Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling
<|reference_start|>Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling: This study explores reduced-order modeling for analyzing the 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 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.<|reference_end|>
@article{agarwal2024parameter,
    title={Parameter identification and uncertainty propagation of hydrogel coupled
  diffusion-deformation using POD-based reduced-order modeling},
    author={Gopal Agarwal, Jorge-Humberto Urrea-Quintero, Henning Wessels, Thomas
  Wick},
    journal={arXiv preprint arXiv:2403.08968},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.08968},
    primaryClass={cs.CE cond-mat.mtrl-sci cond-mat.soft}
}