H
HBC
Guest
I believe the problem is overheating of the jacket and melting of the core is a result of overheating the jacket, as stated above.
The length of the barrel is very likely a big factor but the jacket thickness at the base of the bearing surface is the biggest factor, I believe.
Here is a simple example of frictional heating:
Say one has a cube of copper 0.55"x0.55"x0.55" sitting on a flat steel plate 28 inches long. A pressure of 35000 psi is applied to the top of the cube, thus force between the copper and steel is 10,587.5 pounds force. Say the coefficient of friction between the copper and steel is 0.3, thus if one tried to move the cube horizontally, the force required after the cube began moving would be 3176.25 lbf.
IF the cube were moved 28" then frictional heat would be 3176.25*28/12 ft-lbf or 7411.25 ft-lbf or 9.5 BTU. Thus, the longer the cube is pushed, the more frictional heat is generated which would flow into the cube, the steel plate and the atmosphere.
The coefficient of friction between a bullet and a rifle bore is likely much less than 0.30 because the bore is generally coated with nitrocellulose residue. Through tests I have found that nitrocellulose residue is a great lubricant and many bullets that fragment after being fired out of a dry bore will survive after the bore is fouled.
To reduce bullet failure, the primary concern is increasing the bullet jacket thickness, especially at the base of the bearing surface. That has two effects: If one increases the jacket thickness from 0.020" to 0.025" at the base of the bearing surface, then there is approximately 25% more jacket material to heat up at the hottest part of the jacket. That means the jacket will not be heated as much because there is simply more jacket to heat up. Thus the jacket is stronger because it is cooler and in addition it is further strengthened by the additional thickness.
It appears that making the core of the bullet pure lead has a small advantage in keeping the jacket cooler. The specific heat of lead is higher than antimony and it is likely that the thermal conductivity of pure lead is greater than lead/antimony. Thus the a pure lead core would help slightly in keeping the jacket cooler. In the case of a boat tail bullet, using pure lead would move more of the mass of the core into the boat tail where it can not contribute to dynamic core pressure in the bearing area and thus that would also aid in keeping the jacket cooler. Yet another advantage of pure lead is that it has a higher melting temperature than lead/antimony.
I say a small advantage for pure lead because the specific heat of copper and the thermal conductivity of copper are both substantially greater than lead or antimony. The thermal conductivity of copper is about 19 times greater than the thermal conductivity of pure lead (that is from memory so it is not intended to be an exact ratio).
So again, I believe the primary consideration is increasing the thickness of the jacket in the right places. The jacket is the strength of the bullet and if it is kept relatively cool, the core will not melt whether it is pure lead or lead/antimony.
Eric's comments on the blown primers with the thicker jackets are interesting. Here is the only thing I can think of at the moment: When the primer fires and the propellant begins to burn and drive the bullet into the lead of the rifling, it might be that the thinner jacket deflects inward more than the thicker jacket and is not engraved as deeply, initally, as the heaver jacket is engraved. That would likely result in a higher engraving force for the heavier jacket thus allowing initial pressure to build sooner. That of course is speculation.
The length of the barrel is very likely a big factor but the jacket thickness at the base of the bearing surface is the biggest factor, I believe.
Here is a simple example of frictional heating:
Say one has a cube of copper 0.55"x0.55"x0.55" sitting on a flat steel plate 28 inches long. A pressure of 35000 psi is applied to the top of the cube, thus force between the copper and steel is 10,587.5 pounds force. Say the coefficient of friction between the copper and steel is 0.3, thus if one tried to move the cube horizontally, the force required after the cube began moving would be 3176.25 lbf.
IF the cube were moved 28" then frictional heat would be 3176.25*28/12 ft-lbf or 7411.25 ft-lbf or 9.5 BTU. Thus, the longer the cube is pushed, the more frictional heat is generated which would flow into the cube, the steel plate and the atmosphere.
The coefficient of friction between a bullet and a rifle bore is likely much less than 0.30 because the bore is generally coated with nitrocellulose residue. Through tests I have found that nitrocellulose residue is a great lubricant and many bullets that fragment after being fired out of a dry bore will survive after the bore is fouled.
To reduce bullet failure, the primary concern is increasing the bullet jacket thickness, especially at the base of the bearing surface. That has two effects: If one increases the jacket thickness from 0.020" to 0.025" at the base of the bearing surface, then there is approximately 25% more jacket material to heat up at the hottest part of the jacket. That means the jacket will not be heated as much because there is simply more jacket to heat up. Thus the jacket is stronger because it is cooler and in addition it is further strengthened by the additional thickness.
It appears that making the core of the bullet pure lead has a small advantage in keeping the jacket cooler. The specific heat of lead is higher than antimony and it is likely that the thermal conductivity of pure lead is greater than lead/antimony. Thus the a pure lead core would help slightly in keeping the jacket cooler. In the case of a boat tail bullet, using pure lead would move more of the mass of the core into the boat tail where it can not contribute to dynamic core pressure in the bearing area and thus that would also aid in keeping the jacket cooler. Yet another advantage of pure lead is that it has a higher melting temperature than lead/antimony.
I say a small advantage for pure lead because the specific heat of copper and the thermal conductivity of copper are both substantially greater than lead or antimony. The thermal conductivity of copper is about 19 times greater than the thermal conductivity of pure lead (that is from memory so it is not intended to be an exact ratio).
So again, I believe the primary consideration is increasing the thickness of the jacket in the right places. The jacket is the strength of the bullet and if it is kept relatively cool, the core will not melt whether it is pure lead or lead/antimony.
Eric's comments on the blown primers with the thicker jackets are interesting. Here is the only thing I can think of at the moment: When the primer fires and the propellant begins to burn and drive the bullet into the lead of the rifling, it might be that the thinner jacket deflects inward more than the thicker jacket and is not engraved as deeply, initally, as the heaver jacket is engraved. That would likely result in a higher engraving force for the heavier jacket thus allowing initial pressure to build sooner. That of course is speculation.