A flexible unitary sandwich-like panel overhead door (11) consists of two relatively thin elastic sheets (12) and (13) connected by a plurality of elongated parallel web panels (14) which have supporting rollers (16) attached. The sheet-web connections are hinged (15) so that the panel may be flexibly moved from a closed vertical position to an open overhead nearly horizontal configuration. A rectangular beam (17), attached to the elastic sheets, provides additional stability and strength to the door structure. Additional embodiments are described.