Nowdays, cellular structures are widely used in various industries such as aerospace, automotive, vibration absorbers, medical instruments and thermal insulation because of their unique characteristics such as low weight, high strength, high absorption capacity and adjustable mechanical properties.Triply Periodic Minimal Surface (TPMS) structures are very suitable for use in the medical and tissue engineering industry due to their high volume to surface ratio. For this reason, it is important to study the mechanical behavior of these structures due to different loading conditions. In the first part of this thesis, P and G structures were selected from a number types of TPMS structures were designed and fabricated using vat polymerization additive manufacturing process and their mechanical behaviors, including failure mechanisms and failure behavior, were studied through static, dynamic, and cyclic loading. The results showed that the P structure has a higher stability in static loading than the G type. In addition, it was observed that the failure mechanism of the structures was dependent to the strain rate. Possible explanations was suggested for such behavior. In the next part, this study examines the memory effects in Rhombic and BCC cell structures made from. The tests were defined in order to study the effects of temperature variations, strain rate, and cyclic loading on the thermo-mechanical behavior of structures. The results show that, with increasing temperature, the loading and unloading elastic modulus as well as the structural substrate strength decreases. By increasing the strain rate, the residual strain in the structure increases. The results of cyclic loading experiments indicate that, after the first cycle, mechanical behavior of the structure converges to a stabilized response. Key words: cellular structure, additive manufacturing, stereolithography , TPMS , cyclic loading , shape memory