Homework Set 2
1. Data for a tensile test on a cylindrical test sample are given on the Excel spreadsheet. The
initial sample length is 2 inches and the initial diameter is 0.505 inches. The yield point was
observed to occur at 6000 lbs. Determine the ela

MSE 705 Quiz 1
Spring 2015
Quiz 1 Review Sheet
The quiz will be 9 problems. There will be calculations, discussion questions and T/F questions.
It will cover Lectures 1-8 and homework sets 1-3. The equations sheet (attached) will be given
with the quiz. T

Homework Set 4 Key
1. Prove that the maximum glide force for the interaction of an edge dislocation with a V misfit
particle occurs at 60, as indicated in CN9-18.
2. The following data were obtained for polycrystalline samples of nickel. Determine the
par

Homework Set 3 Key
1. Prove the reciprocity relation for the interaction strain energy Uint using the stress and strain
relations for isotropic elasticity.
2. Dislocation A is fixed at the origin and dislocation B is free to move on the slip plane shown
i

Homework Set 7 Key
1. The stress corrosion crack growth rate for 4340 steel in sea-water is da/dt = 4.9x10-8
m/sec for K KISCC = 20 MPa-m1/2. KIC = 56 MPa-m1/2. Given an initial crack size of 5
mm, determine the time-to-failure (hrs) for stresses of 100,

Homework Set 5 Key
1. A log-log version of the Larsen Miller plot is given (other versions can be used).
2. Using the log-log Larsen Miller plot:
LM
" 21 = 7.66 ! t = 4.6x10 7 hrs = 5200 yrs
740
b) LM = 800 #log 6 x 8760 + 21% = 20576 ! ' = 260 MPa
$
&
LM

MSE 705 Quiz 3
Spring 2015
Quiz 3 Review
Quiz 3 will be 10 problems, closed book, 3-hour (final exam) time slot. No T/F problems
Lectures: CN18 thru CN25 (Omit CN26 heart valves)
Note that slides 17-19 were updated in CN18 revised version is in Moodle
Hom

Homework Set 8
1. A thermoplastic polymer yields at 39.0 MPa in a compression test and at 42.0 MPa in
a tension test. Assuming that yield stress for the polymer varies linearly with hydrostatic
pressure, use the Von Mises criterion to find the tensile yie

Homework Set 8 Key
1. A thermoplastic polymer yields at 39.0 MPa in a compression test and at 42.0 MPa in
a tension test. Assuming that yield stress for the polymer varies linearly with hydrostatic
pressure, use the Von Mises criterion to find the tensile

Homework Set 6 Key
1. The fracture toughness values are (Y = )
(
)(
K IC = F a = 1.15 1.3x10
3
(
95x10
6
) ) = 25.8 MPa m
1
2
1
(
)(
Griffith
K IC = 2E = 2 150x109 1.65 = 0.7 MPa m 2
Since KIC > KIC
Griffith
)
, it is not consistent with the Griffith bri

Homework Set 3
1. Prove the reciprocity relation for the interaction strain energy Uint using the stress and strain
relations for isotropic elasticity.
2. Dislocation A is fixed at the origin and dislocation B is free to move on the slip plane shown
in Fi

Homework Set 1 Key
1. The three roots for x in the cubic equation det | [] x[I] | = 0 are the principal stresses 1, 2
and 3. The axes directions are obtained by solving the system of homogeneous linear equations
([] x[I] )[n] = 0. Solving using x = 1 give

Homework Set 4
1. Prove that the maximum glide force for the interaction of an edge dislocation with a V misfit
particle occurs at 60, as indicated in CN9-18.
2. The following data were obtained for polycrystalline samples of nickel. Determine the
paramet

Homework Set 3
1. Prove the reciprocity relation for the interaction strain energy Uint using the stress and strain
relations for isotropic elasticity.
2. Dislocation A is fixed at the origin and dislocation B is free to move on the slip plane shown
in Fi

Homework Set 1 Key
1. The three roots for x in the cubic equation det | [] x[I] | = 0 are the principal stresses 1, 2
and 3. The axes directions are obtained by solving the system of homogeneous linear equations
([] x[I] )[n] = 0. Solving using x = 1 give

Homework Set 8
1. A thermoplastic polymer yields at 39.0 MPa in a compression test and at 42.0 MPa in
a tension test. Assuming that yield stress for the polymer varies linearly with hydrostatic
pressure, use the Von Mises criterion to find the tensile yie

MSE 705 Quiz 1
Spring 2015
Quiz 1 Review Sheet
The quiz will be 9 problems. There will be calculations, discussion questions and T/F questions.
It will cover Lectures 1-8 and homework sets 1-3. The equations sheet (attached) will be given
with the quiz. T