A functional multi-layer structure (100) comprising a substrate film (102) shaped or shapable to exhibit a selected shape (103) and a plurality of functional elements (110, 112, 114, 210), preferably including optical elements,
mechanical elements, opto-electrical elements, electrical elements and / or in particular electronic elements, such as conductors (112), insulators (114), components (110, 210) and / or integrated circuits (110, 210), disposed on the substrate film in a certain proximity of the shape (103); wherein the substrate film (102) is further provided with structure adjustment elements (116, 316, 416, 616, 716, 816, 916, 1016), optionally including elongated shapes (316, 416), circumferential shapes (616, 716) or other selected shapes, configured to locally control induced deformations of the substrate film within the proximity of the shape, optionally including stretching, bending, compression and / or shearing. Related manufacturing methods are presented.