Lattice-Structured Metal 3D Printing for Eyewear
Comprehensive Technical Documentation for Manufacturing Implementation
Executive Summary: This document consolidates all technical specifications, design methodologies, and manufacturing parameters for implementing lattice-structured metal 3D printing in eyewear production, specifically optimized for Sculpteo (France) and Imaginarium (Mumbai) manufacturing partnerships.
Section 1: Lattice Physics & Mechanical Properties
1.1 Fundamental Lattice Structures
STRUT-BASED LATTICES: SURFACE-BASED (TPMS):
BCC (Body-Centered Cubic): Gyroid Structure:
●─────────────● ╭∽∽╮ ╭∽∽╮ ╭∽∽╮
╱│ ╱│ ╱ ╲╱ ╲╱ ╲
╱ │ ╱ │ │ ╭∽∽╮ ╭∽∽╮ ╭∽∽╮
╱ │ ╱ │ │ ╱ ╲╱ ╲╱ │
●─────────────● │ ╰╯ ╰────╯ │
│ │ ◆ │ │ ╲ ╱╲ ╱╲ ╱
│ │ ╱ ╲ │ │ ╰∽∽╯ ╰∽∽╯ ╰∽∽╯
│ ●─╱───╲───│───●
│ ╱ ╱ ╲ │ ╱ Equation:
│ ╱ ╱ ╲ │ ╱ sin(2πx/a)cos(2πy/a) +
│╱ ╱ ╲│╱ sin(2πy/a)cos(2πz/a) +
●─────────────● sin(2πz/a)cos(2πx/a) = 0
1.2 Mechanical Properties by Structure Type
| Structure Type |
Relative Density |
Elastic Modulus |
Yield Strength |
Failure Mode |
| BCC |
0.30-0.40 |
E* = 0.12Es(ρ*)¹ |
σ* = 0.09σs(ρ*)¹ |
Stretch-dominated |
| FCC |
0.35-0.45 |
E* = 0.15Es(ρ*)¹ |
σ* = 0.11σs(ρ*)¹ |
Stretch-dominated |
| Gyroid |
0.50 |
E* = 0.19Es(ρ*)² |
σ* = 0.14σs(ρ*)¹·⁵ |
Progressive |
| Diamond |
0.45 |
E* = 0.17Es(ρ*)² |
σ* = 0.12σs(ρ*)¹·⁵ |
Progressive |
1.3 Maxwell Criterion for Structural Efficiency
M = b - 3j + 6
Where: M = Maxwell number, b = struts, j = joints
M ≥ 0: Stretch-dominated (optimal)
M < 0: Bending-dominated (avoid)
1.4 Critical Buckling Analysis
Pcr = π²EI/(KL)²
For circular struts: I = πd⁴/64
Minimum strut diameter: d ≥ 0.3mm (LPBF limit)
Maximum unsupported length: L ≤ 6mm
Section 2: CAD Design Specifications
2.1 Parametric Lattice Generation Code
class LatticeEyewearFrame:
def __init__(self, scan_data):
self.base_geometry = scan_data
self.stress_field = None
self.lattice_params = {
'cell_size': 3.5, # mm
'min_thickness': 0.4, # mm for Ti
'max_thickness': 1.0, # mm
'min_density': 0.15,
'max_density': 0.60
}
def generate_variable_lattice(self):
# 1. FEA Analysis
self.stress_field = FEA_solve(
self.base_geometry,
load_cases=['nose_pressure', 'temple_flex']
)
# 2. Density Mapping
density_field = remap(
self.stress_field,
self.lattice_params['min_density'],
self.lattice_params['max_density']
)
# 3. TPMS Generation
if material == 'Ti64':
thickness_field = interpolate(0.3, 0.8, density_field)
elif material == 'PA12':
thickness_field = interpolate(0.5, 1.2, density_field)
# 4. Boolean Operations
inner_offset = self.base_geometry.offset(-2.0)
outer_offset = self.base_geometry.offset(0)
lattice_volume = boolean_subtract(outer_offset, inner_offset)
return apply_tpms(lattice_volume, thickness_field)
2.2 Design Rules for Printability
OVERHANG CONSTRAINTS:
❌ Requires Support ✓ Self-Supporting
←────30° ←──45-60°
╱ ╱╲
╱ ╱ ╲
╱ ╱ ╲
──┴─── ──┴──────┴──
| Parameter |
Ti64 |
PA12 |
316L |
| Strut diameter |
0.3mm |
0.5mm |
0.4mm |
| Wall thickness |
0.4mm |
0.7mm |
0.5mm |
| Gap clearance |
0.2mm |
0.3mm |
0.2mm |
| Cell size range |
2-6mm |
3-8mm |
2-5mm |
| Escape holes |
N/A |
2.0mm |
N/A |
2.3 Temple with Gradient Lattice Design
TOP VIEW - Variable Density Distribution:
←─ Hinge ─→←──────── Gradient Lattice ────────→←─ Ear tip ─→
█████████╬╬╬╬╬╬╬╬╬╬╫╫╫╫╫╫╫╫╫╋╋╋╋╋╋╋┼┼┼┼┼┼░░░░░░█████████
SIDE VIEW - Density Profile:
┌────────┬──────────────────────────────────┬────────────┐
│ SOLID │ VARIABLE DENSITY LATTICE │ SOLID │
│ 100% │ 60% → 50% → 40% → 30% → 20% │ 100% │
└────────┴──────────────────────────────────┴────────────┘
CROSS-SECTIONS at 20mm intervals:
A-A B-B C-C D-D E-E
╔═══╗ ╬─┼─╬ ╫┼░┼╫ ┼░░░┼ ░░░░░
║███║ ╬─┼─╬ ░┼░┼░ ░░█░░ ░░█░░
╚═══╝ ╬─┼─╬ ╫┼░┼╫ ┼░░░┼ ░░░░░
Solid Dense Medium Sparse Minimal
Section 3: File Preparation & Standards
3.1 STL Export Settings
| Parameter |
Sculpteo (PA12) |
Imaginarium (Ti64) |
| Format |
STL ASCII |
STL Binary |
| Chord Height |
0.05mm |
0.01mm |
| Angle Control |
15° |
5° |
| File Size Limit |
100MB |
200MB |
| Mesh Quality |
Watertight |
Watertight + Manifold |
3.2 Build Preparation XML
<build_configuration>
<material>Ti-6Al-4V</material>
<machine>EOS_M290</machine>
<orientation>
<rotation_x>35</rotation_x>
<rotation_y>0</rotation_y>
<rotation_z>15</rotation_z>
<rationale>Minimize supports on lattice</rationale>
</orientation>
<support_strategy>
<type>tree_support</type>
<contact_diameter>0.6</contact_diameter>
<trunk_diameter>2.0</trunk_diameter>
<z_gap>0.3</z_gap>
<xy_gap>0.2</xy_gap>
</support_strategy>
<process_parameters>
<layer_thickness units="μm">30</layer_thickness>
<laser_power units="W">280</laser_power>
<scan_speed units="mm/s">1200</scan_speed>
<hatch_spacing units="mm">0.09</hatch_spacing>
<contour_passes>2</contour_passes>
</process_parameters>
</build_configuration>
Section 4: Manufacturing Parameters
4.1 LPBF Process Parameters by Material
| Parameter |
Ti-6Al-4V |
316L SS |
AlSi10Mg |
| Laser Power |
200-400W |
150-300W |
200-370W |
| Scan Speed |
800-1400 mm/s |
600-1000 mm/s |
1000-1650 mm/s |
| Layer Height |
30-60 μm |
20-40 μm |
30-50 μm |
| Hatch Spacing |
90-120 μm |
80-100 μm |
100-130 μm |
| Build Rate |
5-20 cm³/hr |
7-25 cm³/hr |
10-35 cm³/hr |
4.2 SLS Parameters for Polymers
| Parameter |
PA12 |
PA11 |
TPU |
| Laser Power |
20-30W |
25-35W |
15-25W |
| Layer Height |
100-120 μm |
100-120 μm |
120-150 μm |
| Chamber Temp |
170°C |
185°C |
90°C |
| Refresh Rate |
30-50% |
30-50% |
20-30% |
4.3 Post-Processing Workflow
Metal (Ti64):
- Cool Down (2-4 hrs)
- Powder Removal (compressed air)
- Support Removal (wire EDM/manual)
- Heat Treatment (800°C, 2 hrs, argon)
- Surface Finishing:
- Sandblast (Ra 5-10 μm)
- Tumble (Ra 2-5 μm)
- Polish (Ra 0.8-3.2 μm)
- Quality Control (CT scan)
Polymer (PA12):
- Cool Down (4-6 hrs)
- Powder Removal (bead blast)
- Dyeing (optional, 100°C, 30 min)
- Vapor Smoothing (optional)
- Assembly (lenses, pads)
Section 5: Economic Analysis
5.1 Total Cost Comparison (10,000 frames/year)
Traditional 5-Year TCO
$4,950,000
Metal AM 5-Year TCO
$4,875,000
Savings + Premium
+$2,075,000
5.2 Per-Unit Economics
| Cost Element |
Traditional |
Metal AM |
Polymer AM |
| Material |
$15 |
$50-150 |
$1.27-5 |
| Labor |
$40 |
$18 |
$8 |
| Equipment Amortization |
$9 |
$20 |
$10 |
| Overhead |
$10 |
$8 |
$5 |
| Total Cost |
$74 |
$96-196 |
$24-28 |
| Retail Price |
$200 |
$350-600 |
$150-200 |
| Margin |
63% |
65-73% |
84-86% |
Section 6: Partner-Specific Workflows
6.1 Sculpteo France Workflow
Process Flow:
- Upload Basic STL (no lattices needed)
- Sculpteo adds automatic lattice generation
- Thickness check (0.7mm minimum)
- System adds escape holes
- Quote generation
- Production
Contact: pro@sculpteo.com
Special Service: Eyewear Design Sprint Package - €3,000 for 3 designs
6.2 Imaginarium Mumbai Workflow
Requirements (They do NOT modify files):
- Complete lattice structures in STL
- Pre-designed support structures
- Fixed build orientation
- Process parameters included
Contact: Aditya Chandavarkar - aditya.c@imaginarium.io
Advantage: ~40% lower costs than European bureaus
Section 7: Hinge Design Library
7.1 Print-in-Place Hinge Types
CROSS-SPRING (IC! Berlin Patent EP1944646B1):
Side View: Top View:
╱╲ ===╳===
╱ ╲ Temple Frame
╳ ╳
╲ ╱ Specs:
╲╱ • Spring: 0.4mm (Ti)
• Travel: 8mm
• Gap: 0.15mm
SPIRAL HINGE (MYKITA Style):
Top View: Parameters:
●━━━@━━━● • Wraps: 1.5 turns
Temple Frame • Gap: 0.3mm
• Wire: 0.8mm dia
COMPLIANT MECHANISM (Monoqool):
┌─────┐ Material Properties:
│ ├~~⟨⟩~~┤ • Flexure: 0.5mm
│ │ │ • E-modulus utilized
└─────┘ • 50K cycles tested
7.2 Verified Source Files
| Source |
File Type |
Test Status |
Access |
| GrabCAD |
STL + CAD |
Ti & PA tested |
grabcad.com/library/eyeglasses-hinge-print-in-place-1 |
| Printables |
STL + SCAD |
PA12 validated |
printables.com/model/287634-parametric-eyeglass-hinge |
| MyMiniFactory |
F360 |
Both materials |
myminifactory.com/object/3d-print-184623 |
Section 8: Quick Reference Tables
8.1 Weight Achievements
| Product |
Material |
Weight |
Comparison |
| Monoqool Slider |
PA |
4g |
Lightest ever |
| POC Elicit Ti |
Ti64 |
22g |
4 sheets paper |
| Hoet Couture |
Ti64 |
25g |
5 paperclips |
| MYKITA MYLON |
PA11 |
15-20g |
3-4 paperclips |
| Traditional |
Acetate |
45-60g |
10-12 paperclips |
8.2 Market Data
| Metric |
2024 |
2029 (Projected) |
| Market Size |
$268M |
$829M |
| CAGR |
- |
25.3% |
| Premium Segment |
75% |
60% |
| Mass Market |
25% |
40% |
8.3 Critical Contacts
| Organization |
Contact |
Specialty |
| Sculpteo |
pro@sculpteo.com |
Design optimization |
| Imaginarium |
aditya.c@imaginarium.io |
Ti production |
| Objectify Tech |
design@objectify.co.in |
Indian market files |
| Treatstock |
design service portal |
Hinge conversion |
| Materialise |
eyewear@materialise.com |
Complete solutions |
8.4 Troubleshooting Guide
| Issue |
Cause |
Solution |
| Lattice collapse during print |
Insufficient support |
Add tree supports at 45° angles |
| Warping in Ti frames |
Residual stress |
Heat treat at 800°C for 2 hrs |
| Powder trapped in lattice |
Cell size too small |
Increase to 3mm minimum |
| Surface roughness excessive |
Wrong parameters |
Reduce scan speed by 20% |
| Hinges binding |
Insufficient clearance |
Add 0.05mm to all gaps |