A simple model was developed to describe the deformation in long silve
r-sheathed oxide superconducting tapes caused by the thermal expansion
of air trapped within the conductor and by carbon dioxide released by
the decomposition of SrCO3 in the precursor powder during heat treatm
ent. The analysis presented can be extended to include other carbon-co
ntaining compounds, impurities and gases released during the annealing
process. The model assumes a zero-strain deformation process of the t
hin silver sheath in response to the gas pressure developed within the
conductor due to heating. Results show that swelling (uniform deforma
tion along the conductor length) increases linearly with temperature.
For a carbon-free tape, swelling increases with decreasing precursor p
owder packing density. The reverse is true for tapes that contain carb
on which is distributed uniformly within the tape. A carbon content of
approximate to 0.001% by weight produces swelling similar to that pro
duced by air. Increasing carbon content increases swelling. Carbon con
tent in excess of 0.5% by weight will deform the con ductor to the ext
ent that elastic/plastic deformation can occur. Discrete SrCO3 particl
es dispersed among the precursor powder produce bubbles (localized def
ormation). The size and concentration of these bubbles depend on the S
rCO3 particle size and concentration. For a given carbon content, smal
l SrCO3 particles form a large number of bubbles, which merge together
resulting in swelling along the conductor length. Large SrCO3 particl
es, on the other hand, form only a few discrete bubbles whose size inc
reases with particle size.