A thermodynamically consistent physics-informed deep learning material model for short fiber/polymer nanocomposites

Fuente: arXiv
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Autores principales: Bahtiri, Betim, Arash, Behrouz, Scheffler, Sven, Jux, Maximilian, Rolfes, Raimund
Formato: Preprint
Publicado: 2024
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author Bahtiri, Betim
Arash, Behrouz
Scheffler, Sven
Jux, Maximilian
Rolfes, Raimund
author_facet Bahtiri, Betim
Arash, Behrouz
Scheffler, Sven
Jux, Maximilian
Rolfes, Raimund
contents This work proposes a physics-informed deep learning (PIDL)-based constitutive model for investigating the viscoelastic-viscoplastic behavior of short fiber-reinforced nanoparticle-filled epoxies under various ambient conditions. The deep-learning model is trained to enforce thermodynamic principles, leading to a thermodynamically consistent constitutive model. To accomplish this, a long short-term memory network is combined with a feed-forward neural network to predict internal variables required for characterizing the internal dissipation of the nanocomposite materials. In addition, another feed-forward neural network is used to indicate the free-energy function, which enables defining the thermodynamic state of the entire system. The PIDL model is initially developed for the three-dimensional case by generating synthetic data from a classical constitutive model. The model is then trained by extracting the data directly from cyclic loading-unloading experimental tests. Numerical examples show that the PIDL model can accurately predict the mechanical behavior of epoxy-based nanocomposites for different volume fractions of fibers and nanoparticles under various hygrothermal conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18310
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A thermodynamically consistent physics-informed deep learning material model for short fiber/polymer nanocomposites
Bahtiri, Betim
Arash, Behrouz
Scheffler, Sven
Jux, Maximilian
Rolfes, Raimund
Machine Learning
Artificial Intelligence
Computational Engineering, Finance, and Science
Numerical Analysis
This work proposes a physics-informed deep learning (PIDL)-based constitutive model for investigating the viscoelastic-viscoplastic behavior of short fiber-reinforced nanoparticle-filled epoxies under various ambient conditions. The deep-learning model is trained to enforce thermodynamic principles, leading to a thermodynamically consistent constitutive model. To accomplish this, a long short-term memory network is combined with a feed-forward neural network to predict internal variables required for characterizing the internal dissipation of the nanocomposite materials. In addition, another feed-forward neural network is used to indicate the free-energy function, which enables defining the thermodynamic state of the entire system. The PIDL model is initially developed for the three-dimensional case by generating synthetic data from a classical constitutive model. The model is then trained by extracting the data directly from cyclic loading-unloading experimental tests. Numerical examples show that the PIDL model can accurately predict the mechanical behavior of epoxy-based nanocomposites for different volume fractions of fibers and nanoparticles under various hygrothermal conditions.
title A thermodynamically consistent physics-informed deep learning material model for short fiber/polymer nanocomposites
topic Machine Learning
Artificial Intelligence
Computational Engineering, Finance, and Science
Numerical Analysis
url https://arxiv.org/abs/2403.18310