Geodesic
On the problem of composite beam degradation under longitudinal bending and the solution method for large displacements
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 3, pp. 364-376

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Constitutive relations and a method for analyzing the behavior of fiberglass during longitudinal bending under the combined influence of force factors and an alkaline medium were proposed. Both natural and numerical experimental designs were outlined. A new approach to solving the problem of longitudinal bending of a fiberglass beam with initial failure was introduced, without involving geometrically nonlinear relations. This approach proved to be applicable when the resulting beam configuration is a flat curve. The results of numerical calculations were presented. In the first case, the beam with initial failure was studied using the new approach along with the finite element method (FEM). In the second case, for verification, the problem was solved in a geometrically nonlinear formulation. The results obtained showed a strong agreement.
Keywords: fiberglass, finite element model, geometric nonlinearity, alkaline medium, failure parameter, numerical experiment. 
@article{UZKU_2024_166_3_a6,
     author = {R. A. Kayumov and I. Z. Mukhamedova and L. I. Khaidarov and B. F. Tazyukov},
     title = {On the problem of composite beam degradation under longitudinal bending and the solution method for large displacements},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {364--376},
     publisher = {mathdoc},
     volume = {166},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2024_166_3_a6/}
}
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R. A. Kayumov; I. Z. Mukhamedova; L. I. Khaidarov; B. F. Tazyukov. On the problem of composite beam degradation under longitudinal bending and the solution method for large displacements. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 3, pp. 364-376. http://geodesic.mathdoc.fr/item/UZKU_2024_166_3_a6/