The invention relates to problems caused to tires by impacts due to obstacles on the road, such as running into a pothole or the edge of the sidewalk. In this case the wall of the tire between the top and the bead can be pinched between the protuberance of the rim gutter and an external obstacle when the impact between the tread and the obstacle causes the closure of the internal cavity of the tire, momentarily giving rise to high dynamic compression stresses perpendicular to the wall of the tire which can lead to breakage of the reinforcements. An elastically deformable protection element with a high rigidity modulus in the direction of these stresses is used to absorb, at least partially, the stresses, for example by providing a coating layer of rubber containing grooves on the interiorwall of the tire.