EN222: Mechanics of Solids
Homework 8: More thin films
Due Thursday April 20, 2006
Division of Engineering
Brown University
1. An isotropic linear elastic circular plate with Poisson’s ratio
ν
, radius
R
and thickness
h
is
heated to induce a temperature gradient
0
( )
2
/
T z
T z h
=
through the thickness of the plate.
Repeat
the bifurcation calculation outlined in class to calculate a relationship between
and the two
principal curvatures
in the plate.
You should find that there are two possible solutions for
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 Spring '09
 HUAJIANGAO
 Engineering Brown University

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