Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling

verfasst von: Gopal Agarwal, Jorge Humberto Urrea-Quintero, Henning Wessels, Thomas Wick
Abstract: This study explores reduced-order modeling for analyzing time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel transient behavior consists of a coupled system of partial differential equations in which the chemical potential and displacements are coupled. This system is formulated in a monolithic fashion and solved using the finite element method. We employ proper orthogonal decomposition as a model order reduction approach. The reduced-order model performance is tested through a benchmark problem on hydrogel swelling and a case study simulating co-axial printing. Then, we embed the reduced-order model into an optimization loop to efficiently identify the coupled problem’s material parameters using full-field data. Finally, a study is conducted on the uncertainty propagation of the material parameter.
Organisationseinheit(en): Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Externe Organisation(en): Technische Universität Braunschweig
Typ: Artikel
Journal: Computational mechanics
Anzahl der Seiten: 31
ISSN: 0178-7675
Publikationsdatum: 08.07.2024
Publikationsstatus: Elektronisch veröffentlicht (E-Pub)
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
Elektronische Version(en): https://doi.org/10.1007/s00466-024-02517-w (Zugang: Offen)

BibTeX

@article{ed406f4ce8ae47db9a7fb3ee050f9742,
title = "Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling",
abstract = "This study explores reduced-order modeling for analyzing time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel transient behavior consists of a coupled system of partial differential equations in which the chemical potential and displacements are coupled. This system is formulated in a monolithic fashion and solved using the finite element method. We employ proper orthogonal decomposition as a model order reduction approach. The reduced-order model performance is tested through a benchmark problem on hydrogel swelling and a case study simulating co-axial printing. Then, we embed the reduced-order model into an optimization loop to efficiently identify the coupled problem{\textquoteright}s material parameters using full-field data. Finally, a study is conducted on the uncertainty propagation of the material parameter.",
keywords = "FEniCS, Hydrogels modeling, Model material parameters identification, Model-order reduction, Proper orthogonal decomposition, RBniCS, Uncertainty propagation",
author = "Gopal Agarwal and Urrea-Quintero, {Jorge Humberto} and Henning Wessels and Thomas Wick",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
month = jul,
day = "8",
doi = "10.1007/s00466-024-02517-w",
language = "English",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
}