MSE 3004 Spring Semester 2011
Problem-Set #7 - Solutions
1) Determine the Eigenvalues and Eigenvectors for the following matrix:
3 1 1
A = 2 4 2
1 1 3
Eigenvectors:
2) Textbook, #3.36 (The following s
MSE 3004 Mechanical Behavior of Materials
Spring 2011
Homework Set # 1 - Solutions
1) What does it mean, if a material is isotropic? If it is homogeneous? Are all
homogeneous materials isotropic or ar
Ch. 1 Introduction to Mechanical Behavior
The definition of Materials Science
: The synthesis of useful engineering materials and the controls of their
properties through the control of composition an
Ch. 4 Anelasticity and Damping
For elasticity the deformation associated with a given stress is instantaneous
and recoverable. For anelasticity, the deformation is recoverable but it is timedependent.
Materials Science and Engineering 3004
Mechanical Behavior of Materials
Seok-Woo Lee
Spring Semester 2015
Final Examination
(May 4th, 2015, Monday)
Total 7 problems, 2 hours
1.
(Youngs Modulus, 21 Poi
Ch. 7 Yielding and Strengthening Mechanisms
in Crystalline Solids
The yield strength may be the most important and most universally used
parameter for describing mechanical behavior of structural mate
Ch. 3 Elasticity
Elastic behavior of Solids, perhaps best understood area of mechanical
behavior. This is because elasticity is described by a simple phenomenological
law, namely, Hookes law. Accordin
Ch. 9 Fracture of Materials
Rational for the study of notched or cracked solids (why study crack?)
1. Metal with unlimited ductility
Shear fracture sample would draw to appoint at which time the load
Ch. 6 Dislocations
Discussion of mechanical behavior to this point has been largely
phenomenological; we have not considered the atomic level or defect processes
involved. To understand plastic deform
Ch. 5 The Tensile Test (Metals)
The Full Tensile Test (example: a pure FCC metal)
Parameter of the Tensile test
0
d =
"L%
" L0 + L %
dL
=
ln
=
ln
L0 L $# L '& $# L '&
0
0
L
ultimate tensile stress (U
Materials Science and Engineering 3004
Mechanical Behavior of Materials
Midterm Examination: Total 59 Points
(45 min)
(March, 9th, Wednesday)
1.
Seok-Woo Lee
Spring Semester 2016
(Stress, Strain, and
Materials Science and Engineering 3004
Mechanical Behavior of Materials
Seok-Woo Lee
Spring Semester 2016
Final Examination
(May 6th, 2016, Friday)
Total 7 problems, 2 hours
1.
(Basic concepts, 16 Poi
MSE 3004 Mechanical Behavior of Materials
Spring 2011
Homework Set # 3 - Solutions
1) Textbook # 3.1
From = K n we obtain ln ( ) = ln(K ) + n ln ( ) . A plot of the two data points in a log-log
format
MSE 3004 Spring Semester 2011
Problem-Set #8 - Solutions
1) (a) Determine the mean pressure (one third of the trace of the stress tensor), expressed
in units of Gb/r for an edge dislocations. At what
MSE 3004 Mechanical Behavior of Materials
Spring 2011
Homework Set # 6: Solutions
1) The stress tensor values at a point P in a material is given by the array
5 7 0
= 7 0 2 .
0 2 4
Determine the
MSE 3004 Mechanical Behavior of Materials
Spring 2011
Homework Set # 5: Solutions
1) An aluminum single crystal is subjected to a tensile stress of x = 250 kPa parallel to x =
[100] and a compressive
MSE 3004 Mechanical Behavior of Materials
Spring 2011
Homework Set # 2 Solutions
1) Consider a thin-wall tube, capped at each end and loaded under internal pressure. Calculate
the ratio of the axial s