Additive manufacturing has been quickly applied to industries due to its advantages on combination with computers [1-4]. However, the key features of additive manufacturing are basically different to the traditional manufacturing technologies. The microstructures can reveal anisotropy in fabrications [5-6]. The formation of the anisotropic microstructures in additive manufacturing can lead to anisotropic mechanical properties. Then, the residual stresses and distortions can be highly relevant to the formed microstructure features. To reveal the internal relationship between the microstructures and properties in additive manufacturing, thin walled-structures with triply periodic minimal surfaces were fabricated by powder bed fusion. The microstructures and residual states were studied in detail. Experiments were performed to measure the microstructures and mechanical properties. Then, the measured data was combined with the established sequentially coupled thermo-mechanical model to connect the residual states. The finite element model of the thin walled-structures with triply periodic minimal surfaces considering the residual states as pre-stresses and pre-strains was built. The mechanical properties and the structural performance including the wave controlling properties of the thin walled-structures with triply periodic minimal surfaces were then studied to show how the residual states affect the final properties. REFERENCES [1] Ngo TD, Kashani A, Imbalzano G, et al. Additive manufacturing (3D printing): A review of materials, methods, applications and challenges, Composites Part B, 2018, 143: 172-196. [2] Yap CY, Chua CK, Dong ZL, et al. Review of selective laser melting: Materials and applications, Applied Physics Reviews, 2015, 2: 041101. [3] Blakey-Milner B, Gradl P, Snedden G, et al. Metal additive manufacturing in aerospace: A review, Materials & Design, 2021, 209: 110008. [4] Zhang Z. A review on additive manufacturing of wave controlling metamaterial, International Journal of Advanced Manufacturing Technology, 2022, 124: 647-680. [5] Gao X, Yao XX, Wang YF, et al. Multiscale modeling of grain structure control in wire arc additive manufacturing of Ti6Al4V, Journal of Materials Research and Technology, 2025, 35: 3980-3993. [6] Zhang LC, Zhou HS, Chen JY, et al. Numerical simulation for microstructure control in wire arc additive manufacturing of thin-walled structures, Thin-Walled Structures, 2024, 205: 112581.