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

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Gopal Agarwal
  • Jorge Humberto Urrea-Quintero
  • Henning Wessels
  • Thomas Wick

Externe Organisationen

  • Technische Universität Braunschweig
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seitenumfang31
FachzeitschriftComputational mechanics
Frühes Online-Datum8 Juli 2024
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 8 Juli 2024

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.

ASJC Scopus Sachgebiete

Zitieren

Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling. / Agarwal, Gopal; Urrea-Quintero, Jorge Humberto; Wessels, Henning et al.
in: Computational mechanics, 08.07.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Download
@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",

}

Download

TY - JOUR

T1 - Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling

AU - Agarwal, Gopal

AU - Urrea-Quintero, Jorge Humberto

AU - Wessels, Henning

AU - Wick, Thomas

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/7/8

Y1 - 2024/7/8

N2 - 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.

AB - 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.

KW - FEniCS

KW - Hydrogels modeling

KW - Model material parameters identification

KW - Model-order reduction

KW - Proper orthogonal decomposition

KW - RBniCS

KW - Uncertainty propagation

UR - http://www.scopus.com/inward/record.url?scp=85197682314&partnerID=8YFLogxK

U2 - 10.1007/s00466-024-02517-w

DO - 10.1007/s00466-024-02517-w

M3 - Article

AN - SCOPUS:85197682314

JO - Computational mechanics

JF - Computational mechanics

SN - 0178-7675

ER -

Von denselben Autoren