An OLED display, comprising: a substrate; an OLED having two spaced-apart electrodes and organic layers disposed there between, and the OLED disposed over the substrate; an encapsulation container fixed by perimeter seal to the substrate and disposed over the OLED to provide an enclosure; and the substrate or the encapsulation container, or both, including compliant regions that flex, compress, or expand under stress and reduce stress transfer between the substrate and the encapsulation container through the perimeter seal.