Why is my iPhone frying all my batteries?

On January my original Apple battery died. I then orderer one from ebay, lasted two months, then died. Repeated, lasted one month. Bought a new one from iFixit, lasted 4 months, then died.

All batteries would die the same way: A day the phone would do a random reboot showing apple logo, then next days will be doing this more and more often until phone can only be used while charging. Then, someday, phone doesn´t even work charging it. I can´t even enter on recovery mode. Totally dead. But when I change the battery to a new one, everything works fine again.

So in other words, my phone keeps slowly frying any battery I put on it. My question is, why is this happening? What´s damaging these batteries? I use only original lighting cable for charging, and would charge phone directly to the wall, sometimes to my PC and seldom to a power bank.

Ideas?

Thanks in advance.