Study of Interaction of Reinforcement with Concrete by Numerical Methods

  • V. M. Tikhomirov
  • A. S. Samoshkin


This paper describes the study of deformation of reinforced concrete. A mathematical model for the interaction of reinforcement with concrete, based on the introduction of a contact layer, whose mechanical characteristics are determined from the experimental data, is developed. The limiting state of concrete is described using the Drucker–Prager theory and the fracture criterion with respect to maximum plastic deformations. A series of problems of the theory of reinforced concrete are solved: stretching of concrete from a central-reinforced prism and pre-stressing of concrete. It is shown that the results of the calculations are in good agreement with the experimental data.


reinforced concrete elastoplastic material contact layer numerical simulation fracture of concrete 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. M. Kholmyanskii, Concrete and Reinforced Concrete. Deformability and Strength (Stroiizdat, Moscow, 1997) [in Russian].Google Scholar
  2. 2.
    V. D. Diakovskii, “Deformation Characteristics and Calculation of Efforts of Interaction of Concrete with Reinforcing Ropes,” Author’s Abstract of Candidate’s Dissertation in Tech. Sci. (Inst. of Railroad Engineering, Novosibirsk, 1988) [in Russian].Google Scholar
  3. 3.
    A. A. Oatul and Yu. F. Kutin, “Experimental Determination of Differential Law of Adhesion of Rod Reinforcement to Concrete,” in Research on Concrete and Reinforced Concrete, Vol. 46 (Chelyabinsk Polytechnic Institute, Chelyabinsk, 1967) [in Russian].Google Scholar
  4. 4.
    A. K. De Groot and G. M. A. Kausters, “Numerical Modelling of Bond Slip Behaviour,” Heron 26 (1B), 1–90 (1981).Google Scholar
  5. 5.
    K. Lundgren and K. Gylltoft, “A Model for the Bond Between Concrete and Reinforcement,” Mag. Concrete Res. 52, 53–63 (2000).CrossRefGoogle Scholar
  6. 6.
    P. P. Nazarenko, Contact Interaction with Reinforcement and Concrete under Short-Time Loading (Siberian State Transport University, Samara, 2012) [in Russian].Google Scholar
  7. 7.
    S. N. Korobeinikov, Nonlinear Deformation of Solids (Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2000) [in Russian].zbMATHGoogle Scholar
  8. 8.
    O. C. Zienkiewicz, The Finite Element Method in Engineering Science (McGraw-Hill, London, 1971).zbMATHGoogle Scholar
  9. 9.
    S. F. Klovanich and D. I. Bezushko, The Finite Element Method in Nonlinear Calculation of Spatial Reinforced Concrete Structures (Izd. Odes. Nats. Mor. Univ., Odessa, 2009).Google Scholar
  10. 10.
    D. C. Druker and W. Prager, “Soil Mechanics and Plastic Analysis or Limit Design,” Quart. Appl. Math. 10, 157–165 (1952).MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    A. Nadai, of Flow and Fracture of Solids (McGraw Hill, New York–Toronto–London, 1950), Vol.1.Google Scholar
  12. 12.
    S. N. Korobeynikov, V. V. Reverdatto, O. P. Polyanskii, et al., “Effect of Choice of Rheological Law on Computer Modeling Results of Slab Subduction,” Sib. Zh. Vychisl. Mat. 14 (1), 71–90 (2011).zbMATHGoogle Scholar
  13. 13.
    V. I. Murashev, Crack Resistance, Hardness, and Strength of Concrete (Foundations of Resistance of Reinforced Concrete) (Mashstroyizdat, Moscow, 1950) [in Russian].Google Scholar
  14. 14.
    J. Podgorski, “General Failure Criterion for Concrete,” J. Eng. Mech. 111, 188–201 (1985).CrossRefGoogle Scholar
  15. 15.
    V. M. Tikhomirov, Yu. V. Astakhov, and A. S. Samoshkin, “Modeling of Elastic–Plastic Adhesion of Reinforcement with Concrete,” Izv. Vyssh. Uchebn. Zaved., Stroit., No. 2, 103–109 (2015).Google Scholar
  16. 16.
    COSMOSM User Guide, Vol. 4: Advanced Moduli (Structural Res. Anal. Corp., Santa Monica, 2007).Google Scholar
  17. 17.
    V. M. Tikhomirov and Yu. V. Astakhov, “Experimental and Computational Study of Interaction between Steel and Basalt Fiber Reinforced Polymer with Concrete,” Izv. Vyssh. Uchebn. Zaved., Stroit., No. 11, 128–137 (2010).Google Scholar
  18. 18.
    V. M. Tikhomirov, Yu. V. Astakhov, and A. S. Samoshkin, “Investigation of Compression of Elements of a Concrete Structure Reinforced with Rope,” Izv. Vyssh. Uchebn. Zaved., Stroit., No. 6, 5–13 (2015).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Siberian State Transport UniversityNovosibirskRussia

Personalised recommendations