Introduction to Modeling Materials Processing ME 450 Prof. Brian Thomas
Homework #1
Background
Due: Wednesday, Aug. 31, 2011.
#1. List 3 example materials processes (or aspects of processes, or related processes) of
interest to you.
For each one, state in one sentence:
a) What is the main purpose of the process?
b) What are the main phenomena that govern (or potentially govern) the process?
c) Give an example of a practical (real-world) design question that might be answered
with the help of a simple calculation / model.
d) Sketch and label the domain of most interest to the problem.
#2
a)
b)
c)
d)
Expand the following in terms of derivatives, (∂/∂x, ∂/∂y, etc.), rectangular
(Cartesian) coordinate directions (x,y,z), and scalar components, (vx, σyx), etc.
T (T=temperature)
v (v=velocity vector)
tr
(σ= stress tensor)
i
j
v
x
#3
a)
b)
Transform the following to Gibbs notation:
y
x
z
v
vv
x
yz
xyz
TTTT
vvv
txyz
#4. To the extent possible, I would like to customize the class to be as interesting and
useful as possible to everyone.
a) What do you most want to get out of the course this semester?
b) Which course topics (from the syllabus) are of most interest to you?
c) Is there another related topic would you like to see added (if time permits)?
#5. In addition to office hours, I will be out of town sometimes this semester and would
like to schedule a few make-up classes. Please respond to the email asking for your
typical weekly schedule, indicating when you are available and if you like, also
comment about when you would prefer to have office hours and make-up classes
(Noon? evenings? What time?)