Title page for ETD etd-11092012-040116
|Type of Document
||Cooper, David E.
||Stresses and deformations in cross-ply composite tubes subjected to circumferential temperature gradients
||Master of Science
|Hyer, Michael W.
|Herakovich, Carl T.
|Johnson, Eric R.
|Date of Defense
The stresses and deformations in cross—ply composite tubes
subjected in circumferential temperature gradients are studied. The
motivation behind the study is the anticipated use of composite tubes
in space structures where the tube is exposed to the heat of the sun
on one side and the cryogenic temperatures of space on the other.
Experiments were performed to measure the functional form of the
temperature gradient and the displacements. It was found that the
form of the temperature gradient, T(θ), can accurately be represented
by T(θ) = A + Bcosθ and that the displacement of the tube is parabolic
in the axial coordinate. Two types of analytical solutions were
developed: an exact elasticity U solution and an approximate solution.
The approximate solution includes a linear variation of the material
properties with temperature and uses the principle of complementary
virtual work in conjunction with a Ritz approximation on the stress
field. The elasticity solution predicts that high tensile stresses
could crack the matrix. The effect of including temperature-dependent
material properties is to reduce the circumferential dependency of
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