Thank you for your additional information.
So I am assuming then joint custody in this matter.
A child of 14, sometimes wants and needs to be with the father, at least for a little while.
She needs to hear from her father that she is pretty, and that she is valuable, and a good kid. She may find herself when with you, in competition or at odds with you. this is a dynamic that often happens in parental dyads where there has been a divorce and the family is split up.
While the father may have abused you, he might not be abusing the child. this is a common dynamic. It is hard for me to believe, if she is asking and wanting to stay with him, that he is abusing her. Children know when the parent is not good for them, and will not stay with them or want to be alone with them, even if there were a custody agreement requiring it.
Now I do not think she does not want to stay with you. I think she is torn. I believe she wants to be with you, and with her father. She probably misses that in her life. So for some reason, either because the father made it easy, or even might have insisted, or because you and her had an argument recently, she made the easy choice to remain there.
You do however have a right to be concerned. You have a right to be concerned because, though she may not be in danger, his propensity for violence means that she is at risk. She may not realize she is at risk, because of her youthful mind, and youthful invincibility. (it won't happen to me like it does to mom)
That you have no address and do not know where she is, and because she is a minor, in this situation, you have a right to get the police involved. He is doing what in legal circles they call, interfering with the custody of a minor. IN your situation, you have joint custody, and he is interfering with your custody; and as a parent you are entitled to know where your daughter is, other than simply with the father.