Provided are induction heating cells including pressure bladders used for supporting dies and methods of using these induction heating cells. A pressure bladder may be disposed between a die and a bolster of the cell. Even when the bolster is deformed during operation of the cell, the pressure bladder continues to provide uniform support to the die thereby preserving integrity of the die and prevents its cracking or braking. As such, the cell may be operated at a higher processing pressure inside the cavity formed by the die without further strengthening the bolster. The bolster is allowed to deform without compromising the integrity of the die. The deformation of the bolster is compensated by the shape change of the pressure bladder. The number and/or position of the bladders in the cell may depend on the shape of processed parts.