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LPC & AI Modelling

Low-pressure carburizing model: diffusion physics plus model-supported boundary flux.

LPC model with diffusion kernel and boundary carbon flux
LPC model: diffusion kernel and boundary carbon-flux closure.

Core model

∂C/∂t = ∂/∂x [D(C,T,steel) · ∂C/∂x]
-D · ∂C/∂x = JC(T, p, gas pulse, surface state, load history)

What physics keeps / what AI assists

Physics keepsAI assists
diffusion equation and carbon transporteffective boundary carbon flux during boost stages
temperature dependence and steel responsefurnace/load correction from calibration data
carbon profile and case-depth calculationrecipe calibration and transfer between load cases
validation against measured profilesuncertainty estimate within the trained domain

Physical kernel

  • carbon diffusion in austenite
  • temperature and steel dependence
  • profile and case-depth calculation

AI closure

  • effective boundary carbon flux
  • boost-stage behaviour
  • self-calibration from measured profiles

Calibration data

  • carbon profile
  • surface carbon
  • mass gain
  • hardness / effective case depth

Use

  • recipe comparison
  • supplier review
  • troubleshooting
  • process transfer