The horizontal axis is labeled “Porosity, V f” and ranges from 0 to 0.2 in increments of 0.05 units. The vertical axis is labeled “Poisson’s Ratio, nu” and ranges from 0.05 to 0.4 in increments of 0.05 units. Four series are shown in the legend: “Analytical solution”, “Numerical results-S C”, “Numerical results-B C C”, and “Numerical results-F C C”. All series begin near 0.26 at zero porosity. The analytical solution remains nearly constant around 0.26 across all porosity values. The S C results show a gradual decrease from about 0.26 at 0 to around 0.235 at 0.2. The B C C and F C C results remain close to 0.255 with minimal variation. Note: All numerical data values are approximated.Poisson’s ratio as a function of porosity for the three periodic closed-cell porous structures
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