hello
I am an int student doing a Phd in M and C, and my tuition fees are divided between two scholarships from my uni and from my dept. The livings costs I work on a project.
There are many UK and EU phds who have got ESRC studentships in our dept, and many who have not. Other int students who work on topics about their home country get funding from their home country.
It depends a lot on your nationality (home or int), your proposal and its fit with the funding body's prefs and your support from supervisor and dept.