>13 inch seacoast mortar blowing up.
None did. Cast iron improved via improved process and materials until by about 1850's the measured tensile strength of US guns was around 30,000 psi. Also the 13" mortars were all cast on the Rodman internal cooling process, as were the 15" Rodman guns and many others by that time.
Interestingly, I talked to a person who was going to reproduce a 13" mortar and told them I had read in the National Archives about how the internal cooling process had been used on that model, and they did not want to hear that information. Oh well.
Someone was posting on discussion boards something about cast iron guns degrading over time in strength, but I can't confirm that at all. I talked to a noted cannon expert yesterday who said the only iron cannons he's know to have had accidents (bursting) were either ones that had been submerged in water for a long time, particularly salt water, or those that had been grossly overloaded. One in the latter category had been at a party in Michigan ca. 1999. The inebriated participants loaded it to the trunnions with back powder, then stuffed in wet newspaper wads. A large fragment hit a woman 600 feet away and killed her.