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Page 20 of 31                            Lee et al. Soft Sci 2024;4:38  https://dx.doi.org/10.20517/ss.2024.36

               Conversely, elastomer substrates with inherent stretchability offer substantial advantages over the previously
               discussed structured plastic substrates from a free-form display standpoint [134,135] . These benefits include
               enabling high-resolution applications and maintaining stable deformation in environments with dynamic
               and multiple deformations. To fully leverage these benefits, it is desirable for the light-emitting parts formed
               on the substrate to also possess stretchability. Proposed methods include forming wrinkle structures on the
               elastomer surface to impart structural stretchability to the light-emitting parts [136,137]  and developing new
               materials to construct light-emitting parts with inherent stretchability [138,139] . In summary, the ideal
               combination of light-emitting components and strain-engineered substrates is chosen based on the specific
               demands of free-form displays, with Table 1 presenting the properties of each stretchable substrate and key
               considerations for their application in free-form displays.


               Display applications on structured plastic substrates
               As previously mentioned, structured plastic substrates have been widely studied in early stretchable display
               research due to their structural simplicity and high manufacturing efficiency. This approach allowed
               companies to maintain existing display processes while avoiding complex additional steps, leading to
               extensive adoption and the presentation of prototype products at numerous exhibitions. For instance, Jeong
               et al. employed a plastic composite substrate with precisely controlled short wrinkle wavelengths to mitigate
               pixel distortion caused by traditional wrinkle structures used for stretchability in flexible substrates and to
               reduce spatial loss in displays . In this study, a thin PI-based plastic composite substrate was utilized to
                                        [140]
               fabricate a thin-film LED (TFLED). Compared to conventional macroscopic wrinkle structures, the short-
               wavelength wrinkle structure with a 20 µm wavelength significantly reduced visible image distortion,
               demonstrating excellent visual quality and potential for application in high-resolution free-form displays
               and wearable devices [Figure 16A]. Kim et al. developed a wearable QD-LED for stretchable optoelectronic
               applications by incorporating a wrinkle structure on a polyethylene naphthalate (PEN) substrate, which
                                                         [141]
               offers superior thermal stability compared to PET . After forming the device on the PEN substrate, it was
               transferred to a pre-stretched elastomer substrate, creating a wrinkle structure that allowed the device to
               operate stably under stretch conditions of up to 70% [Figure 16B]. Furthermore, the elastomer beneath the
               plastic layer enabled easy attachment to the skin, demonstrating potential for use in various wearable
               electronic applications. Additionally, Yin et al. developed an energy self-powered stretchable display system
               by transferring a stretchable OLED and a stretchable polymer solar cell onto a plastic substrate, then
                                               [142]
               forming a periodic buckling structure . Using a stencil-based deposition method, they created alternating
               adhesive and non-adhesive regions on the substrate, attaching devices to a pre-stretched substrate and
               releasing it to achieve the buckled display system. This configuration achieved a maximum stretchability of
               100% and consistently maintained performance even after more than 20,000 cycles of stretching and
               recovery [Figure 16C].


               Kirigami-structured flexible plastic substrates are widely used in stretchable display applications,
               particularly for controlling in-plane deformations such as Poisson’s ratio. Jang et al. introduced research
               that combines an auxetic meta-structure with a Kirigami pattern to improve image distortion in stretchable
                      [143]
               displays . The auxetic metamaterial, which has a negative Poisson’s ratio, expands laterally when stretched
               axially, allowing for stable display operation even under 24.5% stretch conditions. The designed Poisson’s
               ratio of -1 helps maintain the original image after stretching, and this design allows for uniform
               deformation when attached to curved surfaces [Figure 17A], making it suitable for skin-attached
               phototherapy devices or displays that can be affixed to non-spherical surfaces. Deng et al. implemented a
               display device using a PEN substrate with a rotating square Kirigami pattern, designed for applications in
               curved tensile environments . The integration of the driving flexible printed circuit board (FPCB) and
                                        [144]
               LED elements on the PEN substrate provided up to 57% bidirectional stretchability, and the device
               demonstrated stable operation even on complex 3D curved surfaces such as cylindrical, spherical, and
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