TECHNOLOGY FOCUS - POLYMERS - Preferred Properties: The functional film has mixed layer (I) between the inorganic layers of lowest layer of the gas barrier support and organic inorganic laminated material. The organic inorganic laminated material has mixed layer (II) between the organic layer and inorganic layer laminated on the organic layer. The thickness of mixed layer (I) and mixed layer (II) is 1-20 nm, respectively. The adhesive force at 25 degrees C of the adhesion layer and back surface protective film is 0.05-0.2 N/25 mm. The thickness of the gas barrier support is 20-120 mu m. The thickness of one organic layer, and one inorganic layer of the organic inorganic laminated material is 0.5-5 mu m and 10-200 nm, respectively. The thickness of the adhesion layer, back surface protective film and surface protection film is 15-250 mu m, 12-100 mu m, and 20-100 mu m, respectively. The glass transition temperature of the gas barrier support and back surface protective film is 130 degrees C or more, and 70 degrees C or more, respectively. The adhesive force at 100 degrees C and at 200 degrees C of the gas barrier support and adhesion layer is 0.03-0.14 N/25 mm, and 0.04-0.13 N/25 mm, respectively. The adhesive force at 100 degrees C and at 200 degrees C of the adhesion layer and back surface protective film is 0.07-0.19 N/25 mm, and 0.08-0.18 N/25 mm, respectively. The friction coefficient of the back surface protective film is 0.6 or less. The Young's modulus of the surface protection film is 1/4 or less of the Young's modulus of the gas barrier support, and Young's modulus of the back surface protective film. The volumetric-shrinkage rate during crosslinking of the adhesion layer consisting of adhesive material containing 3-10C alkyl-group portion of acrylic acid alkyl monomer, at 25-150 degrees C and 100-1000 mJ/cm2 of ultraviolet irradiations is 3% or less. Preferred Process: The composite material is formed by coating and drying at 70 degrees C the composition used as an organic layer on the inorganic layer. Alternately, the composite material is formed by coating, drying and hardening with irradiation of ultraviolet ray. The heating is carried out by irradiation of ultraviolet ray from the back surface protective film side such that the temperature is 30 degrees C or more.