Analysis of Thermal Stresses in Sealed Cylinders and the Effect of Viscous Flow During Anneal

Equations are derived for the thermal stresses in long sealed cylinders due to different coefficients of expansion, on the basis that the material of the cylinder is elastic. The optical retardation due to this stress distribution is computed for a ray traveling normal to the axis, and is found to depend upon the axial stress only. The modification in the stress distribution is then investigated for the case when plastic or viscous flow takes place during annealing.