Flexible display apparatus

1. A flexible display apparatus comprising:

a display panel comprising:

a bending area configured to bend or fold around a bending axis; and

non-bending areas extending from respective edges of the bending area;

a support member on the display panel across the bending area and the non-bending areas, and comprising an adhesive layer defining a groove at the bending area, and a base layer overlapping the adhesive layer and the groove, a portion of a surface of the base layer defining a portion of the groove and comprising a different material than that of the adhesive layer, and the adhesive layer being located between the base layer and the display panel; and

a cover member facing the display panel such that at least a portion of the support member is between the display panel and the cover member,

wherein the display panel is configured to be inserted into the groove when the display panel is bent, and withdrawn from the groove when the display panel is unbent,

wherein the groove extends in a direction parallel to the bending axis,

wherein a thickness of the groove is substantially equal to a thickness of the adhesive layer, and

wherein the adhesive layer is continuously disposed on the non-bending areas.

2. The flexible display apparatus of claim 1 , wherein a center of curvature in the bending area when the display panel is bent or folded is closer to the display panel than the support member.

3. The flexible display apparatus of claim 1 , wherein the display panel further comprises a display unit therein, and

wherein both edges of a surface of the display panel are configured to be bent or folded to face each other.

4. The flexible display apparatus of claim 1 , wherein the non-bending areas of the display panel comprise a first non-bending area and a second non-bending area, and

wherein the cover member defines a space between a first portion of the cover member at the first non-bending area and a second portion of the cover member at the second non-bending area such that respective top surfaces of the first and second portions of the cover member are separated by the space, and such that respective bottom surfaces of the first and second portions of the cover member are separated by the space.

5. The flexible display apparatus of claim 4 , wherein the groove overlaps the space.

6. The flexible display apparatus of claim 1 , wherein a first portion of the support member at the bending area is longer than a second portion of the display panel at the bending area in a direction crossing the bending axis.

7. The flexible display apparatus of claim 1 , wherein the base layer comprises at least one material selected from a group consisting of polyethylene terephthalate (PET), polyethylene naphthalate (PEN), polyethylene sulfide (PES), and polyethylene (PE).