I'm using an iPad Mini 4, by the way.
Whenever I break a block with a door, or stack of doors, in hand the doors lose durability like a pick-axe or other tool. On top of this, attacking mobs with a door decreases their durability. Doors with durability shown do not stack with others, and placing and re-destroying a door resets it's durability. I've only tested this with Oak and Birch doors, but it should be the same for all the other ones, too.
Thank you for your report!
However, this issue has been closed as a Duplicate of MCPE-14761.
It has been linked to this report. If you have additional information, please add it to that report.
Please search before reporting, as it's likely that one exists already.
Quick Links:
📓 Issue Guidelines – 💬 Community Support – 📧 Feedback – 📖 Game Wiki