A tread for a tire having a contact face intended to come into contact with ground during rolling, the tread being provided with a plurality of grooves of a depth D extending in an orientation having a non-zero angle A relative to circumferential orientation and opening to the contact face, at least two circumferentially adjacent grooves of the plurality of grooves delimiting a contact element, the contact element having at least one incision opening to the contact face and extending in an orientation substantially parallel to the orientation in which the closest plurality of grooves being extending and radially inward orientation, the contact element being delimited into at least two sub-contact elements via the plurality of grooves and the at least one incision, on a plane perpendicular to the orientation in which the plurality of grooves being extending and to the contact face, each the at least one of the at least two sub-contact elements having a length Ls between two frontal faces, a first frontal face and a second frontal face of the at least two sub-contact elements, an outermost portion of each the sub-contact element constituting a part of the contact face intersecting with the first frontal face at a first edge and with the second frontal face at a second edge, the first edge having a radial height H1 and the second edge having a radial height H2 both from a bottom of the groove, the tread having an outline OL of a radius Rt at an intersection IS between the outline OL and the outermost portion, the outermost portion comprising two portions, a first portion including the first edge and a second portion including the second edge, the first portion having a first radius Rs and the second portion having a second radius Rg, the first radius Rs being smaller than the second radius Rg the tread being characterized in that the first radius Rs is from 20% to 50% of the length Ls. at least two circumferentially adjacent grooves of the plurality of grooves delimiting a contact element, the contact element having at least one incision opening to the contact face and extending in an orientation substantially parallel to the orientation in which the closest plurality of grooves being extending and radially inward orientation, the contact element being delimited into at least two sub-contact elements via the plurality of grooves and the at least one incision, on a plane perpendicular to the orientation in which the plurality of grooves being extending and to the contact face, each the at least one of the at least two sub-contact elements having a length Ls between two frontal faces, a first frontal face and a second frontal face of the at least two sub-contact elements, an outermost portion of each the sub-contact element constituting a part of the contact face intersecting with the first frontal face at a first edge and with the second frontal face at a second edge, the first edge having a radial height H1 and the second edge having a radial height H2 both from a bottom of the groove, the tread having an outline OL of a radius Rt at an intersection IS between the outline OL and the outermost portion, the outermost portion comprising two portions, a first portion including the first edge and a second portion including the second edge, the first portion having a first radius Rs and the second portion having a second radius Rg, the first radius Rs being smaller than the second radius Rg the tread being characterized in that the first radius Rs is from 20% to 50% of the length Ls.