First of all, why do you call them "damaged" when they have not done the damage on themselves in the first place? You need to go to the source of the cause to find out why they are troubled.
For me, I would talk to them, communicate with them and not judge them at all. Everyone wants to be listened, heard, spoken to and loved. Everyone wants to be needed, felt in tune with and they want someone to touch them. Ask them "How are you?"
If they bark "Fark off!" Fine, start slowly. That's how you slowly chip away at the onion layer. You take an onion. With an onion, you cry when you cut it open right but if you put the onion in the freezer for 10 minutes, it won't cause you any crying.
With those troubled teens, they don't cry because they are frozen onions. You need to start slowly, peel the outer frozen onion layers with warmth, love and compassion. You bet one way or another, they will show their human side.. anger, hatred but it's something to start with. It's called communication.
Communication is anything from anger, pure raw unadulterated hatred as you can see what is really bothering that person and eventually you can see them start to chip away the frozen layer.
It bothers me when society is too quick to judge troubled teens as "damaged goods".
Those are our family too.