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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 504, Pages 83–87
DOI: https://doi.org/10.31857/S2686954322030067
(Mi danma267)
 

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL PHYSICS

On numerical modeling of fiber deformation and destruction under impact load

I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, E. S. Onuchin, N. A. Tovarnova

Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
Citations (1)
References:
Abstract: The motion, deformation, and destruction of a thin fiber under the action of a transverse shock load are numerically simulated. The fiber is described by the equations of Rakhmatulin’s theory. The system of dynamic equations is solved using the finite-difference method. The parameters for the model can be obtained directly from impact loading experiments, so the dependence of the material properties on the strain rate can be taken into account. Numerical results for aramid fibers under impact load are presented. Loading modes with and without fiber breakage are considered. A direct comparison of the numerical and experimental data is presented. A good agreement between them is demonstrated. The resulting validated numerical model of a single fiber can further be used to describe a fabric material as a system of interacting fibers.
Keywords: thin fiber, impact load, transverse load, transverse wave speed, destruction, numerical solution.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-17027
This work was supported by the Russian Foundation for Basic Research, project no. 18-29-17027.
Received: 09.02.2022
Revised: 27.02.2022
Accepted: 10.03.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 3, Pages 207–211
DOI: https://doi.org/10.1134/S1064562422030061
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, E. S. Onuchin, N. A. Tovarnova, “On numerical modeling of fiber deformation and destruction under impact load”, Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022), 83–87; Dokl. Math., 105:3 (2022), 207–211
Citation in format AMSBIB
\Bibitem{PetVasBek22}
\by I.~B.~Petrov, A.~V.~Vasyukov, K.~A.~Beklemysheva, E.~S.~Onuchin, N.~A.~Tovarnova
\paper On numerical modeling of fiber deformation and destruction under impact load
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 504
\pages 83--87
\mathnet{http://mi.mathnet.ru/danma267}
\crossref{https://doi.org/10.31857/S2686954322030067}
\elib{https://elibrary.ru/item.asp?id=48649159}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 3
\pages 207--211
\crossref{https://doi.org/10.1134/S1064562422030061}
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  • https://www.mathnet.ru/eng/danma/v504/p83
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    Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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    References:17
     
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