PiGRAND: Physics-informed Graph Neural Diffusion for Intelligent Additive Manufacturing

TL;DR

PiGRAND is a physics-informed graph neural diffusion framework that improves heat transport modeling in additive manufacturing by combining physics principles with efficient graph learning and transfer learning, leading to better accuracy and performance.

Contribution

This paper introduces PiGRAND, a novel physics-informed graph neural diffusion method that integrates PDE-based principles with graph learning for enhanced thermal prediction in 3D printing.

Findings

Significant accuracy improvements over traditional methods

Enhanced computational efficiency through transfer learning

Effective modeling of heat transport in additive manufacturing

Abstract

A comprehensive understanding of heat transport is essential for optimizing various mechanical and engineering applications, including 3D printing. Recent advances in machine learning, combined with physics-based models, have enabled a powerful fusion of numerical methods and data-driven algorithms. This progress is driven by the availability of limited sensor data in various engineering and scientific domains, where the cost of data collection and the inaccessibility of certain measurements are high. To this end, we present PiGRAND, a Physics-informed graph neural diffusion framework. In order to reduce the computational complexity of graph learning, an efficient graph construction procedure was developed. Our approach is inspired by the explicit Euler and implicit Crank-Nicolson methods for modeling continuous heat transport, leveraging sub-learning models to secure the accurate diffusion across graph nodes. To enhance computational performance, our approach is combined with efficient transfer learning. We evaluate PiGRAND on thermal images from 3D printing, demonstrating significant improvements in prediction accuracy and computational performance compared to traditional graph neural diffusion (GRAND) and physics-informed neural networks (PINNs). These enhancements are attributed to the incorporation of physical principles derived from the theoretical study of partial differential equations (PDEs) into the learning model. The PiGRAND code is open-sourced on GitHub: https://github.com/bu32loxa/PiGRAND