This study presents a comprehensive investigation of bio-inspired rotating triply periodic minimal surface (RotTPMS) plates under thermo-mechanical loading conditions, advancing sustainable lightweight structural design through computational modeling. Three TPMS architectures including Primitive (P), I-Wrapped Package (IWP), and Gyroid (G) are analyzed using a quasi-3D higher-order shear deformation theory (HSDT) combined with isogeometric analysis (IGA). The research addresses critical thermal stability challenges in lightweight structures by examining thermal buckling and thermo-mechanical buckling behaviors across various crystalline rotations, relative densities, and temperature conditions. Results demonstrate that P-type RotTPMS structures exhibit superior thermal buckling resistance, with critical temperature rises up to 30% higher than other architectures, while maintaining optimal weight-to-performance ratios. The study reveals significant anisotropic characteristics in thermal responses, with crystalline rotations inducing variations of up to 300% in critical buckling loads at elevated temperatures. Temperature-dependent material properties substantially influence structural stability, reducing critical buckling temperatures by $15 % \div 30 %$ compared to temperature-independent analyses. These findings provide necessary insights for designing thermally stable lightweight structures in sustainable engineering applications, particularly relevant for aerospace and mechanical systems. The developed computational framework and material design principles contribute to advancing additive manufacturing (AM) capabilities for sustainable structural solutions, aligning with growing demands for energy-efficient and eco-friendly engineering materials.

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