A composite expanded web for making a cigarette wrapper is provided, the web comprising a laminate of a first web of generally flat sheet material and a second web of expanded sheet material. The expanded web is formed by passing a web of sheet material through rotary shearing and forming dies to impart to the web a configuration having longitudinally disposed rows of generally sinusoidal convolutions extending above and below the original plane of the web, each row of convolutions lying 180.degree. out of phase from its abutting rows. The composite web is formed into a wrapper for a smoking article by curling it about its longitudinal axis, securing the overlapping edges of the first web with a glue seam, and cutting it to the desired length.