Procedures for the production of multilayer shock-absorbing films specify the heating of one side of each polymeric film by irradiation to the plasticizing temperature, subsequent contact between the films, and their fusion one to the other [1, 2]. Equipment for the production of shock-proof metal based on a dual-layer polymeric film (Fig. 1) operates in the following manner. A single initial film 13 proceeds from unrolling device 12 onto the outer surface of drum 11 using roller 14, is heated to the molding temperature by the drum and infrared heater 10, is shaped under a vacuum in chamber 9, and approaches the point where it comes in contact with the drum and take-up roller 2. A second initial film 6 is directed from unrolling device 7 via guide roller 3 onto take-up roller 2, heated to the plasticizing temperature by guide roller and heater 8, and approaches the point where it comes in contact with the drum and roller 2. Here, both films are compressed and fused. As the drum continues to move, the fused films are cooled, and run together along guide roller 1 from the drum, forming finished product 4, which is wound into a roll by device 5. To avoid rejection, heating of the shock-absorbing film should be carried out in a manner such that the unheated side of the film in contact with the drum (mold) does not fuse to the latter, since in the opposite case, the film will adhere to the drum. The specifics of the film-heating process under consideration is manifested in the rigorous temperature dependence of the thermophysical properties of the polymeric material. In the temperature range of interest to us, the heat conduction and density of the polyethylene vary by 1‐20%, and the heat capacity by 3‐5 times. For calculation of the parameters of the process under consideration, it is therefore impossible to take advantage of familiar analytical solutions of the problem of the heating of a flat plate [3, 4], which are derived on the assumption of constant thermophysical properties of the plate material. The problem of the heating of the film was solved numerically. The heat-conduction equation, and the initial and boundary conditions assume the form