A method of forming a flexible glass-polymer laminate structure includes heating a polymer layer to an elevated temperature of greater than 20° C. and below a working temperature of a flexible glass substrate adjacent the polymer layer. The flexible glass substrate has a thickness of no more than about 0.3 mm. The flexible glass substrate is shaped with the polymer layer at the elevated temperature. The polymer layer is cooled below the elevated temperature such that the flexible glass-polymer laminate structure maintains a non-planar formation.