A glass-polymer laminate structure includes a flexible glass substrate having a thickness of no more than about 0.3 mm. A polymer layer is laminated to a surface of the flexible glass substrate having a coefficient of thermal expansion (CTE) that is at least about 2 times a CTE of the flexible glass substrate. The polymer layer is laminated to the surface of the flexible glass substrate after thermally expanding the polymer layer to provide the flexible glass substrate with an in-plane compressive stress of at least about 30 MPa along a thickness of the flexible glass substrate.