F=Force Ao=original cross-sectional area
L=change in length Lo=original length
=strain =stress Ao=area of face parallel to
force applied =shear testing y=shear strain
=tensile stress =shear stress E=Youngs or
elastic modulus G=shear modulus v=Elastic
Pois

Mat E 273
Exam II Review Session
10/26/2014
J.D. Acton
1
Breakdown:
Fraction of
Exam
Subject
Mechanical Properties:
Fracture & Fatigue:
20%
Steels:
30%
Alloys:
10/26/2014
40%
10%
J.D. Acton
2
Mechanical Properties
A metal is subjected to an elastic tensil

Question 1
1 out of 2 points
Determine the
actual distance
between next
nearest neighbors C
atoms (red vector)
in polyethylene
when they are as
close to each other
as possible. Note: I
don't want the
distance along the
bonds, I'm looking
for the distance

MatE 273 - Review Session Worksheet - #4!
Solutions
Summary of Crystallography!
!
You should realize, by now, that there are a few important types of directions and planes
in a crystalline material. The following gures illustrate specic examples of each t

MatE 273 - Review Session Worksheet - #1!
Solutions
One of the most important concepts you will learn in this course is that the performance /
behavior of a material depends on a variety interrelated factors that are best summarized
by the tetrahedron bel

MatE 273 - Review Session Worksheet - #2!
Solutions
1] Naming Specic Directions!
!
Naming a specic direction is the same as naming a vector in terms of its components:!
!
1) Place the origin at the tail of the vector.!
!
2) Write the projections (componen

MatE 273 - Review Session Worksheet - #5!
Solutions
Phase Diagrams!
!
Phase diagrams are a useful way to represent the equilibrium state of material as a function
of different variables.1 For a single component (pure) material, a pressure-temperature
phas

Today's password is Creep.
Question 2
2 out of 2 points
A specimen of a 4340 steel alloy has a plane strain fracture toughness
of 45 MPam. Itisknownthatthelargestsurfacecrackinthisspecimenis
0.75mmlong.Whatisthemaximumstressthisspecimencantoleratewithout

MatE 273 - Review Session Worksheet - #3!
Solutions
The universe is made of stuff. On the atomistic scale, the elements are the only possible
types of stuff on Earth. The majority of the elements are metallic. The gure below
indicates the room temperature

MatE 273 - Review Session Worksheet - #4!
Solutions
Summary of Crystallography!
!
You should realize, by now, that there are a few important types of directions and planes
in a crystalline material. The following gures illustrate specic examples of each t

MatE 273 - Review Session Worksheet - #1!
Solutions
One of the most important concepts you will learn in this course is that the performance /
behavior of a material depends on a variety interrelated factors that are best summarized
by the tetrahedron bel

MatE 273 - Review Session Worksheet - #3!
Solutions
The universe is made of stuff. On the atomistic scale, the elements are the only possible
types of stuff on Earth. The majority of the elements are metallic. The gure below
indicates the room temperature

MatE 273 - Review Session Worksheet - #5!
Solutions
Phase Diagrams!
!
Phase diagrams are a useful way to represent the equilibrium state of material as a function
of different variables.1 For a single component (pure) material, a pressure-temperature
phas

Sketch a 100 plane.
z
y
x
Sketch a 100 plane.
z
y
x
Sketch an 010 plane.
z
y
x
Sketch an 010 plane.
z
y
x
Sketch a 110 plane.
z
y
x
Sketch a 110 plane.
z
y
x
Sketch a 111 plane.
z
y
x
Sketch a 111 plane.
z
y
x
Sketch an 001 plane.
z
y
x
Sketch an 001 plan

MatE 273 Review Session
Final Exam
12-11-13
Please note:
!
I corrected a couple of things after class today:
!
One of the direction examples incorrectly listed [1 0 1] I have corrected it to [101]
!
Also, I modied the last mechanical properties quest

Exam #2
=
F
A0
=
F
A0
=
li l0 l
=
l0
l0
()
= tan
(
R = cos cos
=
= E
= G
CRSS = y cos cos
)
x
d d0
= y =
z
z
z
(
E = 2G 1+
$ 1+ cos 2 '
! = cos 2 = &
)
2
%
(
)
(
)
$ sin 2 '
! = sincos = &
)
% 2 (
max
2
max = y N
y = 0 + k yd

H
H
H
H
H
H
C
C
C (b) C
C
C
H
CH
H
H CH3
CH3
3
H
H
H
C
C
C
H
H
H
H
H Mat
H
C
C
C
CH3
CH3
CH3
H
H
H
H
C
C
C
C
Repeat unit
E 273 - Exam 3 - Review Session Supplement
Some Common Polymer Repeat Units
(You need to know these.)
unit
tt unit
unit
H
)
) C
H
CH3

Non-Steady State Diffusion (Ficks 2nd Law) Examples
[Example 1] Calculate the Time Required for a Given Diffusion Process
A part made of low carbon steel has a uniform carbon concentration of 0.20 wt%.
I

Mat E 273 - Exam 1 - Review Session Supplement
1. Cube Geometry!
!
=
a
p
a2
+
a2
!
!
!
!
!
!
!
! a3
a
!
a2
!
!
!
!
!
a
!
! a
!
!
!
!
!
!
2. Directions, Planes, and Miller Indices!
!
a p
2
Crystallography is the study of how atoms are arranged int

MatE 273 - Review Session Worksheet - #1
Solutions
One of the most important concepts you will learn in this course is that the performance /
behavior of a material depends on a variety interrelated factors that are best summarized
by the tetrahedron belo

Answers to most of the practice problems are given below. The detailed solutions are NOT given.
Missing answers are those that cannot be given without showing the detailed solution (i.e. usually
problems that ask for a non-numerical answer). Detailed solu

MatE 273 - Review Session Worksheet - #2!
Solutions
1] Naming Specic Directions!
!
Naming a specic direction is the same as naming a vector in terms of its components:!
!
1) Place the origin at the tail of the vector.!
!
2) Write the projections (componen

Mat E 273
L3
Structural Hierarchy of Solids
2-D Lattices
Tim Cullinan - Fall 2016
The universe is made of:
Matter
Solids
Liquids
Gases
* As we proceed well see that this is a simplified view,
These examples are:
single crystals
defect free
single componen

Mat E 273
L26
Ceramics - 2
Other Ceramic Structures, Defects, Diffusion, Phase Equilibrias
Tim Cullinan - Fall 2015
Radius Ratio Ranges
Consider performing a similar analysis while increasing the size of the cation
incrementally or, equivalently, increasi

Mat E 273
Tim Cullinan - Fall 2015
L19
Steels - 1
Fe-Fe3C Phase Diagram,
Equilibrium Microstructure Development
1
Steel is not dead.
A versatile and highly engineered material.
Facts about Earth:
The mass of the earth is about 5.98x1024 kg
thats about 10