Hybrid thermal modeling of additive manufacturing processes using physics-informed neural networks for temperature prediction and parameter identification
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Abstract (arXiv)
Understanding the thermal behavior of additive manufacturing (AM) processes is crucial for enhancing the quality control and enabling customized process design. Most purely physics-based computational models suffer from intensive computational costs and the need of calibrating unknown parameters, thus not suitable for online control and iterative design application. Data-driven models taking advantage of the latest developed computational tools can serve as a more efficient surrogate, but they are usually trained over a large amount of simulation data and often fail to effectively use small but high-quality experimental data. In this work, we developed a hybrid physics-based data-driven thermal modeling approach of AM processes using physics-informed neural networks. Specifically, partially observed temperature data measured from an infrared camera is combined with the physics laws to predict full-field temperature history and to discover unknown material and process parameters. In the numerical and experimental examples, the effectiveness of adding auxiliary training data and using the pretrained model on training efficiency and prediction accuracy, as well as the ability to identify unknown parameters with partially observed data, are demonstrated. The results show that the hybrid thermal model can effectively identify unknown parameters and capture the full-field temperature accurately, and thus it has the potential to be used in iterative process design and real-time process control of AM.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). Builds on 7 of its 43 references that are in the map. First posted on arXiv 15 Jun 2022.
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7 of 43 references.
References · 7
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2015Automatic differentiation in machine learning: a surveycited by 846
- 2019DeepXDE: A deep learning library for solving differential equationscited by 617
- 2021Physics-informed neural networks with hard constraints for inverse designcited by 277
- 2020Machine learning for metal additive manufacturing: Predicting temperature and melt pool fluid dynamics using physics-informed neural networkscited by 42
- 2020Physics-Informed Neural Networks for Nonhomogeneous Material Identification in Elasticity Imagingcited by 40
- 2021Training multi-objective/multi-task collocation physics-informed neural network with student/teachers transfer learningscited by 9
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Citing papers per year: 2022: 1; 2023: 3; 2024: 3; 2025: 4; 2026: 3.
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- 2023Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A Reviewcited by 15
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimizationcited by 9
- 2023Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamicscited by 2
- 2024Real-Time 2D Temperature Field Prediction in Metal Additive Manufacturing Using Physics-Informed Neural Networkscited by 2
- 2024Adapting Projection-Based Reduced-Order Models using Projected Gaussian Processcited by 2
- 2025Generative Machine Learning in Adaptive Control of Dynamic Manufacturing Processes: A Reviewcited by 2
- 2022MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equationscited by 1
- 2025Computational, Data-Driven, and Physics-Informed Machine Learning Approaches for Microstructure Modeling in Metal Additive Manufacturingcited by 1
- 2025A Physics Informed Machine Learning Framework for Optimal Sensor Placement and Parameter Estimationcited by 1
- 2023Online Two-stage Thermal History Prediction Method for Metal Additive Manufacturing of Thin Wallscited by 0
- 2025Physics-Informed Machine Learning Regulated by Finite Element Analysis for Simulation Acceleration of Melt Pool Dynamics in Laser Powder Bed Fusioncited by 0
- 2026Stable Long-Horizon Spatiotemporal Prediction on Meshes Using Latent Multiscale Recurrent Graph Neural Networkscited by 0
- 2026FLARE: A Data-Efficient Surrogate for Predicting Displacement Fields in Directed Energy Deposition17 Apr 2026
- 2026Material-agnostic temperature field prediction for metal additive manufacturing via a parametric PINN framework16 Apr 2026
- 2026Stable Long-Horizon Spatiotemporal Prediction on Meshes Using Latent Multiscale Recurrent Graph Neural Networks20 Feb 2026
- 2025A Physics Informed Machine Learning Framework for Optimal Sensor Placement and Parameter Estimation19 Nov 2025
- 2025Physics-Informed Machine Learning Regulated by Finite Element Analysis for Simulation Acceleration of Melt Pool Dynamics in Laser Powder Bed Fusion25 Jun 2025
- 2025Computational, Data-Driven, and Physics-Informed Machine Learning Approaches for Microstructure Modeling in Metal Additive Manufacturing2 May 2025
- 2025Generative Machine Learning in Adaptive Control of Dynamic Manufacturing Processes: A Review30 Apr 2025
- 2024Adapting Projection-Based Reduced-Order Models using Projected Gaussian Process18 Oct 2024
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimization27 Feb 2024
- 2024Real-Time 2D Temperature Field Prediction in Metal Additive Manufacturing Using Physics-Informed Neural Networks4 Jan 2024
- 2023Online Two-stage Thermal History Prediction Method for Metal Additive Manufacturing of Thin Walls24 Oct 2023
- 2023Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics23 Jul 2023
- 2023Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A Reviewcited by 15
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimizationcited by 9
- 2023Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamicscited by 2
- 2024Real-Time 2D Temperature Field Prediction in Metal Additive Manufacturing Using Physics-Informed Neural Networkscited by 2
- 2024Adapting Projection-Based Reduced-Order Models using Projected Gaussian Processcited by 2
- 2025Generative Machine Learning in Adaptive Control of Dynamic Manufacturing Processes: A Reviewcited by 2
- 2022MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equationscited by 1
- 2025Computational, Data-Driven, and Physics-Informed Machine Learning Approaches for Microstructure Modeling in Metal Additive Manufacturingcited by 1
- 2025A Physics Informed Machine Learning Framework for Optimal Sensor Placement and Parameter Estimationcited by 1
- 2023Online Two-stage Thermal History Prediction Method for Metal Additive Manufacturing of Thin Wallscited by 0
- 2025Physics-Informed Machine Learning Regulated by Finite Element Analysis for Simulation Acceleration of Melt Pool Dynamics in Laser Powder Bed Fusioncited by 0
- 2026Stable Long-Horizon Spatiotemporal Prediction on Meshes Using Latent Multiscale Recurrent Graph Neural Networkscited by 0
12 most cited of 14 All 14 (JSON)
- 2026FLARE: A Data-Efficient Surrogate for Predicting Displacement Fields in Directed Energy Deposition17 Apr 2026
- 2026Material-agnostic temperature field prediction for metal additive manufacturing via a parametric PINN framework16 Apr 2026
- 2026Stable Long-Horizon Spatiotemporal Prediction on Meshes Using Latent Multiscale Recurrent Graph Neural Networks20 Feb 2026
- 2025A Physics Informed Machine Learning Framework for Optimal Sensor Placement and Parameter Estimation19 Nov 2025
- 2025Physics-Informed Machine Learning Regulated by Finite Element Analysis for Simulation Acceleration of Melt Pool Dynamics in Laser Powder Bed Fusion25 Jun 2025
- 2025Computational, Data-Driven, and Physics-Informed Machine Learning Approaches for Microstructure Modeling in Metal Additive Manufacturing2 May 2025
- 2025Generative Machine Learning in Adaptive Control of Dynamic Manufacturing Processes: A Review30 Apr 2025
- 2024Adapting Projection-Based Reduced-Order Models using Projected Gaussian Process18 Oct 2024
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimization27 Feb 2024
- 2024Real-Time 2D Temperature Field Prediction in Metal Additive Manufacturing Using Physics-Informed Neural Networks4 Jan 2024
- 2023Online Two-stage Thermal History Prediction Method for Metal Additive Manufacturing of Thin Walls24 Oct 2023
- 2023Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics23 Jul 2023
12 newest of 14 All 14 (JSON)