PSI - Issue 56

9

Kevin Moj et al. / Procedia Structural Integrity 56 (2024) 120–130 Author name / Structural Integrity Procedia 00 (2019) 000–000

128

Fig. 7. Methodology for performing homogenization analysis: (a) Classical; (b) Optimized based on minimum number of cells; (c) Optimized based on model with CT. 4. Conclusion The study investigates the effect of the number of cells on the effective Young's modulus of cellular structures. The two key parameters of the structure. the relative density. and topology of a single cell. are considered for stability analysis. The purpose of the study was to develop a procedure for determining the minimum number of cells that is required for a structure to exhibit a constant effective Young's modulus. Based on the literature review. it was not possible to clearly specify how many cells such a structure should contain. The study also proposed an optimization of the homogeneous method for cell structures.  The study revealed that the effective Young's modulus of cellular structures increases with the number of cells. but the growth rate decreases and reaches a plateau at some point. The size of a single cell has an insignificant effect on mechanical properties. An algorithm was developed to determine the minimum number of cells for a given cell and relative density.  The power approximation was found to be a better criterion for the relationship between the change in effective Young's modulus and the number of cells. A stability parameter C=0.85 was entered.  The relative density. rather than porosity. has a greater influence on the formation of cellular properties. However. taking into account all factors. such as defects or deviations. would allow a more accurate numerical analysis. The stiffness distribution for the minimum number of cells is slightly higher. but for