The flexible screen module is a composite structure of different screen film layers and OCA (Optical Clear Adhesive) stacking which has good display effect and flexibility. As a new type of extending a flexible screen, its mechanical behavior remains to be studied. This paper establishes a numerical model based on the finite element method for the double scroll structure applicable to the flexible slidable screen, and numerically analyzes the effects of different scroll radii, stacking structure order and thickness shapes of the adhesive layer on the mechanical properties of the screen during sliding process. The results show that the stress of the flexible screen module during the sliding process increases with the decrease of the scroll radius, the maximum stress appears in the support film layer, and the optimal scroll radius is between 3 mm to 3.5 mm. Interchanging the stacking order of the OLED layer and the backplane layer so that the OLED layer is located in the middle of the entire module can not optimize the stress of the OLED layer. The thickness shape of the adhesive layer can offset the position of each film layer, where the stress of the OLED layer is mainly influenced by its own offset and less influenced by the offset of other film layers.