Cigarettes which heat but do not burn tobacco are described, preferably having a carbonaceous fuel element extruded around a physically separate aerosol generating means, comprising an aerosol forming material. These cigarettes are capable of producing substantial quantities of aerosol, both initially and over the useful life of the article, without significant thermal degradation of the aerosol former and without the presence of substantial pyrolysis or incomplete combustion products. Preferably, a barrier member is provided to substantially prevent fluid flow between the aerosol generating means and the fuel element. The barrier member is disposable as the cigarette burns back.Also described are embodiments wherein the aerosol generating means encircles at least a portion of the extruded fuel element.In addition, apparatus and method for making smoking articles are described.