Figure 11
A set of six line graphs shows true stress versus true strain for S C, B C C, and F C C at two m values.The six panels, labeled “(a)” to “(f)”, are arranged in three rows and two columns. The top row shows “S C, strain rate: 0.01 per second, m: 0.0316” and “S C, strain rate: 0.01 per second, m: 0.1633”; the middle row shows “B C C, strain rate: 0.01 per second, m: 0.0316” and “B C C, strain rate: 0.01 per second, m: 0.1633”; and the bottom row shows “F C C, strain rate: 0.01 per second, m: 0.0316” and “F C C, strain rate: 0.01 per second, m: 0.1633”. In each panel, the horizontal axis is labeled “epsilon true” and ranges from 0 to 0.06 in increments of 0.01 units, while the vertical axis is labeled “lowercase sigma true (megapascals)” and ranges from 0 to 300 for m: 0.0316 panels and from 0 to 600 for m: 0.1633 panels, both in increments of 50 units. Each panel shows five curves labeled “V f: 0 percent”, “V f: 5 percent”, “V f: 10 percent”, “V f: 15 percent”, and “V f: 20 percent”. All curves rise sharply from near zero strain and then reach a plateau. In all materials, the plateau stress decreases as porosity increases. Panels m: 0.0316: For S C, the highest plateau is near 265 megapascals for 0 percent porosity and decreases to around 190 megapascals for 20 percent porosity. For B C C, the highest plateau is near 265 megapascals for 0 percent porosity and decreases to around 170 megapascals for 20 percent porosity. For F C C, the highest plateau is also near 265 megapascals for 0 percent porosity and decreases to around 180 megapascals for 20 percent porosity. Panels m: 0.1633: For S C, the highest plateau is near 510 megapascals for 0 percent porosity and decreases to around 360 megapascals for 20 percent porosity. For B C C, the highest plateau is near 510 megapascals for 0 percent porosity and decreases to around 330 megapascals for 20 percent porosity. For F C C, the highest plateau is also near 510 megapascals for 0 percent porosity and decreases to around 350 megapascals for 20 percent porosity. Arrows and labels indicate the porosity values for each curve. Note: All numerical data values are approximated.

Simulated true stress–true strain curves of the periodic closed-cell porous structures with various void fractions and m values, subjected to loading at a strain rate of 0.01 s−1: (a) SC, m = 0.0316, (b) SC, m = 0.1633, (c) BCC, m = 0.0316, (d) BCC, m = 0.1633, (e) FCC, m = 0.0316, (f) FCC, m = 0.1633

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