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

authored by

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.

Organisation(s)

Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines

External Organisation(s)

Technische Universität Braunschweig

Type

Article

Journal

Computational mechanics

Volume

75

Pages

515–545

No. of pages

31

ISSN

0178-7675

Publication date

02.2025

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.1007/s00466-024-02517-w (Access: Open)