60665 20200221144220.0 doi 10.1007/s11831-016-9197-9 sideral 96705 ART-2016-96705 eng Ibañez, R. A Manifold Learning Approach to Data-Driven Computational Elasticity and Inelasticity 2016 Access copy available to the general public Unrestricted Standard simulation in classical mechanics is based on the use of two very different types of equations. The first one, of axiomatic character, is related to balance laws (momentum, mass, energy, ...), whereas the second one consists of models that scientists have extracted from collected, natural or synthetic data. Even if one can be confident on the first type of equations, the second one contains modeling errors. Moreover, this second type of equations remains too particular and often fails in describing new experimental results. The vast majority of existing models lack of generality, and therefore must be constantly adapted or enriched to describe new experimental findings. In this work we propose a new method, able to directly link data to computers in order to perform numerical simulations. These simulations will employ axiomatic, universal laws while minimizing the need of explicit, often phenomenological, models. This technique is based on the use of manifold learning methodologies, that allow to extract the relevant information from large experimental datasets. info:eu-repo/grantAgreement/ES/DGA/T88 info:eu-repo/grantAgreement/ES/MINECO/DPI2014-51844-C2-1-2-R info:eu-repo/grantAgreement/ES/MINECO/DPI2015-72365-EXP info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 5.061 2016 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 5 / 105 = 0.048 2016 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 1 / 100 = 0.01 2016 Q1 T1 ENGINEERING, MULTIDISCIPLINARY 2 / 85 = 0.024 2016 Q1 T1 1.191 2016 Computer Science Applications 2016 Q1 Applied Mathematics 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Abisset-Chavanne, E. Aguado, J.V. (orcid)0000-0003-3003-5856 Gonzalez, D. Universidad de Zaragoza (orcid)0000-0003-1017-4381 Cueto, E. Universidad de Zaragoza Chinesta, F. 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. (2016), [11 pp.] Arch. comput. methods eng. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING 1134-3060 2406523 http://zaguan.unizar.es/record/60665/files/texto_completo.pdf Postprint 90802 http://zaguan.unizar.es/record/60665/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:60665 articulos driver 2020-02-21-13:14:26 ARTICLE