Numerical Simulation of Deformations of Basalt Roving

  • Anastasia V. Sivtseva
  • Petr V. SivtsevEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)


In the modern world, there is a growing need for composite materials that satisfy such rigid, often conflicting requirements as minimizing the weight of structures, maximizing strength, rigidity, reliability, durability when working under severe loading conditions, low temperatures and in corrosive environments. Compared to traditional materials, fiber-based composites (glass-, basalt-) have a number of advantages - corrosion resistance, chemical inertness, low thermal conductivity, high specific mechanical characteristics, low weight, durability, low installation costs. Basalt fibers are much cheaper than S-glass fibers.

The Republic of Sakha (Yakutia) is a region with extreme climatic conditions, rich in mineral resources, but remote from industrial centers of the Russian Federation. Therefore, special requirements are imposed on building structural materials used in the Far North conditions, such as frost resistance, increased toughness, wear resistance, etc. A significant problem in the construction in permafrost conditions and repeated freeze/thaw cycles is the provision of durability of reinforced foundation structures and piles, working in conditions that promote the acceleration of corrosion of steel reinforcement and concrete.

In this work we consider the elasticity equations, which describe stress-strain basalt roving. For numerical solution we approximate our system using finite elements method. As the model problem we consider deformations of basalt roving subjected to three point bending test to define dependence of the strength of the basalt roving on interlacing of fibers. The results of numerical simulation of the 3D problem and comparison with experimental data are presented.



The research was supported by mega-grant of the Russian Federation Government (N 14.Y26.31.0013).


  1. 1.
    Novickij, A.G., Efremov, M.V., Fedotov, G.B.: Issledovanie i sovershenstvovanie processov polucheniya nepreryvnogo bazal’tovogo volokna. Sb. dokl. V Vserossijskoj nauchno-prakticheskoj konferencii \(\ll \)Tekhnika i tekhnologiya proizvodstva teploizolyacionnyh materialov iz mineral’nogo syr’ya\(\gg \), pp. 12–21. CEHI \(\ll \)Himmash\(\gg \) (2005)Google Scholar
  2. 2.
    Shaludin, S.A.: Primenenie bazal’toplastikovoy i kompozitnoy armatury kak innovatsionno orientirovannyy instrument obespecheniya sotsial’no-ekonomicheskogo razvitiya stroitel’nogo kompleksa. Vestnik Moskovskogo gosudarstvennogo otkrytogo universiteta. Tekhnika i Tekhnologiya 2(8), 59–63 (2012)Google Scholar
  3. 3.
    Kustikova, Yu.O., Rimshin, V.I.: Stressed-deformed state of basalt-plastic reinforcement in reinforced concrete structures. Promyshlennoe i grazhdanskoe stroitel ’stvo [Ind. Civ. Eng.] 6, 6–9 (2014)Google Scholar
  4. 4.
    Usachev, A.M., Chorochordin, A.M., Abdurashidov, M.M.: Estimation of mechanical properties of polymeric composition armature. Nauchniy Vestnik Voronezhskogo gosudarstvennogo arhitekturno-stroitelnogo universiteta, pp. 16–20 (2014)Google Scholar
  5. 5.
    Sidorenko, Yu.N., Kashcheeva, O.: Structural and Functional Fibrous Composite Materials, vol. 107. TSU, Tomsk (2006)Google Scholar
  6. 6.
    Afanaseva, N.M., Vabishchevich, P.N., Vasileva, M.V.: Unconditionally stable schemes for convection-diffusion problems. Russ. Math. 57(3), 1–11 (2013)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Lui, S.H.: Numerical Analysis of Partial Differential Equations. Wiley, Hoboken (2012)Google Scholar
  8. 8.
    Kolesov, A.E., et al.: Numerical analysis of reinforced concrete deep beams. In: Dimov, I., Farago, I., Vulkov, L. (eds.) NAA 2016. LNCS, vol. 10187, pp. 414–421. Springer, Cham (2016). Scholar
  9. 9.
    Kari, S., Berger, H., Gabbert, U.: Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites. Comput. Mater. Sci. 39(1), 198–204 (2007)CrossRefGoogle Scholar
  10. 10.
    Zakharov, P.E., Sivtsev, P.V.: Numerical calculation of the effective coefficient in the problem of linear elasticity of a composite material. Math. Notes NEFU 24(2), 75–84 (2017)zbMATHGoogle Scholar
  11. 11.
    Logg, A., Mardal, K.A., Wells, G.N.: Automated Solution of Differential Equations by the Finite Element Method. LNCSE. Springer, Heidelberg (2012). Scholar

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Authors and Affiliations

  1. 1.Larionov Institute of the Physical-Technical Problems of the North of the Siberian Branch of the RASYakutskRussia
  2. 2.Ammosov North-Eastern Federal UniversityYakutskRussia

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