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A deep-learning based and thermodynamically consistent model for nanoparticle-filled epoxy nanocomposites under ambient conditions

In this work, we propose a physics-informed deep learning (DL)-based constitutive model for investigating epoxy based composites under different ambient conditions. The deep-learning model is trained to enforce thermodynamics principles and ensures a thermodynamic consistent constitutive model. For this, a long short-term memory network is combined with a feed-forward neural network to predict internal variables of the material system, which are needed to characterize the internal dissipation of the material. Another feed-forward neural network is employed to predict the free-energy function, therefore defining the thermodynamic state of the whole system.

The data is directly generated from cyclic loading-unloading experiments conducted on a nanoparticle filled epoxy system. The experiments include diverse ambient conditions e.g. temperature, moisture and nanoparticle volume fraction. Accordingly, the accuracy of the deep-learning model in accurately predicting the material behavior for a material system characterized by a highly nonlinear response with temperature- and moisture dependency is shown. Importantly, the deep-learning model solely utilizes experimental data, demonstrating the capability to capture the complex stress-strain response of the material at hand.

The figure below presents the architecture of our thermodynamic consistent DL model.

This is an image

References

For more informations, refer to our paper:

Paper

@article{bahtiri2024thermodynamically,
  title={A thermodynamically consistent physics-informed deep learning material model for short fiber/polymer nanocomposites},
  author={Bahtiri, Betim and Arash, Behrouz and Scheffler, Sven and Jux, Maximilian and Rolfes, Raimund},
  journal={Computer Methods in Applied Mechanics and Engineering},
  volume={427},
  pages={117038},
  year={2024},
  publisher={Elsevier}
}