Theoretical study and numerical simulation of textiles (Articolo in rivista)

Type
Label
  • Theoretical study and numerical simulation of textiles (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.apm.2010.11.062 (literal)
Alternative label
  • Antonietti P.F. , Biscari P., Tavakoli A., Verani M., Vianello M. (2011)
    Theoretical study and numerical simulation of textiles
    in Applied mathematical modelling; Elsevier Inc., San Diego (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Antonietti P.F. , Biscari P., Tavakoli A., Verani M., Vianello M. (literal)
Pagina inizio
  • 2669 (literal)
Pagina fine
  • 2681 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 35 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 5 (literal)
Note
  • Scopus (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • MOX - Laboratorio di Modellistica e Calcolo Scientifico, Dipartimento di Matematica Francesco Brioschi, Politecnico di Milano; Dipartimento di Matematica Francesco Brioschi, Politecnico di Milano. (literal)
Titolo
  • Theoretical study and numerical simulation of textiles (literal)
Abstract
  • We propose a new approach for developing continuum models fit to describe the mechanical behavior of textiles. We develop a physically motivated model, based on the properties of the yarns, which can predict and simulate the textile behavior. The approach relies on the selection of a suitable topological model for the patch of the textile, coupled with constitutive models for the yarn behavior. The textile structural configuration is related to the deformation through an energy functional, which depends on both the macroscopic deformation and the distribution of internal nodes. We determine the equilibrium positions of these latter, constrained to an assigned macroscopic deformation. As a result, we derive a macroscopic strain energy function, which reflects the possibly nonlinear character of the yarns as well as the anisotropy induced by the microscopic topological pattern. By means of both analytical estimates and numerical experiments, we show that our model is well suited for both academic test cases and real industrial textiles, with particular emphasis on the tricot textile. © 2010 Elsevier Inc. (literal)
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