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UNIVERSITY OF CALIFORNIA
College of Engineering
Department of Materials Science and
Engineering
Assigned 09/24/09
Due 10/01/09
Fall 2009
MSE 113
Prof.
Ritchie
Mechanical Behavior of Materials
PROBLEM SET 3
a)
Imagine that we deform two cylindrical Nickel alloy samples of the below geometry with original
length
L
.
One sample is deformed in a tension test to double its length to 2
L
, while the other is
deformed in compression to onehalf its original length, ½
L
.
Show that these samples will have
equivalent strains in terms of true strain but will have different strains in terms of engineering
strain.
Problem 1
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View Full Documentb)
The stressstrain curve for the above sample obeys a plastic constitutive law of the form:
?
11
=
± ∙ ²
11
³
Compute the strain hardening exponent
n
for a Nickel alloy in which a true stress of 475 MPa
produces a true strain of 0.10; Assume a value of 1000 MPa for
K
.
What is the work per unit
volume absorbed in fracturing this sample in tension, if the fracture strain is
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 Fall '09
 Ritchie
 Materials Science And Engineering

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