mlsanityData to 7 Oct 2026

Physics-Informed Neural Network for Modelling the Thermochemical Curing Process of Composite-Tool Systems During Manufacture

arXiv 2011.13511 ↗First posted 27 Nov 2020cs.LGcited by 48

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Abstract (arXiv)

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave. In particular, we solve the governing coupled system of differential equations -- including conductive heat transfer and resin cure kinetics -- by optimizing the parameters of a deep neural network (DNN) using a physics-based loss function. To account for the vastly different behaviour of thermal conduction and resin cure, we design a PINN consisting of two disconnected subnetworks, and develop a sequential training algorithm that mitigates instability present in traditional training methods. Further, we incorporate explicit discontinuities into the DNN at the composite-tool interface and enforce known physical behaviour directly in the loss function to improve the solution near the interface. We train the PINN with a technique that automatically adapts the weights on the loss terms corresponding to PDE, boundary, interface, and initial conditions. Finally, we demonstrate that one can include problem parameters as an input to the model -- resulting in a surrogate that provides real-time simulation for a range of problem settings -- and that one can use transfer learning to significantly reduce the training time for problem settings similar to that of an initial trained model. The performance of the proposed PINN is demonstrated in multiple scenarios with different material thicknesses and thermal boundary conditions.

Key facts. Cited by 48 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Nov 2020.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 7; 2022: 13; 2023: 11; 2024: 9; 2025: 5; 2026: 3.

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  1. 2022Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's nextcited by 603
  2. 2021CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Methodcited by 93
  3. 2024From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learningcited by 73
  4. 2021Encoding physics to learn reaction-diffusion processescited by 61
  5. 2021Physics informed neural networks for continuum micromechanicscited by 46
  6. 2021Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential trainingcited by 26
  7. 2022Partial Differential Equations Meet Deep Neural Networks: A Surveycited by 25
  8. 2023Deep Learning in Deterministic Computational Mechanicscited by 21
  9. 2022Constitutive model characterization and discovery using physics-informed deep learningcited by 17
  10. 2023Towards Artificial General Intelligence (AGI) in the Internet of Things (IoT): Opportunities and Challengescited by 14
  11. 2023Theory and implementation of inelastic Constitutive Artificial Neural Networkscited by 12
  12. 2024Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers for non-stationary and nonlinear simulations on arbitrary meshescited by 12
36 more
  1. 2021CENN: Conservative energy method based on neural networks with subdomains for solving variational problems involving heterogeneous and complex geometriescited by 10
  2. 2022Spiking neural networks for nonlinear regressioncited by 10
  3. 2023BINN: A deep learning approach for computational mechanics problems based on boundary integral equationscited by 10
  4. 2025Evolutionary Optimization of Physics-Informed Neural Networks: Evo-PINN Frontiers and Opportunitiescited by 10
  5. 2025Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanicscited by 10
  6. 2024Exact Enforcement of Temporal Continuity in Sequential Physics-Informed Neural Networkscited by 9
  7. 2022Physics-informed neural network solution of thermo-hydro-mechanical (THM) processes in porous mediacited by 8
  8. 2022Inverse modeling of nonisothermal multiphase poromechanics using physics-informed neural networkscited by 6
  9. 2022Zero-Shot Transfer Learning for Structural Health Monitoring using Generative Adversarial Networks and Spectral Mappingcited by 6
  10. 2024An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Studycited by 6
  11. 2021Residual fourier neural operator for thermochemical curing of compositescited by 4
  12. 2022Learning Physics-Consistent Particle Interactionscited by 4
  13. 2023A physics-informed neural network framework for modeling obstacle-related equationscited by 4
  14. 2023Learning from Integral Losses in Physics Informed Neural Networkscited by 4
  15. 2022Reduced-PINN: An Integration-Based Physics-Informed Neural Networks for Stiff ODEscited by 3
  16. 2023iPINNs: Incremental learning for Physics-informed neural networkscited by 3
  17. 2023A Sequential Meta-Transfer (SMT) Learning to Combat Complexities of Physics-Informed Neural Networks: Application to Composites Autoclave Processingcited by 3
  18. 2023Probabilistic Physics-integrated Neural Differentiable Modeling for Isothermal Chemical Vapor Infiltration Processcited by 3
  19. 2024Improved Physics-informed neural networks loss function regularization with a variance-based termcited by 2
  20. 2021Joint Deep Reversible Regression Model and Physics-Informed Unsupervised Learning for Temperature Field Reconstructioncited by 1
  21. 2022Utilising physics-guided deep learning to overcome data scarcitycited by 1
  22. 2023Physics-informed Neural Network Combined with Characteristic-Based Split for Solving Navier-Stokes Equationscited by 1
  23. 2024Physics-informed DeepONet with stiffness-based loss functions for structural response predictioncited by 1
  24. 2024PACMANN: Point Adaptive Collocation Method for Artificial Neural Networkscited by 1
  25. 2024STONet: A neural operator for modeling solute transport in micro-cracked reservoirscited by 1
  26. 2025Predicting Stress and Damage in Carbon Fiber-Reinforced Composites Deformation Process using Composite U-Net Surrogate Modelcited by 1
  27. 2025Physics-informed Multiple-Input Operators for efficient dynamic response prediction of structurescited by 1
  28. 2022Correlated-informed neural networks: a new machine learning framework to predict pressure drop in micro-channelscited by 0
  29. 2022Physics-Guided Problem Decomposition for Scaling Deep Learning of High-dimensional Eigen-Solvers: The Case of Schr"odinger's Equationcited by 0
  30. 2022Characterizing and Mitigating the Difficulty in Training Physics-informed Artificial Neural Networks under Pointwise Constraintscited by 0
  31. 2023Machine Learning-Enabled Precision Position Control and Thermal Regulation in Advanced Thermal Actuatorscited by 0
  32. 2024A Physics Informed Neural Network (PINN) Methodology for Coupled Moving Boundary PDEscited by 0
  33. 2025Accelerated Gradient-based Design Optimization Via Differentiable Physics-Informed Neural Operator: A Composites Autoclave Processing Case Studycited by 0
  34. 2026Tackling multiphysics problems via finite element-guided physics-informed operator learningcited by 0
  35. 2026Physics-Informed Neural Networks and Sequence Encoder: Application to heating and early cooling of thermo-stamping processcited by 0
  36. 2026Physics-Informed Framework for Impact Identification in Aerospace Compositescited by 0