Yes, there is, it's just not very obvious - look in research - research degrees http://www.lcc.arts.ac.uk/9299.htm
For any colleges you find that do graphics at Masters level, or whatever your chosen discipline is for a PhD project, I'd advise looking at the research profiles for staff and enrolled research students for that university and subject area. This should give you an idea of whether your proposal might fit with their current or potential research interests, as well as what types of projects are currently being undertaken there. You might find a few members of staff whose areas of expertise overlap with your interests, or include someone you'd like to be supervised by, then you could approach them informally with your PhD proposal. Most universities should have information on application procedures and relevant contact details for potential PhD applicants. Best of luck!