Research methods of interaction of reinforcement with concrete. Part 2. Numerical models
https://doi.org/10.52170/1815-9265_2023_64_109
Abstract
In this paper, an analytical review of numerical models describing the bond-slip of reinforcement to concrete. The implementation of mathematical models based on the finite element method is considered. Two main groups of such methods were analyzed. A distinctive feature of the first group is the presence of special connection elements in the finite element model of reinforced concrete. With the help of these elements, the bond-slip was modeled when the concrete was displaced relative to the reinforcement in the longitudinal and transverse directions. The connection elements differ in the number of parameters of the stiffness matrix. This approach to contact modeling is widespread, and some special contact elements have been added to the libraries of calculation systems. In another group of methods, to simplify the modeling of mechanical processes in the contact zone, a special contact (boundary) continuous layer is introduced. In this case, the finite element mesh of the layer consists of standard isoparametric finite elements, and the reinforced concrete is represented by a continuous inhomogeneous medium without discontinuities in the displacement fields.
All considered methods of numerical modeling of contact interaction in reinforced concrete do not describe the real stress-strain state in the immediate vicinity of the reinforcing bar. The approaches differ in the number of parameters that make it possible to completely describe the stiffness matrix of specially introduced finite elements. In the article, the identification of these parameters is given special attention. The main characteristic of the method depends on the versatility and simplicity of identification methods – the possibility of its application for the calculation of reinforced concrete structures. A comparative analysis of the considered technologies is carried out from the point of view of their practical application for calculating the parameters of the stress-strain state of reinforced concrete structures.
About the Authors
A. M. Popov
Siberian Transport University
Russian Federation
Russian Federation
Anatoly M. Popov – Head of the Structural Theoretical Department, Doctor of Engineering, Professor
Novosibirsk
A. S. Samoshkin
Siberian Transport University
Russian Federation
Russian Federation
Anton S. Samoshkin – Associate Professor of the Theoretical Mechanics Department, Candidate of Engineering
Novosibirsk
V. M. Tikhomirov
Siberian Transport University
Russian Federation
Russian Federation
Victor M. Tikhomirov – Professor of the Structural Mechanics Department, Doctor of
Engineering, Associate Professor
Novosibirsk
References
1. Popov A. M., Samoshkin A. S., Tikhomirov V. M. Research methods of reinforcement with concrete interaction. Part 1. Experimental and analytical methods. The Siberian Transport University Bulletin. 2021;(2):53–60. (In Russ.).
2. Ngo D., Scordelis A. C. Finite element analysis of reinforced concrete beams. ACI Journal Proceedings. 1967;64(3):152–163.
3. Robins P. J. Reinforced concrete deep beams studied experimentally and by the finite element methods: thesis for the degree of doctor of philosophy. Nottingham: University of Nottingham; 1971. 258 p.
4. Labib F., Edwards A. D. An analytical investigation of cracking in concentric and eccentric reinforced concrete tehsion members. Proceedings of the Institution of Civil Engineers. 1978;65(1):53–70.
5. Scordelis A. C., Ngo D., Franklin H. A. Finite element study of reinforced concrete beams with diagonal tension cracks. Special Publication. 1974;(42):79–102.
6. Nagatomo K., Kaku T. Experimental and analytical study on bond characteristics of reinforcing bars with only a single transverse rib. Transactions of the Japan Concrete Institute. 1985;(7):333–340.
7. Benin A. V., Semenov A. S., Semenov S. G., Melnikov B. E. Simulation of degradation of bond between reinforcing bar and concrete. Part 1. Models with account of the discontinuity. Magazine of Civil Engineering. 2013;(5):86–99. (In Russ.).
8. Lundgren K., Gylltoft K. A model for the bond between concrete and reinforcement. Magazine of Concrete Research. 2000;52(1):53–63.
9. Lundgren K. Three-dimensional modelling of bond in reinforced concrete theoretical model, experiments and applications: Thesis for the degree of doctor of philosophy. Göteborg, Sweden: Chalmers University of Technology; 1999. 55 p.
10. Lundgren K. Modeling bond between corroded reinforcement and concrete. Fracture Mechanics of Concrete Structures. 2001;(1):247–254.
11. Tikhomirov V. M., Samoshkin A. S. Mathematical model of reinforced concrete structural elements tension with regard to fracture of concrete. News of higher educational institutions. Construction. 2016;10/11:13–21. (In Russ.).
12. Nilson A. H. Nonlinear analysis of reinforced concrete by the finite element method. ACI Journal Proceedings. 1968;65:757–766.
13. Bresler B., Bertero V. V. Influence of load history on cracking in reinforced concrete. Berkeley, California, USA: Department of Civil Engineering, Division of Structural Engineering and Structural Mechanics, University of California; 1966. 20 p.
14. Mirza S. M., Houde J. Study of bond stress-slip relationships in reinforced concrete. ACI Journal proceedings. 1979;76:19–46.
15. Allwood R. J. Reinforcement stresses in a reinforced concrete beam-column connection. Magazine of Concrete Research. 1980;32(112):143–146.
16. Parsons S. D. Representation of bond in finite element analyses of reinforced concrete structures: thesis for the degree of doctor of philosophy. Loughborough: Loughborough University of Technology; 1984. 310 p.
17. Allwood R. J., Parsons S. D., Robins P. J. New bond model for reinforced concrete. Proc. Int. Conf. on Computer-Aided Analysis and Design of Concrete Structure. Split, Yugoslavia; 1984. P. 215–230.
18. ANSYS Mechanical APDL theory reference. Release 15.0. Canonsburg, Pennsylvania, USA; 2013. 952 p.
19. Kholmyanskiy M. M. Contacts of reinforcement with concrete. Moscow: Stroiizdat; 1981. 184 p. (In Russ.).
20. Groot A. K. de, Kusters G. M. A., Monnier T. Numerical modelling of bond slip behaviour. Heron. 1981;26(1b):89.
21. Keuser M., Mehlhorn G. Finite element models for bond problems. Journal of Structural Engineering. 1987;113(10):2160–2173.
22. Yankelevsky D. Z. New finite element for bond-slip analysis. Journal of Structural Engineering. 1985;111(7):1533–1542.
23. Phillips D. V., Zienkiewicz O. C. Finite element non-linear analysis of concrete structures. Proceedings of Institution of Civil Engineers. 1976;(61):59–88.
24. Grassl P., Davies T. Lattice modelling of corrosion induced cracking and bond in reinforced concrete. Cement and Concrete Composites. 2011;33(9):918–924.
25. Samoshkin A. S., Tikhomirov V. M. Mathematical model of reinforced concrete deformation with considering contact interaction of its structural components. Computational Technologies. 2017;22(1):75–86. (In Russ.).
26. Tikhomirov V. M., Samoshkin A. S. Study of Interaction of Reinforcement with Concrete by Numerical Methods. Journal of Applied Mechanics and Technical Physics. 2018;59(1):168–175. (In Russ.).
27. Kholmyanskiy M. M. Concrete and Reinforced Concrete. Deformability and Strength. Moscow: Stroyizdat; 1997. 576 p. (In Russ.).
28. Benin A. V., Semenov A. S., Semenov S. G., Melnikov B. E. The Simulation of Bond Fracture between Reinforcing Bars and concrete. Part 2. Models without taking the Bond Discontinuity into account. Magazine of Civil Engineering. 2014;(1):23–40. (In Russ.).
Review
For citations:
Popov A.M., Samoshkin A.S., Tikhomirov V.M. Research methods of interaction of reinforcement with concrete. Part 2. Numerical models. Bulletin of Siberian State University of Transport. 2023;(1):109-118. (In Russ.) https://doi.org/10.52170/1815-9265_2023_64_109
Views:
5
Email this article 