Table 3.

Scaling relations for modulus of elasticity, yield strength and permeability of the diamond and gyroid structures; Re1 and Re10 correspond to Reynolds numbers of 1 and 10

Diamond	$E_{app}=E\ast 0.1977\ast {\left(1-\phi \right)}^{1.747}$	R2.9965
	${S_y}_{app}=S_y\ast 0.7427\ast {\left(1-\phi \right)}^{1.937}$	R2.9995
	Extrapolated $k_{Re1}=23.56\ast {10}^{-9}\ast {\left(1-\phi \right)}^{-0.5978}$ Extrapolated $k_{Re10}=2.159\ast {10}^{-9}\ast {\left(1-\phi \right)}^{-1.031}$	R2.8671 R2.9543
Gyroid	$E_{app}=E\ast 0.0938\ast {\left(1-\phi \right)}^{0.884}$	R2.9826
	${S_y}_{app}=S_y\ast 0.5865\ast {\left(1-\phi \right)}^{1.569}$	R2.9936
	Extrapolated $k_{Re1}=10.94\ast {10}^{-9}\ast {\left(1-\phi \right)}^{-1.166}$ Extrapolated $k_{Re10}=2.041\ast {10}^{-9}\ast {\left(1-\phi \right)}^{-1.002}$	R2.9700 R2.9477