your case involves the usage of marine bronze. is that nickel aluminum bronze or manganese bronze? the two have different properties.
Mechanical Properties (Normal Range)the bottom numbers being manganese bronze.
Yield
35 – 43,000 psi
27 – 33,000 psi
Tensile 80 - 95,000 psi 60 - 72,000 psi % Elong in 2 in
15 – 30
20 – 35
Proof stress
28,000 psi
14 – 16,000 psi
Brinell hardness
152 – 190
112 – 130
Fatigue – air
21 – 25,000 psi
9 – 14,000 psi
Fatigue – salt water
18 – 22,000 psi
9 – 12,500 psi
Density – lb/cu in
0.273
0.297
since you like play in your shop try this.....take a 10lb piece of steel and raise it 30 inches above the bronze and drop it. measure the indention's depth and diameter. now do this to a 1020 (low carbon steel)....which is greater? also when your bronze was heated up, what was the temperture it was heated to? how long did the heated bronze stay on the barrel before it was cooled? was it air cooled, oil quenched or water quenched?. could it have stayed on the barrel long enough to heat the barrel also? there are alot of variables here. did the barrel heat up during the process and then rapidly cooled and perhaps put a small "warp" in the rifleing?...just a thought.