4.7 Article

Physics-informed neural network for modelling the thermochemical curing process of composite-tool systems during manufacture

出版社

ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2021.113959

关键词

Physics-informed neural networks; Deep learning; Composites processing; Exothermic heat transfer; Resin reaction; Surrogate modelling

资金

  1. Natural Sciences and Engineering Research Council of Canada (NSERC) [ALLRP 549167-19]
  2. Convergent Manufacturing Technologies Inc. (CMT)

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The study introduces a Physics-Informed Neural Network (PINN) to simulate the thermal-chemical evolution of a composite material curing in an autoclave. By optimizing deep neural network (DNN) parameters using a physics-based loss function, the research solves coupled differential equations, designs a PINN with two disconnected subnetworks, and develops a sequential training algorithm. The approach incorporates explicit discontinuities at the composite-tool interface and enforces known physical behavior in the loss function to enhance solution accuracy.
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. (C) 2021 Elsevier B.V. All rights reserved.

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