Abstract: Apparatus for diffusion bonding, brazing, or joining between respective surfaces of two parts, e.g., the exterior wall of a first annular cylinder and the interior wall of a concentric second annular cylinder, includes a cylindrical body having a circumferential cavity positioned between upper and lower ends thereof. A flexible annular membrane is disposed concentrically over the cavity, and respective upper and lower ends of the membrane are each sealingly hinged to the body. The body is assembled coaxially within the first cylinder, and the assembly then inserted coaxially into the second cylinder to the desired axial bonding position. The cavity is pressurized, causing the membrane, and responsively, the first cylinder, to expand radially within the second cylinder. The temperature of the parts is then raised and maintained for a selected period of time to bond the respective walls of the two cylinders to each other.