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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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Correspondence to Vladimir Shiryaev .

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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

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