Abstract: A method for weakening a portion of a web includes moving a web in a machine direction between at least a first location and a second location, wherein the second location is positioned downstream of the first location, forming a line of weakness in the web at the first location, wherein the web has a first tensile strength across the line of weakness, and weakening the line of weakness at a second location, wherein the web has a second tensile strength across the line of weakness after the line of weakness is weakened at the second location and wherein the first tensile strength is greater than the second tensile strength.

Abstract: A method for weakening a portion of a web includes moving a web in a machine direction between at least a first location and a second location, wherein the second location is positioned downstream of the first location, forming a line of weakness in the web at the first location, wherein the web has a first tensile strength across the line of weakness, and weakening the line of weakness at a second location, wherein the web has a second tensile strength across the line of weakness after the line of weakness is weakened at the second location and wherein the first tensile strength is greater than the second tensile strength. In another aspect, a method includes moving a web through a nip, wherein the nip is defined by first and second moveable members. The first moveable member comprises at least one insert member and the second moveable member comprises at least one recess shaped to receive the insert member.