A method of induction welding a first carbon fiber thermoplastic composite (TPC) to a second carbon fiber thermoplastic composite (TPC) using an induction coil includes aligning the first TPC with the second TPC to form a weld interface area, flexing a heat sink onto a surface of the first TPC between the weld interface area and the induction coil, and inductively heating the weld interface area with the induction coil.