Abstract: Induction heating apparatus for a dieless drawing operation includes a flexible induction coil made from a flexible metallic strip contained within an elastomeric sleeve which also defines a cooling fluid passage. The coil is sufficiently flexible to be capable of being formed into a shape which substantially conforms to that of a workpiece being heated at any point along the length of the workpiece. The apparatus of the invention also includes cam followers connected to the coil and cams which represent the shape of the workpiece over which the followers move during the heating operation to change the shape of the coil as required to maintain the coil at a substantially constant distance from the surface of the workpiece.