run-flat tire
n.— «Pergantis said the Army uses what are called “run-flat” tires on some vehicles. They allow a vehicle some mobility even if the tires are flat. An airless tire is the next step, he said.» —“Airless Tire Being Developed for Humvees” by Robert Imrie Forbes.com Dec. 30, 2006. (source: Double-Tongued Dictionary)
Further reading
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My vehicle uses run-flat tires. They indeed will perform reasonably well despite holes in the tire. It is likely that more and more tires will be constructed this way, despite the added cost.