A glass element having a thickness from 25 μm to 125 μm, a first primary surface, a second primary surface, and a compressive stress region extending from the first primary surface to a first depth, the region defined by a compressive stress σI of at least about 100 MPa at the first primary surface. Further, the glass element has a stress profile such that it does not fail when it is subject to 200,000 cycles of bending to a target bend radius of from 1 mm to 20 mm, by the parallel plate method. Still further, the glass element has a puncture resistance of greater than about 1.5 kgf when the first primary surface of the glass element is loaded with a tungsten carbide ball having a diameter of 1.5 mm.