open access publication

Article, 2024

Accelerated process parameter selection of polymer-based selective laser sintering via hybrid physics-informed neural network and finite element surrogate modelling

Applied Mathematical Modelling, ISSN 0307-904X, 1872-8480, Volume 130, Pages 693-712, 10.1016/j.apm.2024.03.030

Contributors

Yeh, Hao-Ping (Corresponding author) [1] Bayat, Mohamad 0000-0003-2503-6512 [1] Arzani, Amirhossein 0000-0002-3706-7909 [2] Hattel, Jesper Henri 0000-0001-5687-4581 [1]

Affiliations

  1. [1] Technical University of Denmark
  2. [NORA names: DTU Technical University of Denmark; University; Denmark; Europe, EU; Nordic; OECD];
  3. [2] University of Utah
  4. [NORA names: United States; America, North; OECD]

Abstract

The state of the melt region as well as the temperature field are critical indicators reflecting the stability of the process and subsequent product quality in selective laser sintering (SLS). The present study compares various simulation models for analyzing melt pool morphologies, specifically considering their complex transient evolution. While thermal fluid dynamic simulations offer comprehensive insights into melt regions, their inherent high computational time demand is a drawback. In SLS, the polymer's high viscosity and low conductivity limit liquid flow, thereby promoting a slow evolution of the melt region formation. Based on this observation, utilizing low-complexity pure heat conduction simulation can be adequate for describing melt region morphologies as compared to the more complex thermal fluid dynamic simulations. In the present work, we propose such a purely conduction based finite element (FE) model and use it in combination with an AI-powered partial differential equation (PDE) solver based on a parametric physics-informed neural network (PINN). We specifically conduct the simulations for the sintering process, where large thermal gradients are present, with the parametric PINN based model, whereas we employ the finite element method (FEM) for the cooling phase in which gradients and cooling rates are several orders lower, thus enabling the prediction of sintering temperature and melt region morphology under various configurations. The combined hybrid model demonstrates less than 7% deviation in temperatures and less than 1% in melt pool sizes as compared to the pure FEM-based models, with faster computational times of 0.7 s for sintering and 20 min for cooling. Moreover, the hybrid model is utilized for multi-track simulation with parametric variations with the purpose of optimizing the manufacturing process. Our model provides an approach to determine the most suitable combinations of settings that enhance manufacturing speed while preventing issues such as lack of fusion and material degradation.

Keywords

FEM-based model, PINN, SLS, Selective Laser Sintering, combination, comprehensive insight, computation time, computational time demands, conduct simulations, conductivity, configuration, cooling, cooling phase, cooling rate, degradation, demand, deviation, differential equations, dynamics simulations, element method, equations, evolution, field, finite element method, flow, fluid dynamics simulations, formation, fusion, gradient, heat conduction simulation, high viscosity, hybrid, hybrid model, indicators, insights, issues, lack, lack of fusion, laser, laser sintering, liquid flow, manufacturing, manufacturing process, manufacturing speed, material degradation, materials, melt pool morphology, melt pool size, melting, melting region, method, model, morphology, network, neural network, observations, parameter selection, parametric variations, partial differential equations, phase, physics-informed neural networks, polymer, pool morphology, pool size, prediction, prevention issues, process, process parameter selection, product quality, production, quality, rate, region, region formation, regional morphology, selection, simulation, simulation model, sintering, sintering process, size, slow evolution, solver, speed, stability, state, study, surrogate model, temperature, temperature field, thermal gradient, time, time demands, transient evolution, variation, viscosity

Funders

  • Directorate for Computer & Information Science & Engineering

Data Provider: Digital Science