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

Chinese Journal of Lasers, Volume. 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

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

show less

Abstract Get PDF(in Chinese)

Figures & Tables(20)

Fig. 1. Four kinds of lattice structure designs. (a) Unit cells with different relative densities; (b) relationship between parameter $t$ and relative density $ρ^{*}$

Download full size

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

Download full size

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)

Download full size

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

Download full size

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

Download full size

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)

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

Table 1. Chemical composition of Ti-6Al-4V alloy powder
View table
Table 1. Chemical composition of Ti-6Al-4V alloy powder
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 2. Mechanical properties of TPMS lattice structures and corresponding descriptions

View table

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

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 3. Performance parameters set in Johnson-Cook model of SLM manufacturing Ti-6Al-4V
View table
Table 3. Performance parameters set in Johnson-Cook model of SLM manufacturing Ti-6Al-4V
Parameter Value
A /Pa 997
B /MPa 746
N 0.325
D₁ 0.005
D₂ 0.43
D₃ -0.48

Table 4. Compressive properties of each lattice structure

View table

Table 4. Compressive properties of each lattice structure

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

Tools

Get Citation

Copy Citation Text

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

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Laser Additive Manufacturing

Received: Jul. 5, 2022

Accepted: Sep. 8, 2022

Published Online: Jun. 6, 2023

The Author Email: Xie Haiqiong (xiehq@cqupt.edu.cn)

DOI:10.3788/CJL221026

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

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

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

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

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

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

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

Table 4. Compressive properties of each lattice structure

Table 4. Compressive properties of each lattice structure