Introduction to the Principles and Properties of Materials
MAT SCI 201

Spring 2011
CHAPTER 7
1. Consider a polyethylene molecule (C2H4)n with n = 50.
(a) What is the rootmeansquare length (coiled length) of this molecule?
(b) What is the length of this molecule when stretched? Note that the CCC angle is 109.5.
(c) When one suddenly
Introduction to the Principles and Properties of Materials
MAT SCI 201

Spring 2011
CHAPTER 1
1. Given a positive and a negative ion, the attractive potential energy between these two ions is
given by A/R and the repulsive potential energy by B/Rn, where R is the separation between the
two ions. A, B and n are constants. The total potent
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2015
MAT SCI 201: Problem Set #3
F15
MAT SCI 201: Problem Set 3:
Polymer Structure, Crystalline Imperfections
Problem Set #3: Callister 14.6, 14.9, JE3.01, 14.14, 4.1, 4.2, 4.6, 4.8, 4.42, 4.D1
Due Date: 10/12/2015
All problems should be attempted and the sol
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
9.13 A leadtin alloy of composition 30 wt% Sn70 wt% Pb is slowly heated from a temperature of 150C
(300F).
(a) At what temperature does the first liquid phase form?
(b) What is the composition of this liquid phase?
(c) At what temperature does complete me
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
6.5 An aluminum bar 125 mm (5.0 in.) long and having a square cross section 16.5 mm (0.65 in.) on an
edge is pulled in tension with a load of 66,700 N (15,000 lbf) and experiences an elongation of 0.43 mm
(1.7 102 in.). Assuming that the deformation is en
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Stress Concentration
m = 20
a
t
1/2
Kt 0
m = stress at crack tip
0 = applied stress
a = length of a surface crack, or halflength of an internal crack
t = radius of curvature of crack tip
1 / 20
Stress Concentration
Stress concentration factor
Kt =
m
=2
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
The Tension Test
In a tension test, the specimen is elongated at a constant rate,
while the applied load and resulting elongation is measured.
.
.
.
.
.
.
1 / 29
Linear Elasticity
Hookes law:
= E
where E (GPa) is the modulus of elasticity or Youngs modul
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Dislocations
Screw dislocation.
Edge dislocation.
1 / 20
Dislocation Motion
A dislocation moves on a slip plane, in a slip direction, in response
to an applied shear stress.
2 / 20
Dislocation Motion
Mixed dislocations move neither parallel nor perpendicu
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Mechanisms of Strengthening in Metals
Restricting or hindering dislocation motion renders a material
harder and stronger.
1. Grainsize reduction.
2. Solid solution strengthening.
3. Precipitation hardening.
4. Cold work (strain hardening).
1 / 29
Grains
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Mechanical Properties (Chapter 6,7)
Intro:
Materials subject to loads while in use forces acting on the material are calculated, to
see how much the material deforms (elongates, compresses, twists)
Materials scientists perform tests to learn about mechani
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
MATSCI 201 Introduction to Materials
COURSE SYLLABUS
Instructors: Prof. Lincoln J. Lauhon (weeks 1 4), Dr. Jee E Rim (weeks 511), Fall 2014
CLASS HOURS:
DISCUSSION SECTIONS:
TTh 9:3010:50 PM
M 9:00 10:00 AM, 3:00 4:00 PM, 4:00 5:00 PM
EMAIL:
[email protected]
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Computing the Density of Ceramics
=
n (
AC +
VC NA
AA )
where
n = number of formula units in the unit cell
AC = sum of atomic weights of all cations in the formula
unit
AA = sum of atomic weights of all anions in the formula
unit
VC = unit cell volume
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Phase Transformation
Issues to address:
Transforming one phase into another takes time.
How does the rate of transformation depend on time and
temperature?
When are nonequilibrium structures formed?
How can a heat treatment be designed to produce a speci
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
" ) properties represent. The following concept map 1
I
206 ' Chapter6 l Mechanical Properties of Metals
f
Symbol Meaning
TS Tensile strength I ~ . .
H Strain values perpendicular to the direction of load application
ii 6 El (i.e., the transverse dire
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
MSE 201 Fall 2014 Homework #3 Due Weds 10/15 at 5 pm.
Show all work and acknowledge all collaborators.
1. Consider a 5 mm diameter cylindrical silicon specimen 50 mm long.
(a) A current of 0.1 A passes in an axial direction and a voltage of 12 V is measur
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Chapter 9 Phase Diagrams
Issues to address:
When we combine two elements, what is the resulting
equilibrium state?
If we specify the composition and the temperature,
How many phases form?
What is the composition of each phase?
What is the amount of eac
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Lectures 5 & 6: Thermal and
Electrical Properties
Today 10/7: Callister Chapter 19,18
Lecture Goals:
Develop atomic perspective on electron and atom
motion.
Relate microscopic understanding to material
conductivity and thermal properties.
Classify ma
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Lecture 8 (Ch 5): Diffusion of Atoms
OBJECTIVES
Describe mechanisms of diffusion at the atomic scale.
Link atomic scale diffusion to continuum observations.
Describe steadystate diffusion using Fick's first law.
Describe timedependent concentration prof
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Introductions to MSE 201
Fall 2014 Instructors
Lecturers:
Dr. Jee Rim (Weeks 511)
Prof. Lincoln Lauhon (Weeks 14)
TAs:
Maria Sebastiani
Anthony Tan
Course Format
Lecture: TuesdayThursday
Discussion: Monday
Homework: due Wednesday at 5 PM in
MSE offi
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Lecture 4: Defects
Today 10/2: Callister Chapter 4
Lecture Goals:
Describe point, line, and planar defects in
crystals.
Introduce concepts of solid solutions and
secondary phases.
Relate defect types and concentrations to
properties of materials.
Tu
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Binary Eutectic Systems
CuAg system:
3 singlephase regions (L, , ).
Limited solubility between Ag and Cu.
1 / 20
Binary Eutectic Systems
Eutectic transition: a liquid phase transforms into two solid phases
upon cooling.
cooling
L(CE ) (CE ) + (CE )
heat
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
350 ' Chapter9 I Phase Diagrams
9.8 How many kilograms of nickel must be added to 9.15 A copperzinc alloy of composition 75 wt% Zn_25
0 1.75 kg of copper to yield a liquidus temperature wt% Cu is slowly heated from room temperature.
of 1300°C?
9.9 How man
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
Molecular Shape of Polymers
Molecular orientation can be changed by rotating the bonds.
Endtoend distance is much smaller than the chain length.
.
.
.
.
.
.
1 / 11
Molecular Structure of Polymers
Linear
Crosslinked
Branched
Networked
.
.
.
.
.
.
2 / 11
Introduction to the Principles and Properties of Materials
MAT SCI 201

Fall 2014
FALL 2013
MATSCI 201 INTRODUCTION TO MATERIALS
MIDTERM 2 STUDY GUIDE
Chapter 5
1. What are the two mechanisms by which diusion occurs in metals? In general, which
is faster? Given impurity and host atoms, can you determine by which mechanism the
atoms diu
Introduction to the Principles and Properties of Materials
MAT SCI 201

Winter 2015
MAT_SCI 201: Problem Set #D9
W16
Problem Set #D9
Ashby: 5.01, 5.02, 5.03, 5.04
Due Date: 2/29/2016 at the end of discussion
All problems should be attempted and the solutions brought to your Discussion Section for review.
These problems are derived form
Introduction to the Principles and Properties of Materials
MAT SCI 201

Winter 2015
MAT_SCI: Problem Set #D2
W16
MAT_SCI 201: Problem Set #D2
Callister 9e: 1.5, 2.13* , 2.16, 2.18, 2.22* , 2.25, 2.27, 3.7, 3.16* , 3.22
Due Date: 1/11/2016
All problems should be attempted and the solutions brought to your Discussion Section for review.
N
Introduction to the Principles and Properties of Materials
MAT SCI 201

Winter 2015
MAT_SCI 201: Problem Set #L102
W16
Problem Set #L102
Callister 9e: 18.3, JDE18.1, 18.8, 18.10, 18.18, 18.19*, 18.23, 18.28, 18.30, 21.4*, 21.11, 21.14,
21.18, 21.28
Due Date: 3/10/2016 at the end of lecture
All problems should be attempted and the solu