| name | am-residual-stress |
| description | AM residual stress — LPBF/DED stress mechanisms, temperature gradient mechanism (TGM), distortion prediction, stress relief heat treatment, XRD/neutron diffraction measurement, support optimization. |
| metadata | {"priority":7,"promptSignals":{"phrases":["AM residual stress","additive manufacturing residual stress","LPBF residual stress","thermal distortion AM","AM distortion","residual stress metal AM"],"minScore":3}} |
AM Residual Stress — Complete Skill
Origin of Residual Stress in LPBF
Temperature Gradient Mechanism (TGM)
Phase 1 — Heating:
Laser heats small zone rapidly; surrounding cool material constrains thermal expansion → compressive stress in heated zone (may yield in compression)
Phase 2 — Cooling:
Heated zone contracts; constraints induce tensile stress in cooling region
Net result: tensile residual stress at surface; compressive in bulk interior
Magnitude:
σ_surface (tensile) ≈ 100–700 MPa (material and scan strategy dependent)
SS316L: 300–700 MPa; Ti-6Al-4V: 200–600 MPa; Inconel 718: 400–800 MPa
Cool-Down Shrinkage Mechanism (CSM)
Each solidified layer shrinks on cooling; constrained by underlying layers → tensile stress in upper layers; compressive in lower layers
Dominant in DED (lower cooling rate, deeper melt pool than LPBF)
Distortion Patterns
Cantilever/thin plate:
Bending due to thermal gradient; lift/curl after removal from plate
Typical deformation: d = C × σ × L² / (E × t) [mm; L = length; t = thickness; C ≈ 1.5 for fixed-free]
LPBF SS316L bridge specimen:
Standard distortion test: 70 mm × 10 mm × 5 mm bridge with 40 mm span
Typical uplift after release: 0.5–3.0 mm depending on scan strategy
Distortion factors:
Scan length: longer vectors → more temperature gradient → more distortion
Island scanning (5×5 mm chessboard): reduces distortion vs. long stripes
67° rotation per layer: reduces in-plane stress anisotropy
Scan Strategy Effects
Long stripe (bidirectional):
Highest residual stress; largest anisotropy; simplest strategy
Chessboard (island):
Shorter scan vectors; more uniform stress; reduces max principal stress by 20–40%
Optimal island size: 3–7 mm (tradeoff between short vectors and stripe re-melting)
Zigzag with 67° rotation:
Stress more isotropic; reduces preferred texture
Preheating build plate:
Higher T_plate (100–500°C depending on material): reduces ΔT during process → reduces stress
Ti-6Al-4V: plate at 200°C → σ_residual reduces 30–50%
Inconel: plate at 100–200°C; above martensite start T for crack-prone alloys
Measurement Methods
X-Ray Diffraction (XRD)
sin²ψ method:
d(ψ) = d₀ + [(d₀ × (1+ν)/E) × σ × sin²ψ]
d(ψ) = lattice spacing at tilt ψ; d₀ = unstressed spacing
Slope of d vs. sin²ψ → σ
Depth penetration:
CuKα: 5–20 μm penetration (surface only)
CrKα: 3–10 μm; MoKα: 20–50 μm
Application: map σ_x, σ_y vs. position on surface; surface stress state
Neutron Diffraction
Full 3D residual stress mapping:
Penetration: 50–100 mm in steel; 200 mm in Al
Gauge volume: 1–4 mm³; provides interior stress profile
Facility: ISIS, ILL, NIST, SNS (beamtime limited; expensive)
Use for: validation of FEM models; thick section investigation
Hole Drilling (ASTM E837)
Semi-destructive: drill 1–2 mm hole; measure strain relief around hole; calculate residual stress
Depth profile: 0–1 mm from surface
Modified layer removal: alternative; remove electropolished layers → stress relaxation → calculate
Contour Method
Destructive: cut part by wire EDM; measure surface deformation after cut → calculate σ_z
Provides 2D stress map on cut cross-section; unique for internal stress profiling in AM
Stress Relief Heat Treatment
Ti-6Al-4V:
650°C / 2–4 hr / vacuum or argon → reduces σ by 60–80%; retains duplex (α+β) microstructure
800°C / 2 hr → near full stress relief; begins to soften (avoid for max strength)
Inconel 718:
870°C / 1 hr → stress relieve without precipitation; then solution + double age for max strength
SS316L:
1050–1100°C / 30 min → full annealing; softens material; used for maximum ductility
AlSi10Mg:
300°C / 2 hr → partial stress relief; 325°C → over-ages (strength loss); keep ≤ 300°C if strength needed
Finite Element Simulation (Residual Stress Prediction)
Inherent strain method (fast, approximate):
Assign plastic strain eigenvalues to each layer → solve structural problem → get distortion
Calibrate inherent strains from simple coupon experiments
Thermomechanical FEM (high fidelity):
Track temperature field layer by layer → convert to thermal stress → accumulate
Software: Simufact Additive, Netfabb, Amphyon, ANSYS Additive
Validation: compare simulated distortion to bridge specimen measurement; typical accuracy ±30%
Support Structure Optimization for Stress Reduction
Support purpose:
Anchor part to build plate (prevents lift-off); dissipate heat; control temperature gradient
Support density effect:
High density support: better thermal conduction → lower ΔT → lower stress → less distortion
But: more material → more post-processing; design tradeoff
Support optimization tools:
Topology optimization of support layout (Materialise Magics, Autodesk Netfabb)
Minimize stress while maintaining build integrity
Tree support: single touch points → low material but poor stress management
Solid support: high thermal conductivity to build plate → best for stress management
Output
Provide: dominant residual stress mechanism (TGM/CSM), estimated surface residual stress magnitude [MPa] (tensile/compressive), scan strategy recommendation (chessboard island size, rotation angle), build plate preheat temperature [°C], predicted distortion [mm] for given geometry (from inherent strain or FEM), stress relief heat treatment cycle (T [°C], time [hr], atmosphere), measurement method for verification (XRD/neutron/hole-drill), post-treatment residual stress level [MPa], and support strategy for minimum distortion.