Tire carrying heavy loads comprising a tread band having a plurality of grooves of transverse overall orientation, formed of at least three rubber materials: —a first material M1, in the median part of the tread band, having a secant modulus at 10% elongation measured at a temperature of 23° C. at least equal to 4.0 MPa and hysteresis losses tan(δ)max greater than 0.19, —a second material M2, on the edge parts, having a secant modulus at 10% elongation, at 23° C., lower than the first material, and a hysteresis losses value tan(δ)max lower than the first material and at least 0.15, —a third material M3, radially below the materials M1 and M2, having a hysteresis losses value tan(δ)max lower than 0.12, —wherein first material M1 has a resistance to wear at least 15% better than the second and third materials, which have substantially the same resistance to wear.