You didn't saw what type of grass you are trying to grow, or what your goals are for this grass. Bermuda Grass grows great in clay, as do allot of other Southern, Warm Season Grass varieties. If you do some research into the different types of Bermuda Grass types, you'll find something for everyone. From fast growing hay fields, to extreme drought tollerant to very fine bladed grass and even for golf courses.
I have clay soil, but consider it a good thing. I like it and I like the way it holds moisture for my trees and pastures. I never have to water, and it's green all season long.
The most common thing to add to clay soil is lime. Clay can have a high acidic level, so the lime is used to lower that, which is good for some plants. Some types of grasses, and especially pine trees, like it jus the way it is. Most of my fields have never had anything added to them. I just disk the soil and drag is smooth. Through out the seed when it's hot outside and wait.
Good luck,
Eddie