HilaryE...
Differential expansion and contraction can be a killer... especially when a high thermal expansion/contraction alloy is rigidly sandwiched by a significantly lower thermal expansion/contraction alloy.
This situation is analogous to when water-freezes-to-ice [expands] in a rigid container. Forces by the Ice-expansion cause a tremendous compression force on the ice and a tensile stress on the container. In Your case the relatively rigid/low-expansion steel places a high compressive stress on the ductile/high-expansion brass, causing it elastically strain then plastically [permanently] in yield in compression. When the brass/steel subsequently shrink to their smaller static dimensions as the assembly cools off the brass would retain it's now-smaller width-size relative to the steel.
NOTE.
I'll bet that the unrestrained brass dimensions increase about 1/3 of the permanent contractile strain.
Recommend getting a copy of SAE AIR809 Metal Dimensional Change with Temperature to study this phenomena.
Alternately, I am sure there is Finite Element Software that could easily model this differential materials and elastic/plastic strain phenomena.
NOTE.May consider...
(a) adding a gap between the interior of the steel fixture and exterior of the brass 'part'; then adding very stiff high temp wave springs to restrain the brass during it's differential expansion within the rigid steel.
(b) shrinking the size of the brass blocks slightly, so that when it thermally expands within the steel frame, It fits with only a slight [compression] interference when max temperature is reached/stabilized with both materials.
NOTE. The old naval term "it's cold enough to freeze the balls off a brass monkey" originated then the temperature dropped well below freezing on the deck of a wooden ship. The brass cannon-ball carriages ['monkey', mounted to the soft wood deck] contracted at a much higher rate than the tightly fitted/stacked [at normal temperature] iron cannon balls. This could/did cause the pyramid-stack of cannon-ball to become loose from the carriage... possibly allowing cannon-balls to separate from the stack and roll-around the deck [a bad situation on a ship]. The naval-brass carriages had good strength and high resistance to corrosion and were a permanent deck feature; but were very expensive. The cannon balls were obviously disposable in high number and needed to be just tough enough to shoot reliably from a cannon... but be cheap/easy to make... hence good quality cast iron was used.
Regards, Wil Taylor
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