Table 1. The periodic nodal equation for the TPMS structures investigated in the present study.

TPMS structures	Nodal equations (x,y and z are the nodal coordinates and C is a constant)
Diamond	UD = sin(x)sin(y)sin(z) + sin(x)cos(y)cos(z) + cos(x)sin(y)cos(z) + cos(x)cos(y)sin(z)—C
Gyroid	UG = cos(x)sin(y)+cos(y)sin(z)+cos(z)sin(x)—C
Schwarz P	US = cos(x) + cos(y) + cos(z)—C
Fischer-Koch S	UF = cos(2x)sin(y)cos(z) + cos(2y)sin(z)cos(x) + cos(2z)sin(x)cos(y)—C
F-RD	UR = 8cos(x)cos(y)cos(z) + cos(2x)cos(2y)cos(2z)-cos(2x)cos(2y) + cos(2y)cos(2z)+cos(2z)cos(2x)–C