Numerical-experimental prediction of the elastic modulus of resin printed gyroid geometries in tension

Using structures with triply periodic minimal surfaces (TPMS) is a relatively new field that requires attention. They offer advantages such as high porosity and high area-to-volume ratio, which are essential in applications related to bioengineering, heat exchangers, and energy absorption. This work studied the elastic modulus and structural response in the tension of resin-printed geometries with the gyroid structure. The constants C and n for the Gibson-Ashby model in tension state were estimated using finite element simulations. A numerical-experimental comparison was performed to validate the use of finite element simulation to obtain the constants. The constants were obtained using the relative densities of 20%, 30%, 40%, and 50%. The evaluated constants accurately predict the elastic modulus for test relative densities of 25%, 35%, 45%, and 60% with low errors of 0.64%, 2.48%, 3.42%, and 8.32% respectively. In addition, using Hooke’s law and the Gibson-Ashby model, we obtained a practical approach to predicting the reaction force with errors ranging from 0.64% to 5.80%. These findings contribute to the analysis of the application of the Gibson-Ashby model in tension, finding C and n constants to predict the elastic modulus and structural response of the gyroid structure, offering valuable information for structural design and engineering applications. The validated model provides an efficient procedure that predicts material behavior under tensile conditions, saving time and resources compared to full-scale experimental testing. Overall, this study offers potential for further research in analyzing the mechanical properties of TPMS and lattice structures.