I had the same issue after updating to IOS 8.2. The phone would ask for reactivation 10-15 times per day. it would work if you had WIFI but if you were on the LTE network, you could not reactivate the phone!
I went to Apple store and they believed it to be defective hardware or defective SIM card.
We started by replacing the SIM card and that worked well for about 2 months...until the next update to IOS 8.3 when it started happening again.
Either this is a strange coincidence or it is related to a hardware/software defect in the iPhone.
Apple will not replace it if it is over warranty but sell you a refurbished unit at a cheaper rate.
If you insist on keeping an iPhone, the Extended warranty is probably a safe bet because the iPhone is not very reliable.