I have heard and believed in Sil-e-rehmi with your blood relations. But I want to know how much are you expected to persist in maintaining your relationships if you don't get a response from the other end? How much are we expected to sacrifice our self respect and dignity?

If you keep trying to keep good ties but they are the ones to cut ties, then:

1- Just make it clear to them that you are open to keeping good ties with them. Whenever they are open you are always open. Make this clear to them.

2- Every once in a while, even if it’s once every 6 months, remind them that you are open to having good ties.

If you do this then it’s sufficient.