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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2022 Volume 504, Pages 83–87 (Mi danma267)

This article is cited 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

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.

UDC: 519.63

Received: 09.02.2022
Revised: 27.02.2022
Accepted: 10.03.2022

DOI: 10.31857/S2686954322030067


 English version:
Doklady Mathematics, 2022, 105:3, 207–211

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© Steklov Math. Inst. of RAS, 2024