95864 20201022121026.0 doi 10.1063/1.5112643 sideral 115942 ART-2019-115942 eng (orcid)0000-0003-3003-5856 González, D. Universidad de Zaragoza Data-driven correction of models for deformable solids 2019 Access copy available to the general public Unrestricted Unveiling physical laws from data is seen as the ultimate sign of human intelligence. While there is a growing interest in this sense around the machine learning community, some recent works have attempted to simply substitute physical laws by data. We believe that getting rid of centuries of scientific knowledge is simply nonsense. There are models whose validity and usefulness is out of any doubt, so try to substitute them by data seems to be a waste of knowledge. While it is true that fitting well-known physical laws to experimental data is sometimes a painful process, a good theory continues to be practical and provide useful insights to interpret the phenomena taking place. That is why we present here a method to construct, based on data, automatic corrections to existing models. Emphasis is put in the correct thermodynamic character of these corrections, so as to avoid violations of first principles such as the laws of thermodynamics. These corrections are sought under the umbrella of the GENERIC framework [M. Grmela and H. Ch. Oettinger, Dynamics and thermodynamics of complex fluids. I. Development of a general formalism. Phys. Rev. E 56, 6620, 1997], a generalization of Hamiltonian mechanics to non-equilibrium thermodynamics. This framework ensures the satisfaction of the first and second laws of thermodynamics, while providing a very appealing context for the proposed automated correction of existing laws. In this work we focus on solid mechanics, particularly large strain (visco-) hyperelasticity. info:eu-repo/grantAgreement/ES/DGA/T24-17R info:eu-repo/grantAgreement/ES/MINECO/DPI2017-85139-C2-1-R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.19 2019 Physics and Astronomy (miscellaneous) 2019 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Chinesta, F. (orcid)0000-0003-1017-4381 Cueto, E. Universidad de Zaragoza 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 2113 (2019), 100010 [4 pp.] AIP conf. proc. AIP Conference Proceedings 0094-243X 107716 http://zaguan.unizar.es/record/95864/files/texto_completo.pdf Postprint 396730 http://zaguan.unizar.es/record/95864/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:95864 articulos driver 2020-10-22-11:04:54 ARTICLE