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Modeling of Textiles as Nets of One-Dimensional Hyperelastic Strings with Friction Controlled by Capstan Equation

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Numerical Methods and Applications (NMA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8962))

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Abstract

This paper deals with the computational modeling of the in-plane stretch behavior of knitted textiles. Yarns in textiles are modeled as one-dimensional hyperelastic strings with frictional contact. The model is the limiting case of the three-dimensional contact model, as diameters of the yarns’ cross-sections tend to zero. The model is analyzed theoretically and solved by the finite element method with one-dimensional hyperelastic truss elements, with an extension to frictional point-to-point contact. Numerical results for in-plane loading experiments obtained by this approach are discussed and compared with results of real measurements.

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Author information

Authors and Affiliations

  1. Fraunhofer ITWM, Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany

    Vladimir Shiryaev & Julia Orlik

  2. Technical University of Kaiserslautern, Gottlieb-Daimler-StraĂźe 47, 67663, Kaiserslautern, Germany

    Vladimir Shiryaev

Authors
  1. Vladimir Shiryaev
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  2. Julia Orlik
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Corresponding author

Correspondence to Vladimir Shiryaev .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Stefka Fidanova

  3. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

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Shiryaev, V., Orlik, J. (2015). Modeling of Textiles as Nets of One-Dimensional Hyperelastic Strings with Friction Controlled by Capstan Equation. In: Dimov, I., Fidanova, S., Lirkov, I. (eds) Numerical Methods and Applications. NMA 2014. Lecture Notes in Computer Science(), vol 8962. Springer, Cham. https://doi.org/10.1007/978-3-319-15585-2_25

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  • DOI: https://doi.org/10.1007/978-3-319-15585-2_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15584-5

  • Online ISBN: 978-3-319-15585-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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