Abstract: A cylindrical vulcanization housing with an axis XX?, formed by a lower pan and an upper pan kept in the closed position during vulcanization, and delimiting an enclosure containing a mould and associated components that delimit a closed internal volume (Vi) configured to receive a heat transfer fluid at a pressure P1, the projection of said internal volume (Vi) on a plane perpendicular to the axis XX? forming a surface whose area is S1. A reshaping envelope (3), configured to receive a fluid at a pressure P2 is positioned axially between the axially outer walls of the mould parts and the vulcanization pan, the projection of said volume of said reshaping envelope on a plane perpendicular to the axis XX? delimiting a surface with an area S2, such that S2*P2 is greater than S1*P1.