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Updated: May 28, 2026

Additive Manufacturing of Functionally Graded Ceramic Materials by Stereolithography
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Published on: January 25, 2019

Machine Learning-Based Composition Design of Functionally Graded Alloys.

Yimao Yu1, Yiqing Wang1, Pu Zhao2

  • 1School of Materials Science and Engineering, Tianjin University, Tianjin 300350, China.

Materials (Basel, Switzerland)
|May 27, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a machine learning approach to design functionally graded materials (FGMs) by optimizing composition for thermal expansion matching. The data-driven method, using a random forest model, accurately predicts coefficient of thermal expansion (CTE) and reduces interfacial stress in dissimilar materials.

Keywords:
SHAP analysiscomposition designfunctionally graded materialsmachine learning

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Area of Science:

  • Materials Science and Engineering
  • Computational Materials Science
  • Mechanical Engineering

Background:

  • Functionally graded materials (FGMs) mitigate residual stress at dissimilar material interfaces via graded transitions.
  • Matching the coefficient of thermal expansion (CTE) is crucial for joint reliability.
  • Traditional empirical methods are inefficient for optimizing composition in high-dimensional spaces.

Purpose of the Study:

  • To develop a data-driven, machine learning-assisted method for designing FGM compositions.
  • To efficiently identify optimal compositions for matching the CTE of dissimilar materials.
  • To reduce interfacial thermal expansion mismatch and enhance the reliability of material joints.

Main Methods:

  • Systematic evaluation of six regression models using a dataset of 747 CTE data points across 15 elements.
  • Utilized a high-precision dataset for training and testing machine learning models.
  • Employed the SHapley Additive exPlanations (SHAP) method to identify key physical descriptors influencing CTE.

Main Results:

  • The random forest (RF) model demonstrated superior performance with R² of 0.929 and RMSE of 0.658.
  • Lattice constant, Young's modulus, and temperature were identified as critical factors for thermal expansion behavior.
  • Experimental validation showed a low CTE prediction deviation (0.89%) for Fe-based alloy Norem02.

Conclusions:

  • The proposed machine learning framework enables efficient and accurate design of FGM compositions.
  • Successful design of a 316L/Norem02 transition layer significantly reduced thermal expansion mismatch.
  • Provides a reliable theoretical basis for designing dissimilar material interfaces under extreme conditions.