Abstract
The resultants (6) satisfy Eqs. (2), and hence the stresses of Eqs. (5) are the desired solution. This analysis of closed, thin shells of constant thickness, subjected to temperature variations through the thickness, shows that, within the limits of thin-shell theory, the tangential thermal stresses are independent of the shape of the shell. The radial stresses depend upon the local curvatures and hence vary over the shell. The expressions for thermal stresses, Eqs. (5), include the effects of layers of different materials through the shell thickness as well as variations of mechanical properties with temperature.
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