In the context of silat-ur-rahim, (ties of kinship) the late eminent scholar Sheikh `Abdul-`Aziz ibn Baz says,

“Upholding the ties of kinship is obligatory to the extent that one is able to do it, starting with the closest and then the next closest. There is a great deal of goodness in it and it serves many interests.

Severing the ties of kinship is a major sin, because Allah says, “Would you then, if you were given the command, work corruption in the land and sever your ties of kinship? Such are they whom Allah curses so that He deafens them and makes blind their eyes. ” (Muhammad, 47:22)

Also, the Prophet (peace and blessings of Allah be upon him) said: “No one who severs the ties of kinship will enter Paradise.” (Muslim)

Moreover, it is authentically reported that the Prophet (peace be upon him) said, “Whoever would like his provision to be increased and his lifespan to be extended, let him uphold the ties of kinship.” (Sahih al-Bukhari)

There are many Hadiths on this topic. What is required is that one should maintain the ties of kinship to the extent that he is able to, by visiting them if possible, or by writing or phoning.”

With this explanation, it becomes clear that severing ties of kinship is not permissible unless there is a valid legal cause for that, such as if they are hostile non-Muslims who fight Muslims.
Financial or familial matters should not prevent us from keeping good relations with relatives.

Muslims are required to continue in keeping the good relations with their relatives. This in fact is a characteristic of the devout who fears Allah and seeks His pleasure. In addition, a Muslim should turn back to Satan’s whispers and he should not allow him to keep him away from this good act.

It is authentically reported that a man said to the Messenger of Allah (peace and blessings of Allah be upon him), “I have relatives with whom I try to keep in touch, but they cut me off. I treat them well, but they abuse me. I am patient and kind towards them, but they insult me.” The Prophet (peace and blessings of Allah be upon him) said, “If you are as you say, then it is as if you are putting hot dust in their mouths. Allah will continue to support you as long as you continue to do that.” (Reported by Muslim) The Hadith shows that the Prophet orders to continue keeping the ties of kinship in spite of the kin’s ill reaction.