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High-Order Elasticity Interpolants for Microstructure Simulation

dc.contributor.authorChan-Lock, Antoine
dc.contributor.authorPérez, Jesús
dc.contributor.authorOtaduy, Miguel Ángel
dc.date.accessioned2023-09-27T13:42:00Z
dc.date.available2023-09-27T13:42:00Z
dc.date.issued2023
dc.identifier.citationChan-Lock, A., Pérez, J. and Otaduy, M.A. (2022), High-Order Elasticity Interpolants for Microstructure Simulation. Computer Graphics Forum, 41: 63-74. https://doi.org/10.1111/cgf.14624es
dc.identifier.issn1467-8659
dc.identifier.urihttps://hdl.handle.net/10115/24579
dc.descriptionEuropean Research Council. Grant Number: ERC-2017-CoG-772738 TouchDesignes
dc.description.abstractWe propose a novel formulation of elastic materials based on high-order interpolants, which fits accurately complex elastic behaviors, but remains conservative. The proposed high-order interpolants can be regarded as a high-dimensional extension of radial basis functions, and they allow the interpolation of derivatives of elastic energy, in particular stress and stiffness. Given the proposed parameterization of elasticity models, we devise an algorithm to find optimal model parameters based on training data. We have tested our methodology for the homogenization of 2D microstructures, and we show that it succeeds to match complex behaviors with high accuracy.es
dc.language.isoenges
dc.publisherWileyes
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectComputing methodologieses
dc.subjectPhysical simulationes
dc.titleHigh-Order Elasticity Interpolants for Microstructure Simulationes
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1111/cgf.14624es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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Attribution-NonCommercial-NoDerivatives 4.0 InternacionalExcept where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional