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November 24, 2004
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Page 1 of 7
MSE 101H1F Materials Science

Quiz #3
Total marks for all questions: 10
Marks are not equal for all questions – Marks are shown in left hand margin
2
1.
A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile
stress is applied parallel to the
[ ]
1 0 0 direction. If the critical resolved shear stress for this
material is 0.5 MPa, calculate the magnitude of applied stress necessary to cause slip to occur
on the (111) plane in the
1 0 1
direction.
See Problem 8.13:
This problem asks that, for a metal that has the FCC crystal structure, we compute the applied
stress required to cause slip to occur on a (111) plane in the
direction. In order to solve this
problem it is necessary to employ Equation 8.3, but first we need to solve for the for ? and f
angles for the slip system. The f is the angle between the direction of the applied stress, [100] and
the normal to the (111) plane, that is, the [111] direction. The angle f may be determined using
Equation 8.5 as
where (for [100])
u
1
= 1,
v
1
= 0,
w
1
= 0, and (for [111])
u
2
= 1,
v
2
= 1,
w
2
= 1. Therefore, f is equal
to
Now, we must determine the value of ? — that is, the angle between the [100] and
directions. Again using Equation 8.5
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This note was uploaded on 06/08/2010 for the course MSE MSE101 taught by Professor Proframsayscott during the Fall '03 term at University of Toronto Toronto.
 Fall '03
 ProfRamsayscott

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