The growing demand for sustainability across the industrial and transportation sectors is driving the development of efficient and lightweight structural solutions. Among these, lattice structures based on triply periodic minimal surfaces (TPMS), such as Gyroid and Primitive, and lattices based on plate-like architectures, such as body-centred cubic (BCC) and face-centred cubic (FCC), have demonstrated significant potential for impact energy absorption and heat exchange applications. However, the absence of standardized procedures for the structural and multi-physical characterization of lattice materials limits an organized comparison of research progresses. While compression-compression and bending fatigue tests have been more commonly investigated by the academic community, static tensile tests and fatigue analysis under tension-compression cycles have not yet been explored to a comparable extent.