trexbus,
I would ask what you are trying to accomplish....are you trying to model the internal stresses in a tire, or are you looking for things like vertical stiffness, lateral stiffness, alingning moment, etc?
Google NHTSA, and specifics on what you are looking for. A lot of people have developed methods to describe internal stresses and deflections and overall tire performance. Some of the work is in the form of Master's or PHD thesis and is available.