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

Research output: Contribution to journalArticleResearchpeer review

Authors

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

Details

Original languageEnglish
Pages (from-to)515–545
Number of pages31
JournalComputational mechanics
Volume75
Early online date8 Jul 2024
Publication statusPublished - Feb 2025

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.

Keywords

    FEniCS, Hydrogels modeling, Model material parameters identification, Model-order reduction, Proper orthogonal decomposition, RBniCS, Uncertainty propagation

ASJC Scopus subject areas

Cite this

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, Vol. 75, 02.2025, p. 515–545.

Research output: Contribution to journalArticleResearchpeer review

Agarwal G, Urrea-Quintero JH, Wessels H, Wick T. Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling. Computational mechanics. 2025 Feb;75:515–545. Epub 2024 Jul 8. doi: 10.1007/s00466-024-02517-w
Agarwal, Gopal ; Urrea-Quintero, Jorge Humberto ; Wessels, Henning et al. / Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling. In: Computational mechanics. 2025 ; Vol. 75. pp. 515–545.
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