Table 1 Node coordinates of a diamond lattice cell in a hexahedral element

From: Laser powder bed fusion of complex metal lattice metamaterials: a structurally robust holistic design approach

Lattice cell: Diamond

Hexahedral element nodes

Node number

Coordinate \(\left({\xi }_{i},{\eta }_{i},{\zeta }_{i}\right)\)

Node number

Coordinate \(\left({\xi }_{i},{\eta }_{i},{\zeta }_{i}\right)\)

I

(1, −1, −1)

V

(1, −1, 1)

II

(1, 1,−1)

VI

(1, 1, 1)

III

(−1, 1, −1)

VII

(−1, 1, 1)

IV

(−1, −1, −1)

VIII

(−1, −1, 1)

Lattice cell nodes

Node number

Coordinate \(\left({\xi }_{j},{\eta }_{j},{\zeta }_{j}\right)\)

Node number

Coordinate \(\left({\xi }_{j},{\eta }_{j},{\zeta }_{j}\right)\)

1

(−1, −1, −1)

8

(0, 1, 0)

2

(−0.5, −0.5, −0.5)

9

(−0.5, 0.5, 0.5)

3

(−1, 0, 0)

10

(0, 0, 1)

4

(0, −1, 0)

11

(−1, 1, 1)

5

(0.5, 0.5, −0.5)

12

(0.5, −0.5, 0.5)

6

(0, 0, −1)

13

(1, 0, 0)

7

(1, 1, −1)

14

(1, −1, 1)

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