Solution Set 7
Solution
Solution
3. (From Spring 2009 final): The adjacent figure (figure 18.8
in Callister) describes the electrical resistivity of various
copper alloys as a function of temperature.
E344 2013 Summer
Solution Set 5
1. 5.10 Show that
C x =
x 2
B
exp
Dt
4 Dt
is also a solution to Equation 5.4b. The parameter B is a constant, being independent of both x and t.
Solution
It can be shown that
C x =
is a solution
E344 2013 Summer
Solution Set 2
1. Silicon Carbide (SiC) is a ceramic material that is often referred to as a wide-bandgap semiconductor.
It is a polymorphic material that can be found in a large number of different crystallographic structures.
The bandga
E344 2013 Summer
Solution Set 1
Solution
WAu 75% 0.5 g 0.375 g
WCu 25% 0.5 g 0.125 g
N Au
W Au
0.375 g
NA
6.02 10 23 mole 1 1.15 10 21
M Au
196.97 g / mole
N Cu
WCu
0.125 g
NA
6.02 10 23 mole 1 1.18 10 2 1
M Cu
63.55 g / mole
2. 2.7 Give the elect
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Materials for engineering
where G is the shear modulus, b the dislocation Burgers vector and is a
constant of value about 0.2.
As plastic deformation continues, therefore, the increase in dislocation
density causes an increase in the well-known effect