Mid Term Exam - Equation Sheet
1/(1
A - n)
,
r0 =
nB
E0 =
2
A
1/(1 - n)
A
nB
B
n/(1 - n)
A
nB
%IC = 1 e( 0.25)( Xa Xb ) 100
=
nAFe
VC N A
dhkl =
+
n
, a =d hkl (h)2 + (k)2 + (l) 2
2 sin
Q N A Fe
Q
N v = N exp v =
exp v
kT
kT
AFe
av
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Mechanical Properties of Materials
Phase Diagrams
Homework 06
Note: Please refer to your textbook for the phase diagrams that you will need to solve the
problems
9.1. Consider the sugarwater phase diagram of Figure 9.1.
(a) How much sugar will
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Mechanical Properties of Solids
Diffusion in Solids
Solutions of Homework 05
Note: Please study the sample problem on page 3 and the ones the in the lecture notes prior to solving your
homework problems.
5.3. (a) Compare interstitial and vacanc
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Mechanical Behavior of Materials
Homework 03
4.1 Calculate the fraction of atom sites that are vacant for lead at its melting temperature of 327C (600 K).
Assume an energy for vacancy formation of 0.55 eV/atom.
4.2 Calculate the number of va
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Mechanical Behavior of Materials
Homework #2
3.5 Show that the atomic packing factor for BCC is 0.68.
3.6 Show that the atomic packing factor for HCP is 0.74.
3.7 Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic wei
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Homework #5 Solutions
6.3 A specimen of aluminum having a rectangular cross section 10 mm 12.7 mm (0.4 in. 0.5 in.) is pulled
in tension with 35,500 N (8000 lbf) force, producing only elastic deformation. Calculate the resulting strain.
Solu
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Mechanical Properties of Materials
Homework 01
2.14 The net potential energy between two adjacent ions, EN, may be represented by the sum of Equations 2.8
and 2.9; that is,
EN =
A
B
n
r
r
Calculate the bonding energy E0 in terms of the par
Chapter 10
Phase Transformations
1
Microstructures
in Eutectic Systems: II
2 wt% Sn < Co < 18.3 wt% Sn
Result:
Initially liquid +
then alone
finally two phases
a polycrystal
fine -phase inclusions
L: Co wt% Sn
T(C)
400
L
L
300
L+
: Co wt% Sn
200
Chapter 4
Imperfections in Solids
Imperfections in Solids
ISSUES TO ADDRESS.
What types of defects arise in solids?
Can the number and type of defects be varied
and controlled?
How do defects affect material properties?
Imperfections formed by solidif
Chapter 9
Phase Diagrams
Part2
1
Ex: Pb-Sn Eutectic System (1)
For a 40 wt% Sn-60 wt% Pb alloy at 150C, find.
-the phases present:
+
-compositions of phases:
Pb-Sn
system
T(C)
CO = 40 wt% Sn
C = 11 wt% Sn
C = 99 wt% Sn
300
-the relative amount
of each p
Chapter 9
Phase Diagrams
1
Phase Diagrams
ISSUES TO ADDRESS.
When we combine two elements (Ni, Cu.)
what equilibrium state do we get?
In particular, if we specify.
-a composition (e.g., wt% Cu - wt% Ni), and
-a temperature (T )
then.
How many phases do
Chapter 5
Diffusion in Solids
1
Diffusion in Solids
Issues that will be addressed addressed.
How does diffusion occur?
Why is it an important part of processing?
How can the rate of diffusion be predicted for
some simple cases?
How does diffusion depe
CHAPTER 5
DIFFUSION PROBLEMS with SOLUTIONS
5.4 Briefly explain the concept of steady state as it applies to diffusion.
Solution
Steady-state diffusion is the situation wherein the rate of diffusion into a given system is just equal to the
rate of diffusi
CHAPTER 9
PHASE DIAGRAMS
PROBLEM SOLUTIONS
9.9
Is it possible to have a coppernickel alloy that, at equilibrium, consists of a liquid phase of
composition 20 wt% Ni80 wt% Cu and also an phase of composition 37 wt% Ni63 wt% Cu? If so, what will be
the appr
CHAPTER 10
PHASE TRANSFORMATIONS IN METALS
PROBLEMS WITH SOLUTIONS
10.3 If copper (which has a melting point of 1085C) homogeneously nucleates at 849C, calculate the
critical radius given values of 1.77 109 J/m3 and 0.200 J/m2, respectively, for the laten
CHAPTER 4
PROBLEM SOLUTIONS
4.2 Calculate the number of vacancies per cubic meter in iron at 850C. The energy for
vacancy formation is 1.08 eV/atom. Furthermore, the density and atomic weight for Fe are 7.65
g/cm3 and 55.85 g/mol, respectively.
Solution
D