2024/03/13 by Gopal Krishna Agarwal, Agarwal, Gopal, Jorge‐Humberto Urrea‐Quintero +5
Chemical Engineering · Mathematics · Physics and Astronomy · #Computational Engineering #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Materials Science (cond-mat.mtrl-sci) #Model Reduction and Neural Networks #Numerical methods for differential equations #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft) #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2403.08968
openalex publication_date 2024/03/13 · openalex created_date 2024/03/16 · openalex updated_date 2026/08/01
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.