118271 20240319081017.0 doi 10.3389/fmats.2022.879614 sideral 129541 ART-2022-129541 eng Amores, V. J. Crossing Scales: Data-Driven Determination of the Micro-scale Behavior of Polymers From Non-homogeneous Tests at the Continuum-Scale 2022 Access copy available to the general public Unrestricted We propose an efficient method to determine the micro-structural entropic behavior of polymer chains directly from a sufficiently rich non-homogeneous experiment at the continuum scale. The procedure is developed in 2 stages: First, a Macro-Micro-Macro approach; second, a finite element method. Thus, we no longer require the typical stress-strain curves from standard homogeneous tests, but we use instead the applied/reaction forces and the displacement field obtained, for example, from Digital Image Correlation. The approach is based on the P-spline local approximation of the constituents behavior at the micro-scale (a priori unknown). The sought spline vertices determining the polymer behavior are first pushed up from the micro-scale to the integration point of the finite element, and then from the integration point to the element forces. The polymer chain behavior is then obtained immediately by solving a linear system of equations which results from a least squares minimization error, resulting in an inverse problem which crosses material scales. The result is physically interpretable and directly linked to the micro-structure of the material, and the resulting polymer behavior may be employed in any other finite element simulation. We give some demonstrative examples (academic and from actual polymers) in which we demonstrate that we are capable of recovering “unknown” analytical models and spline-based constitutive behavior previously obtained from homogeneous tests. Copyright © 2022 Amores, Montáns, Cueto and Chinesta. info:eu-repo/grantAgreement/EC/H2020/101007815/EU/COncurrent METAmaterial-Structure design using functionally graded metamaterials/CoMetaS This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 101007815-CoMetaS info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 3.2 2022 MATERIALS SCIENCE, MULTIDISCIPLINARY 185 / 343 = 0.539 2022 Q3 T2 0.63 2022 Materials Science (miscellaneous) 2022 Q2 4.7 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Montáns, F. J. Cueto, E. Universidad de Zaragoza (orcid)0000-0003-1017-4381 Chinesta, F. 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 9 (2022), 879614 [13 pp.] Front. mater. Frontiers in Materials 2296-8016 1306242 http://zaguan.unizar.es/record/118271/files/texto_completo.pdf Versión publicada 2214730 http://zaguan.unizar.es/record/118271/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118271 articulos driver 2024-03-18-15:48:15 ARTICLE