An elastic laminate has a coextruded film having an outer film layer formed of an elastic and sticky styrene-block copolymer and an inner film layer of lesser elasticity than the outer layer, an outer fleece or nonwoven web or overlay, an outer adhesive layer between the outer fleece web and the outer film layer adhering the outer fleece web to the outer film layer, an inner fleece or nonwoven web or overlay, and an inner adhesive layer between the inner fleece web and the inner film layer adhering the inner fleece web to the inner film layer. The inner adhesive layer forming between the inner fleece web and the inner film layer a bond that is weaker than a bond formed by the outer adhesive layer between the outer fleece web and the outer film layer such that on stretching the inner fleece layer separates locally from the inner film layer.
