Bet your TL082 wasn't powered by a 9 V battery, if so bad luck!
The TL082 was a sacrificial lamb since I could get a replacement for it just down the street and I had to order the OPA and pay shipping and all that. If a part was going to blow when I first plugged it in, I wanted it to be something I didn't have to reorder.
Now that I think about it, I remember what happened, and you are correct. The TL082 sounded awful on 9 volts, so I decided to try two of them to get 18 volts. It wasn't that I plugged the chip in backwards; I accidentally reversed the leads going to the batteries. At the time, I didn't have any other opamps (the OPA will still being shipped) and it was late enough at night that RS was closed. So it was an early-to-bed night that night.