Physics-Informed Machine Learning Society

  • FDP: 25 September 2026

  • Annual Meeting: 08–09 July 2027

  • Andhra Pradesh, India

  • pimlsociety@gmail.com

Engineering Research Community

Metallurgical Engineering & Physics-Informed Machine Learning

Connecting composition, processing, microstructure, properties and performance

Metallurgical Engineering is an exceptionally strong field for Physics-Informed Machine Learning (PIML) because the behaviour of metals and alloys is governed by rich physical mechanisms across multiple length and time scales.

alloy design; * phase transformations; * solidification; * heat treatment; * diffusion; * thermodynamics; * kinetics; * microstructure evolution; * deformation; * plasticity; * fracture; * fatigue; * creep; * corrosion; * casting; * welding; * powder metallurgy; * additive manufacturing; * surface engineering; and * computational materials engineering.

This page presents ten focused research areas, degree-level project pathways, selected publications and direct support through the PIMLS biweekly members meeting.

This Metallurgical Engineering guide covers Physics-Informed Neural Networks (PINNs), physics-guided machine learning, scientific machine learning, neural operators, hybrid models and engineering digital twins. Explore the research and project pathways below, then join the Physics-Informed Machine Learning Society to connect with the international PIMLS community.

The central ideaThermodynamics and kinetics + microstructure evidence + materials machine learning
10focused research areas
3academic project pathways
6selected publications
Biweeklymember research meeting
Why this combination matters

Why Metallurgical Engineering Needs Physics-Informed Learning

Use available scientific knowledge to make limited data more useful, transparent and testable.

Expensive models and experiments

PIML can reduce repeated simulation or experimental cost while retaining the governing knowledge used in Metallurgical Engineering.

Incomplete engineering models

Learn uncertain parameters, closures or discrepancies around an inspectable mechanistic foundation.

Transfer across conditions

Test whether structured models generalize across geometries, materials, assets, operating regimes or sites.

Trustworthy evidence

Use physical residuals, independent measurements, uncertainty and conventional engineering baselines before deployment.

Ten focused directions

Major Metallurgical Engineering PIML Research Areas

Each card connects a meaningful Metallurgical Engineering question with suitable scientific knowledge, modelling choices and evidence needed to test it.

01

Alloy Design

Alloy development traditionally requires substantial experimental effort. A metallurgist may vary: Chemical Composition Heat Treatment Processing Conditions and measure: Strength Ductility Hardness Toughness Corrosion Resistance Creep Resistance Machine learning can accelerate the exploration of this…

Model and evidenceGoverning equations, calibrated measurements and held-out operating conditions
02

Steel Development

Steel is one of the most important areas for PIML. Potential applications include: CCT Diagram Prediction TTT Diagram Prediction Phase Fraction Prediction Hardness Prediction Strength Prediction Heat-Treatment Optimization Transformation Temperature Prediction The 2026 steel study provides a direct example…

Model and evidenceMechanistic and data-only baselines, uncertainty and independent validation
03

Phase Transformations

Phase transformations determine the microstructure and properties of many engineering alloys. Potential PIML applications include: A physics-informed model can combine: Thermodynamic Driving Force + Transformation Kinetics + Experimental Data to improve predictions. ---

Model and evidenceGeometry, material or system parameters, sensor data and physical residuals
04

CALPHAD + Machine Learning

*CALPHAD — CALculation of PHAse Diagrams — is one of the most important computational tools in modern metallurgy. CALPHAD provides thermodynamic knowledge about: Phase Stability Phase Fractions Chemical Potentials Transformation Temperatures Machine learning can be combined with CALPHAD calculations.…

Model and evidenceGoverning equations, calibrated measurements and held-out operating conditions
05

Thermodynamics

Metallurgical thermodynamics provides powerful constraints for machine learning. Potential PIML research includes: A data-driven prediction that violates thermodynamic consistency may be physically meaningless. Physics-informed learning provides a mechanism for introducing these constraints. ---

Model and evidenceMechanistic and data-only baselines, uncertainty and independent validation
06

Diffusion and Kinetics

Diffusion controls many metallurgical processes: Carburizing Nitriding Homogenization Precipitation Oxidation Phase Transformation Sintering Fick's laws provide physical constraints. A PINN or other physics-informed model can potentially reconstruct concentration fields from sparse measurements. For example:

Model and evidenceGeometry, material or system parameters, sensor data and physical residuals
07

Microstructure Evolution

Microstructure is one of the central concepts in Metallurgical Engineering. Important microstructural features include: Grain Size Phase Fractions Precipitates Dislocation Density Texture Porosity Inclusions Defects PIML can potentially model the evolution of these features during processing. Possible…

Model and evidenceGoverning equations, calibrated measurements and held-out operating conditions
08

Microstructure Characterization

Modern metallurgical laboratories generate enormous amounts of image data through: Optical Microscopy SEM TEM EBSD X-Ray Imaging Computer vision and deep learning can characterize microstructures. However, physics-informed or materials-informed AI can improve these approaches by incorporating knowledge…

Model and evidenceMechanistic and data-only baselines, uncertainty and independent validation
09

Heat Treatment

Heat treatment involves: Heating Holding Cooling and the corresponding: Phase Transformations Diffusion Microstructure Evolution Potential PIML applications include: A physics-informed model can combine: Thermal History + Transformation Physics + Experimental Data to predict final microstructure and…

Model and evidenceGeometry, material or system parameters, sensor data and physical residuals
10

Solidification and Casting

Casting involves several coupled phenomena: Fluid Flow Heat Transfer Solidification Solute Transport Phase Formation Potential PIML applications include: PIML could potentially create fast surrogate models for expensive casting simulations. ---

Model and evidenceGoverning equations, calibrated measurements and held-out operating conditions
PIMLS member support

Unsure which research area fits your background?

Submit the form and join a biweekly members meeting to discuss your idea with the Society.

Choose the right research depth

Projects for Every Academic Stage

Start with a scope that matches your time, mathematical background, experimental access and expected research contribution.

Project pathway 1

B.E./B.Tech

Learn the foundations with a bounded, measurable system.

  • ML/PIML for Steel Hardness Prediction
  • Physics-Informed Heat-Treatment Modelling
  • PIML for Diffusion
  • PIML for Grain-Growth Prediction
  • PIML for Phase Transformation
  • Microstructure Classification Using AI
Expected outcome

A reproducible implementation, clear baselines, a manageable dataset and physically meaningful validation.

Project pathway 3

Ph.D.

Address a publishable methodological, multiscale or deployment research gap.

  • Physics-Informed Alloy Design
  • Multiscale PIML
  • Physics-Informed Phase-Field Surrogates
  • Machine-Learning Interatomic Potentials
  • Physics-Informed Crystal Plasticity
  • Neural Operators for Materials
Expected outcome

New methodology or validated engineering insight, multi-regime evidence, reproducible software and journal publications.

From idea to evidence

A Strong PIML Project Workflow

01

Define

Choose one Metallurgical Engineering question and a measurable engineering output.

02

Model

State the governing relationships, constraints or validated domain knowledge you will retain.

03

Compare

Build mechanistic and data-only baselines before the hybrid model.

04

Validate

Hold out experiments, conditions, assets, sites or regimes at the deployment level.

05

Publish

Report uncertainty, ablation, limitations, data lineage and reproducible code.

Read before you model

Selected Publications and Why They Matter

Use this focused reading list to understand the general PIML framework, direct Metallurgical Engineering evidence and suitable hybrid modelling methods.

Literature review advice

Do not list papers only. Compare the engineering question, incorporated knowledge, data, split strategy, baselines, uncertainty and evidence level.

Discuss Your Literature

This source is included in the Metallurgical Engineering literature guide because it demonstrates or reviews a relevant physics-informed, hybrid, inverse, surrogate or scientific-machine-learning approach. Read the methods, data split, baselines and validation evidence—not only the reported accuracy.

How to use this paper: Use this paper to refine the research question, identify a defensible physical prior and compare evidence requirements for Metallurgical Engineering.
Read publication or record

This source is included in the Metallurgical Engineering literature guide because it demonstrates or reviews a relevant physics-informed, hybrid, inverse, surrogate or scientific-machine-learning approach. Read the methods, data split, baselines and validation evidence—not only the reported accuracy.

How to use this paper: Use this paper to refine the research question, identify a defensible physical prior and compare evidence requirements for Metallurgical Engineering.
Read publication or record

This source is included in the Metallurgical Engineering literature guide because it demonstrates or reviews a relevant physics-informed, hybrid, inverse, surrogate or scientific-machine-learning approach. Read the methods, data split, baselines and validation evidence—not only the reported accuracy.

How to use this paper: Use this paper to refine the research question, identify a defensible physical prior and compare evidence requirements for Metallurgical Engineering.
Read publication or record

This source is included in the Metallurgical Engineering literature guide because it demonstrates or reviews a relevant physics-informed, hybrid, inverse, surrogate or scientific-machine-learning approach. Read the methods, data split, baselines and validation evidence—not only the reported accuracy.

How to use this paper: Use this paper to refine the research question, identify a defensible physical prior and compare evidence requirements for Metallurgical Engineering.
Read publication or record

This source is included in the Metallurgical Engineering literature guide because it demonstrates or reviews a relevant physics-informed, hybrid, inverse, surrogate or scientific-machine-learning approach. Read the methods, data split, baselines and validation evidence—not only the reported accuracy.

How to use this paper: Use this paper to refine the research question, identify a defensible physical prior and compare evidence requirements for Metallurgical Engineering.
Read publication or record

This source is included in the Metallurgical Engineering literature guide because it demonstrates or reviews a relevant physics-informed, hybrid, inverse, surrogate or scientific-machine-learning approach. Read the methods, data split, baselines and validation evidence—not only the reported accuracy.

How to use this paper: Use this paper to refine the research question, identify a defensible physical prior and compare evidence requirements for Metallurgical Engineering.
Read publication or record
Build an interdisciplinary team

Where Metallurgical Engineering Can Collaborate

Computer Science

Materials AI, computer vision and scientific ML.

Mechanical Engineering

Plasticity, fracture, fatigue and manufacturing.

Chemical Engineering

Thermodynamics, corrosion and extraction.

Electrical Engineering

Batteries, functional and electronic materials.

Before you begin

Frequently Asked Research Questions

These answers help students avoid common scope, terminology and validation mistakes.

Still have a question?

Use the biweekly meeting form for research guidance.

Request access

No. Metallurgical Engineering projects may use physics-guided features, hybrid residual models, differentiable simulators, neural operators, constrained architectures or data assimilation. State exactly what knowledge is incorporated.

Choose one engineering question, a measurable output and a defensible mechanistic baseline. Add learning only where data can identify an uncertainty or discrepancy.

A meaningful question, justified prior knowledge, deployment-level holdouts, strong baselines, ablation, uncertainty, reproducibility and honest limitations.

Simulation can broaden coverage, but simulation-only evidence cannot establish real-system accuracy. Use calibrated experiments, field measurements or trusted independent references appropriate to the claim.

Submit the biweekly members meeting form to discuss your project level, branch, data, model, validation plan and possible collaborators.

Take the next step

Bring your Metallurgical Engineering research idea to PIMLS

Join the biweekly members meeting for project guidance, collaboration and publication planning—or contact the Society directly.

Meeting participation is requested through the Google form. Complete it carefully so the Society can understand your research interest.