Optimization of Structure and Performance of Minimal Surface Lattice Formed by Selective Laser Melting

Fei Liu; Yichuan Tang; Haiqiong Xie; Chenke Zhang; Junjie Chen

doi:10.3788/CJL221026

Journals >Chinese Journal of Lasers >Volume 50 >Issue 12 >Page 1202303 > Article

Chinese Journal of Lasers
Vol. 50, Issue 12, 1202303 (2023)

Optimization of Structure and Performance of Minimal Surface Lattice Formed by Selective Laser Melting

Fei Liu^1、2, Yichuan Tang¹, Haiqiong Xie^1、2、*, Chenke Zhang², and Junjie Chen¹

Author Affiliations

¹School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

²Sports Medicine Center, First Affiliated Hospital of the Army Medical University, Chongqing 400037, China

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DOI: 10.3788/CJL221026 Cite this Article Set citation alerts

Fei Liu, Yichuan Tang, Haiqiong Xie, Chenke Zhang, Junjie Chen. Optimization of Structure and Performance of Minimal Surface Lattice Formed by Selective Laser Melting[J]. Chinese Journal of Lasers, 2023, 50(12): 1202303 Copy Citation Text

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Four kinds of lattice structure designs. (a) Unit cells with different relative densities; (b) relationship between parameter t and relative density ρ*

Fig. 1. Four kinds of lattice structure designs. (a) Unit cells with different relative densities; (b) relationship between parameter

t

and relative density

ρ^{*}

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Fig. 2. Design method of surface offset for I-WP lattice structure by Boolean operation

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Fig. 3. Diamond, Gyroid, Primitive and I-WP design and manufactured rod structure (rod 15) and sheet structures (sheet 30-15 and sheet 45-30)

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Fig. 4. Morphology and particle size distribution of Ti-6Al-4V powder used in experiment. (a) SEM image of Ti-6Al-4V powder;(b) particle size distribution

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Fig. 5. Deformation behaviors of lattices structure during experimental compression

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Fig. 6. Division of tetrahedral mesh C3D10M of I-WP sheet 45-30 lattice structure in FEM (the right image is partially enlarged morphology of left image)

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Fig. 7. Compressive stress-strain curves of Diamond, Primitive, Gyroid and I-WP lattice structures. (a) Diamond lattice structure;(b) Primitive lattice structure; (c) Gyroid structure; (d) I-WP lattice structure

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Fig. 8. Deformation of Diamond, Primitive, Gyroid and I-WP lattice structures with rod 15, sheet 30-15 and sheet 45-30 types in compression test

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Fig. 9. Comparison of stress-strain curves obtained by physical compression test and finite element simulation. (a) Diamond lattice structures; (b) Primitive lattice structures; (c) Gyroid structures; (d) I-WP lattice structures

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Fig. 10. Comparison of ultimate strength obtained by numerical simulation and compression test. (a) Diamond lattice structures;(b) Primitive lattice structures; (c) Gyroid structures; (d) I-WP lattice structures

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Fig. 11. Simulated plastic deformation of Diamond lattice structures in compression process

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Fig. 12. Simulated plastic deformation of Primitive lattice structures in compression process

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Fig. 13. Simulated plastic deformation of Gyroid lattice structure in compression process

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Fig. 14. Simulated plastic deformation of I-WP lattice structures in compression process

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Fig. 15. Cumulative energy absorption and fitting curves of each lattice structures. (a) Diamond lattice structures; (b) Primitive lattice structures; (c) Gyroid structures; (d) I-WP lattice structures

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Fig. 16. Cumulative energy absorption and plateau stress of each structure for strain of 50%

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Element	Mass fraction /%
Ti	Balance
Al	5.5-6.75
V	3.5-4.5
O	<0.2
N	<0.05
C	<0.08
H	<0.015
Fe	<3

Table 1. Chemical composition of Ti-6Al-4V alloy powder

Nomenclature	Description
ρ^* /%	Relative density of the lattice structures
$σ$ /MPa	Stress，calculated by dividing the load by the apparent cross-sectional area
$ε$ /%	Stain，calculated by dividing the displacement by sample’s height
$E$ /GPa	Young’s modulus of the lattice structure，which is the slope of linear phase of stress-strain curve
$σ_{s}$ /MPa	Yield strength of the lattice structure，identified with the compressive 0.2% offset stress
$ε_{s}$ /%	Yield strain，the strain produced when yield strength is reached
$σ_{b}$ /MPa	Ultimate strength of the lattice structure，measured as the first peak on the stress-strain curve
$ε_{b}$ /%	Ultimate strain，the strain produced when the ultimate strength is reached
$σ_{p l}$ /MPa	Plateau stress，average stress from $ε$ =20% to $ε$ =40%
$W_{V}$ /（MJ·m^-3）	Cumulative energy absorption per unit volume up to $ε$ =50%

Table 2. Mechanical properties of TPMS lattice structures and corresponding descriptions

Parameter	Value
A /Pa	997
B /MPa	746
N	0.325
D₁	0.005
D₂	0.43
D₃	-0.48

Table 3. Performance parameters set in Johnson-Cook model of SLM manufacturing Ti-6Al-4V

Structure	$σ_{s}$ /MPa	$ε_{s}$ /%	$σ_{b}$ /MPa	$ε_{b}$ /%	$E$ /MPa
D rod 15	39.34±1.23	4.94	48.84±0.21	9.35	982.500±14.654
D sheet 30-15	70.67±1.11	5.21	86.68±0.12	11.13	1755.196±21.988
D sheet 45-30	91.27±0.77	5.14	112.51±0.09	11.13	2219.714±22.124
P rod 15	52.96±2.11	3.89	67.86±0.26	8.87	1932.197±33.484
P sheet 30-15	84.50±1.03	5.15	99.79±0.14	8.74	2054.919±3.398
P sheet 45-30	67.43±1.31	4.78	80.34±0.13	8.24	1715.439±19.954
G rod 15	38.12±1.19	4.52	51.40±0.14	9.08	1137.651±45.607
G sheet 30-15	66.02±3.00	4.15	86.72±0.03	9.36	1996.746±63.557
G sheet 45-30	80.24±0.70	5.03	103.59±0.25	9.25	2121.357±15.393
W rod 15	24.96±0.87	4.26	32.37±0.22	8.99	681.473±1.303
W sheet 30-15	62.15±1.21	4.58	77.92±0.15	10.44	1677.287±2.883
W sheet 45-30	93.89±0.96	6.16	111.64±0.24	10.12	2181.133±158.558

Table 4. Compressive properties of each lattice structure

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