Laminate comprising a stack, in a vertical direction, of at least one non-woven layer and a layer made in one part or as an integral part attached to the at least one non-woven layer, in particular by means of an adhesive such as glue, the layer comprising a first face or lower face and a second face or upper face between which at least one elastic section in the form of a film extends and at least one rigid section in the form of a film made from a less elastic material than the material of the elastic section, in particular a section made from a non-elastic material, the layer being obtained by coextrusion of the at least two elastic and rigid films, such that an interface is formed between them, characterised in that, as viewed in cross section, - the curve or line formed by the interface between the two films extends from a point of the lower face to a point of the upper face mutually offset in horizontal direction, the diagonal line passing through these two points being inclined in relation to the vertical of the layer; - the peak point of the curve from the side of the rigid film is defined as the point most remote from the diagonal line from the side of the rigid film, the distance from the diagonal line being measured perpendicular to the latter, the peak point being merged with the point of the lower face in cases where the curve does not exceed the diagonal from the side of the rigid film and the hollow point of the curve from the side of the elastic film is defined as being the point that is most remote from the diagonal line from the slide of the elastic film, the distance to the diagonal line being measure perpendicular to the latter, the hollow point being merged with the point of the upper face in cases where the curve does not exceed the diagonal from the side of the elastic film; - at least one of the peak and hollow points being different respectively from the lower and upper points; - the line passing through the point of the lower face and the peak point and/or the line passing through the point of the upper face and the hollow point forms an angle with the line passing through the hollow point and the peak point; and - at least one out of the line (P0P) lower point-peak point, the line peak point-hollow point and line (P2P1) hollow point-upper point is inclined respectively in relation to the vertical direction, in relation to the horizontal direction and in relation to the vertical direction. - the curve or line formed by the interface between the two films extends from a point of the lower face to a point of the upper face mutually offset in horizontal direction, the diagonal line passing through these two points being inclined in relation to the vertical of the layer; - the peak point of the curve from the side of the rigid film is defined as the point most remote from the diagonal line from the side of the rigid film, the distance from the diagonal line being measured perpendicular to the latter, the peak point being merged with the point of the lower face in cases where the curve does not exceed the diagonal from the side of the rigid film and the hollow point of the curve from the side of the elastic film is defined as being the point that is most remote from the diagonal line from the slide of the elastic film, the distance to the diagonal line being measure perpendicular to the latter, the hollow point being merged with the point of the upper face in cases where the curve does not exceed the diagonal from the side of the elastic film; - at least one of the peak and hollow points being different respectively from the lower and upper points; - the line passing through the point of the lower face and the peak point and/or the line passing through the point of the upper face and the hollow point forms an angle with the line passing through the hollow point and the peak point; and - at least one out of the line (P0P) lower point-peak point, the line peak point-hollow point and line (P2P1) hollow point-upper point is inclined respectively in relation to the vertical direction, in relation to the horizontal direction and in relation to the vertical direction.