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-dependentdiffusion-deformation of hydrogels. The full-order model describing hydrogeltransient behavior consists of a coupled system of partial differentialequations in which chemical potential and displacements are coupled. Thissystem is formulated in a monolithic fashion and solved using the finiteelement method. We employ proper orthogonal decomposition as a model orderreduction approach. The reduced-order model performance is tested through abenchmark problem on hydrogel swelling and a case study simulating co-axialprinting. Then, we embed the reduced-order model into an optimization loop toefficiently identify the coupled problem's material parameters using full-fielddata. Finally, a study is conducted on the uncertainty propagation of thematerial parameter.