3.22: Problem Set
Assigned: 5/4/04
Solutions will be provided
Problem 1.
The S-N curve for an elastic material is characterized by the Basquin relationship,
a = C N b , where C is a material constant
3.22 Mechanical Behavior of materials
PS8 Solution
Due: April, 27, 2004 (Tuesday) before class (10:00am)
1. Annealed copper have a dislocation density of approximately 10 8 cm 2 . Calculate the
total
3.22 Mechanical Behavior of materials
PS8
Due: April, 27, 2004 (Tuesday) before class (10:00am)
1. Annealed copper have a dislocation density of approximately 10 8 cm 2 . Calculate the
total elastic s
3.22 Mechanical Behavior of materials
PS6
Due: April, 6, 2004 (Tuesday) before class (10:00am)
1. The results of a creep test performed on a specimen of polyethylene at room
temperature are given in t
3.22 Mechanical Behavior of materials
PS7
Due: April, 13, 2004 (Tuesday) before class (10:00am)
1. A component is subjected to the stress state of
0
300 0
ij = 0 100 0 MPa
0
0 200
The yield stres
3.22 Mechanical Behavior of materials
PS5
Due: March, 30, 2004 (Tuesday) before class (10:00am)
1. (a) Derive the constitutive equation
+
1
E1
= E 2 + ( E1 + E 2 )
1
E1
for the standard linear solid
3.22 Mechanical Behavior of materials
PS4
Due: March, 9, 2004 (Tuesday) before class (10:00am)
1. For the case of an epoxy + 70 v/o (volume percent) S-glass long fiber composite, what
is the elastic m
3.22 Mechanical Behavior of materials
PS3
Due: March, 2, 2004 (Tuesday) before class (10:00am)
1. A sample of a material subjected to a compressive stress z is confined so that it cannot
deform in the
3.22 Mechanical Behavior of materials
PS2
Due: February, 24, 2004 (Tuesday) before class (10:00am)
1. The components of displacement of the element are shown below.
(a) Find expression of u1 ( x1 , x
3.22 Mechanical Behavior of materials
PS1
Due: February, 17, 2004 (Tuesday) 5:00PM Rm.4-217
1. (a) Show that the stress tensor is symmetric in the absence of body forces and
accelerations. Assume that
3.22 Mechanical Behavior of materials
PS9
Due: May, 4, 2004 (Tuesday) before class (10:00am)
1. A turbine blade in a jet engine operates at a peak temperature of 700. Due to the high
speed rotation of