MatSE 406
Thermal and Mechanical Behavior of Materials
1. (2.7) Determine the principal stresses and the maximum shear stress, as well as their angles
with the system of reference given the following stress state:
i j =
32
MPa.
20
We use Mohrs circle to s
MatSE 406
Thermal and Mechanical Behavior of Materials
1. (15.7) For a boron/aluminum composite with the following characteristics. . .
Unidirectional reinforcement
ber volume fraction
ber length
= 0.1m
ber diameter
ber tensile strength
(T.S.)f = 3GPa
be
MatSE 406
Thermal and Mechanical Behavior of Materials
1. The following data were obtained for creep of a polycrystalline oxide with a 10m grain size.
Stress [MPa]
Strain rate [s1 ]
T = 1700K T = 1810K T = 1940K
2.0 108
4.0 108
6.0 108
8.0 108
2.3 107
5.0
Faysal Alharbi
MSE 450
Homework 1
From the available Nobel Prize candidates, my favorite is Alan Heeger for his
work on conducting polymers. Discovery of the conducting properties of polymers was
promised to bring in a new generation of polymers. The res
MSE 405, Spring 2013, Prof. John Abelson
distributed January 14
Dates
Monday
Wednesday
Homeworks
Jan 14, 16
Introduction & Quiz
Optics lecture
HW 1 DUE 1/16
Jan 21, 23
ML KING DAY
7.1  7.3
Jan 28, 30
7.4
7.5
Feb 4, 6
1.1  1.6
1.7  1.10
Assign HW 2 (Chs
Part I Diffusion in Solids
(Shewmon, Porter&Easterling Chap. 2)
MSE 402 Spring 2013 Part I Diffusion in Solids
1
I1 Diffusion Equations

Interested here in macroscopic picture

Derive diffusion equations (Ficks 1st and 2nd laws)

Compare with analogou
MatSE 406
Thermal and Mechanical Behavior of Materials
1. (a) Secondphase particles often pin grain boundaries to inhibit grain growth. What type(s)
of strengthening is (are) provided by the particles?
Particles provide their own strengthening as obstacl
MatSE 406
Thermal and Mechanical Behavior of Materials
1. The following data were obtained during tensile tests on magnesium single crystals at room
temperature.
[ ]
82
63
52
35
27
14
[ ]
11
36
41
55
63
77
Tensile Yield Strength [psi]
402
155
121
100
148
MatSE 406
Thermal and Mechanical Behavior of Materials
FrankRead source
1. Consider a FrankRead source in the cend
ter of a grain of size d , with a shear stress
N=2 loops emitted
applied in the slip plane. The source is
activated, and loops are emitted
MatSE 406
Thermal and Mechanical Behavior of Materials
1. Upon encountering an obstacle, an edge dislocation stops. A second edge dislocation, with
identical Burgers vector and moving in the same plane, approaches the rst dislocation, driven
by a stress e
MatSE 406
Thermal and Mechanical Behavior of Materials
1. (3.4) A steel with a yield stress of 300MPa is tested under a state of stress where 2 = 1 /2
and 3 = 0. What is the stress at which yielding occurs if it is assumed that:
(a) The maximumnormalstr
MatSE 406
Thermal and Mechanical Behavior of Materials
1. For an elastomeric material, we have the constitutive equation
E =
NkB T
1
2 ,
V
where = /0 , with 0 the relaxed length and the extended length.
(a) Show that for constant elastomer volume, T = E
MatSE 406
Thermal and Mechanical Behavior of Materials
283.5
189
0
The plot of Youngs modulus with porosity is to the right.
94.5
E = 378GPa(1 1.9(0.05) + 0.9(0.05)2 )
= 378GPa(0.907)
= 343GPa.
Youngs modulus [GPa]
The modulus varies with porosity p as E
MatSE 406
Thermal and Mechanical Behavior of Materials
1. (2.1) Rubber specimens, having an initial length of 5cm, are tested, one in compression and
one in tension. If the length changes by 1.5cm and +1.5cm, respectively, what are the engineering strains
MatSE 406
[5]
Thermal and Mechanical Behavior of Materials
1. Consider a dislocation in an FCC material with Burgers vector a [011] and line direction [211].
2
Is this an edge, screw, or mixed dislocation? What is the slip plane? Into what partials will
t
MatSE 406
[5]
Thermal and Mechanical Behavior of Materials
1. Describe the Poisson eect.
When a load is applied in one direction, strain in perpendicular directions is observed
thats proportional to the strain parallel to the load direction.
[5]
2. What s
UNIVERSITY OF ILLINOIS
College of Engineering
Department of Materials Science and Engineering
Fall 2012
MATSE 406
THERMOMECHANICAL BEHAVIOR OF MATERIALS
Instructor:
J. K. Shang, 106MSEB, 3339268, jkshang@illinois.edu
TAs:
Nicole Jackson, ndjackso@illino
Introduction to Thermodynamics
MatSE 401, Fall 2012
Instructors:
Professor Shen J. Dillon
sdillon@illinois.edu, MRL 172
Teaching Assistants:
Miao Wang <mwang14@illinois.edu>
Grader
Congshan Wan <wan10@illinois.edu>
Office hours:
Location:
Shen Dillon:
Mia
Suggested parameters for thermal analysis materials
Heat Capacity
SiC and graphite: 50450C at a rate of 2535 C/minute
Latent Heat
* For all latent heat measurements, do an isothermal hold for 2 minutes at the initial
temperature, an isothermal hold for
Heat Capacity and Latent Heat
Objective
The objective of this laboratory is for you to explore the heat capacity of materials due to atomic
vibrations and the latent heat of phase transitions and how these properties