I think its use in tires is a lot more common now that radials have replaced the bias-ply tires that were most commonly used when Kevlar was invented. The latter are good for bad roads, but I have the impression that they're not particular about the reinforcing material they use. A material science engineer who worked at a DuPont nylon plant in the '80s mentioned that nylon was used for bias-ply tires for mostly Third World markets.
But of course Kevlar is a trademark of DuPont, general patents on it have long expired. A more general search https://www.google.com/search?q=aramid+radial+tire using aramid instead of Kevlar is also fruitful, especially this 1974 story http://pubs.acs.org/doi/abs/10.1021/cen-v052n008.p007a about Goodyear entering the market with them. That's very well timed, less than half a year after the 1973 oil shock, when fuel efficiency became a very big thing. No doubt they were working on such tires, and the shock provided a perfect marketing opportunity, in addition to the other benefits Kevlar brought to the table.
"Steel belted" is a phrase that I'm sure is hard to market against, as I recall it was used a lot in the '70s....
Goodyear, at least, seems to make a number of models with Kevlar: https://www.google.com/search?q=kevlar+radial+tire
But of course Kevlar is a trademark of DuPont, general patents on it have long expired. A more general search https://www.google.com/search?q=aramid+radial+tire using aramid instead of Kevlar is also fruitful, especially this 1974 story http://pubs.acs.org/doi/abs/10.1021/cen-v052n008.p007a about Goodyear entering the market with them. That's very well timed, less than half a year after the 1973 oil shock, when fuel efficiency became a very big thing. No doubt they were working on such tires, and the shock provided a perfect marketing opportunity, in addition to the other benefits Kevlar brought to the table.
"Steel belted" is a phrase that I'm sure is hard to market against, as I recall it was used a lot in the '70s....