{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T11:15:39Z","timestamp":1762341339326,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2019,11,28]],"date-time":"2019-11-28T00:00:00Z","timestamp":1574899200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"ESI group","award":["through the ESI Chair at ENSAM Arts et Metiers Institute of Technology"],"award-info":[{"award-number":["through the ESI Chair at ENSAM Arts et Metiers Institute of Technology"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Biphasic soft materials are challenging to model by nature. Ongoing efforts are targeting their effective modeling and simulation. This work uses experimental atomic force nanoindentation of thick hydrogels to identify the indentation forces are a function of the indentation depth. Later on, the atomic force microscopy results are used in a GENERIC general equation for non-equilibrium reversible\u2013irreversible coupling (GENERIC) formalism to identify the best model conserving basic thermodynamic laws. The data-driven GENERIC analysis identifies the material behavior with high fidelity for both data fitting and prediction.<\/jats:p>","DOI":"10.3390\/e21121165","type":"journal-article","created":{"date-parts":[[2019,11,28]],"date-time":"2019-11-28T10:54:10Z","timestamp":1574938450000},"page":"1165","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Data-Driven GENERIC Modeling of Poroviscoelastic Materials"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7100-3813","authenticated-orcid":false,"given":"Chady","family":"Ghnatios","sequence":"first","affiliation":[{"name":"Mechanical Engineering Department, Notre Dame University-Louaiz\u00e9, Zouk Mosbeh P.O. Box 72, Lebanon"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9135-866X","authenticated-orcid":false,"given":"Iciar","family":"Alfaro","sequence":"additional","affiliation":[{"name":"Aragon Institute of Engineering Research, Universidad de Zaragoza, Edificio Betancourt, Maria de Luna, s.n., 50018 Zaragoza, Spain"}]},{"given":"David","family":"Gonz\u00e1lez","sequence":"additional","affiliation":[{"name":"Aragon Institute of Engineering Research, Universidad de Zaragoza, Edificio Betancourt, Maria de Luna, s.n., 50018 Zaragoza, Spain"}]},{"given":"Francisco","family":"Chinesta","sequence":"additional","affiliation":[{"name":"ESI Chair @ ENSAM Arts et Metiers Institute of Technology, 151 Boulevard de l\u2019H\u00f4pital, F-75013 Paris, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1017-4381","authenticated-orcid":false,"given":"Elias","family":"Cueto","sequence":"additional","affiliation":[{"name":"Aragon Institute of Engineering Research, Universidad de Zaragoza, Edificio Betancourt, Maria de Luna, s.n., 50018 Zaragoza, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4482","DOI":"10.1039\/C7SM00246G","article-title":"Modeling soft permeable matter with the proper generalized decomposition (PGD) approach, and verification by means of nanoindentation","volume":"13","author":"Ghnatios","year":"2017","journal-title":"Soft Matter"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"10572","DOI":"10.1039\/c3sm51415c","article-title":"Understanding the role of viscous solvent confinement in the tribological behavior of polymer brushes: A bioinspired approach","volume":"9","author":"Bieleckia","year":"2013","journal-title":"Soft Matter"},{"key":"ref_3","first-page":"165","article-title":"Modelling of fluid support inside articular cartilage during sliding","volume":"221","author":"Pawaskar","year":"2007","journal-title":"J. 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