Additive Module · Solver S3 of 5

AMGrainPath

Microstructure Predictor Enterprise

The microstructure solver. GrainPath reads the solidification fields and predicts the grains themselves — columnar or equiaxed, fine or coarse, textured or random — the bridge from a part's thermal history to how it will actually behave.

Hunt CET · KGT undercooling · Hunt–Lu PDAS · regime classification · texture & ODF

GrainPath — columnar-to-equiaxed grain map
01

What GrainPath is

A lightweight post-processor on the solidification fields — not a new simulation. Where FusionCore answers "how hot did it get?", GrainPath answers "what did the metal become?" — columnar near the fusion boundary, equiaxed in the cooled core, textured with the build direction.

// Fields in

Reads the gradients

Takes thermal gradient G, solidification velocity R and cooling rate Ṫ at every solidified node — the standard inputs to the G–R map.

// Theory applied

Classifies the growth

Applies the Hunt CET criterion and KGT undercooling to flag columnar vs equiaxed, and Hunt–Lu to estimate primary dendrite arm spacing.

// Microstructure out

Predicts the grains

Outputs CET, PDAS, solidification regime, texture and phase-fraction maps, plus an aggregate microstructure summary.

02

Inside the engine

Each solidified node walks the same chain: undercooling → CET criterion → dendrite spacing → regime → texture. Every point lands somewhere on the classic G–R map — the diagram that says whether you get planar, cellular, columnar or equiaxed growth.

GrainPath — six-stage model pipeline from fields to summary
FIG.01 · grainpath_model_pipeline physics-based post-processor · no new simulation
03

Capabilities

Six features that turn a thermal field into a microstructure prediction.

Hunt CET classification

Per-node columnar-to-equiaxed transition flag, using Hunt's criterion with KGT undercooling:

  • Columnar when G/R is high — grains grow inward from the fusion boundary
  • Equiaxed when G/R drops below threshold — nuclei survive ahead of the front
  • Mixed band in the transition zone
  • Threshold tuned per alloy from CALPHAD data and nucleation parameters
CET map

Primary dendrite arm spacing (PDAS)

PDAS sets local grain size — and grain size sets local strength via Hall–Petch:

  • Hunt–Lu relation: λ₁ = C · G-0.5 · R-0.25
  • Faster cooling → finer arms → stronger metal
  • Per-node λ₁ map feeds StressForge's local strength field
  • Calibrated coefficients per alloy
λ₁ = C · G-0.5 · R-0.25

C  · alloy constant
G  · thermal gradient [K/m]
R  · solidification velocity [m/s]

 Hall–Petch: σy ∝ λ₁-1/2

G–R regime classification

Every solidified node lands somewhere on the log–log G–R map. GrainPath classifies four canonical regimes:

Planar Very high G, low R — flat front
Cellular Lower G/R — fingered cell structure
Columnar dendritic Aligned with the build direction
Equiaxed dendritic High R, low G — isotropic grains
node 14201
  G       = 1.8e7 K/m
  R       = 0.62 m/s
  ΔT_c    = 24.1 K
  regime  = columnar dendritic
  CET     = columnar
  λ₁      = 8.4 µm
  texture = ⟨001⟩ // BD

Explicit grain growth (optional)

When you need actual morphology — not just classification — GrainPath can engage an explicit grain-growth solver:

  • Cellular Automata (CA) · efficient grain envelopes with nucleation and capture rules
  • Phase-Field (PF) · diffuse-interface morphology for highest-fidelity grain shapes
  • Outputs explicit orientation maps (IPF colouring) and an ODF
  • Engaged on selected sub-volumes — too expensive for the whole part
Whole part · Hunt+KGT Sub-volume · CA Hot spot · Phase-field

Texture & orientation distribution

Columnar grains carry a preferred crystallographic orientation — which becomes part-scale anisotropy:

  • Dominant ⟨001⟩ texture aligned with the build direction in columnar zones
  • Randomised texture in equiaxed zones
  • Per-node Orientation Distribution Function (ODF) for downstream anisotropic stress models
  • Inverse-pole-figure (IPF) colouring for visualisation
Columnar zone
⟨001⟩ // BD
build-direction texture
Equiaxed zone
~random
isotropic
ODF
per-node
spherical harmonics
IPF
visualisation
RGB orientation triangle

Validated materials & almost-free compute

Calibrated material cards for the canonical LPBF alloys, with constants tuned to published EBSD measurements:

SS316L Ti-6Al-4V IN718 · soon AlSi10Mg · soon

As a post-processor on existing fields, GrainPath runs in minutes — not hours. Add it to any FusionCore or FusionMap result with no extra simulation.

Hunt · KGT CALPHAD CA / PF
04

The data contract

GrainPath is where physics becomes properties. Its grain-size and orientation maps feed StressForge — through Hall–Petch, finer grains mean higher local strength — and feed CertifyAM, where microstructure drives the predicted mechanical performance.

GrainPath — input / output data contract
FIG.02 · grainpath_io_contract fields + phase + alloy → CET · PDAS · regime · texture · phase fractions
05

Where it sits

GrainPath is one of the two prediction branches fed by the thermal history — microstructure here, residual stress in StressForge — both converging in CertifyAM.

S1PathWeaver
S2FusionCore
S3GrainPath
S4StressForge
S5CertifyAM
06

Why cloud

GrainPath chains directly off FusionCore's output — and runs in minutes on cloud workers, not hours on a workstation.

Free with FusionCore

GrainPath is a post-processor — reuses the existing fields, mesh, and material card. One run, two outputs.

Minutes, not hours

Hunt + KGT classification scales linearly with node count. Even part-scale runs finish in minutes.

Always up to date

New alloy presets, CA/PF improvements, and texture analytics roll out automatically — no recompile.

07

From fields to microstructure

Three steps from solidification fields to a complete microstructure map.

1
Pull G, R, Ṫ fields

From any FusionCore or FusionMap run — no extra simulation, no extra mesh.

2
Apply the chain

KGT undercooling → Hunt CET → Hunt–Lu PDAS → regime → optional CA/PF growth.

3
Read the maps

CET, PDAS, regime, texture, and phase-fraction maps — visualised in 3D and consumed downstream.

08

Applications

Built for LPBF metallurgists predicting build-direction anisotropy, process engineers tuning parameters for desired grain morphology, and qualification teams justifying microstructure-driven property maps.

Aerospace
Medical & Implants
Metallurgy
Qualification
Energy
Research

From thermal history to the grains themselves

GrainPath is part of the SolidNetics AM Enterprise module. Talk to us about access for your team, machine fleet, or research group.