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Crack propagation in flexural fatigue of concrete using rheological-dynamical theory

  • Pancic, Aleksandar (Faculty of Civil Engineering Subotica, University of Novi Sad) ;
  • Milasinovic, Dragan D. (Faculty of Civil Engineering Subotica, University of Novi Sad) ;
  • Goles, Danica (Faculty of Civil Engineering Subotica, University of Novi Sad)
  • Received : 2019.05.22
  • Accepted : 2020.12.30
  • Published : 2021.01.25

Abstract

The concrete fatigue analysis can be performed with the use of fracture mechanics. The fracture mechanics defines the fatigue crack propagation as the relationship of crack growth rate and stress intensity factor. In contrast to metal, the application of fracture mechanics to concrete is more complicated and therefore many authors have introduced empirical expressions using Paris law. The topic of this paper is development of a new prediction of fatigue crack propagation for concrete using rheological-dynamical analogy (RDA) and finite element method (FEM) in the frame of linear elastic fracture mechanics (LEFM). The static and cyclic fatigue three-point bending tests on notched beams are considered. Verification of the proposed approach was performed on the test results taken from the literature. The comparison between the theoretical model and experimental results indicates that the model proposed in this paper is valid to predict the crack propagation in flexural fatigue of concrete.

Keywords

References

  1. Abraham, N.M., Simon, K.M. and Chandra Kishen J.M. (2013), "A study on fatigue crack growth in concrete in the pre-Paris region", International Conference on Fracture Mechanics of Concrete and Concrete Structures FraMCoS-8.
  2. Banjara, N.K. and Ramanjaneyulu, K. (2018), "Experimental investigations and numerical simulations on the flexural fatigue behavior of plain and fiber-reinforced concrete", J. Mater. Civil Eng., 30(8), 272-288. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002351.
  3. Bazant, Z.P and Hubler, M.H. (2014), "Theory of cyclic creep of concrete based on Paris law for fatigue growth of subcritical microcracks", J. Mech. Phys. Solid., 63, 187-200. http://dx.doi.org/10.1016/j.jmps.2013.09.010.
  4. EN 1992-1-1 (2004), Eurocode 2: Design of Concrete Structures. Part 1-1: General Rules and Rules for Buildings, CEN, Brussels.
  5. fib Model Code for Concrete Structures 2010 (2013), Ernst & Sohn.
  6. Guinea, G.V., Pastor, J.Y., Planas, J. and Elices, M. (1998), "Stress intensity factor, compliance and CMOD for a general threepoint-bend beam", Int. J. Fract., 89, 103-116. https://doi.org/10.1023/A:1007498132504.
  7. Kirane, K. and Bazant, Z.P. (2016), "Size effect in Paris law and fatigue lifetimes for quasi brittle materials: Modified theory, experiments and micro-modeling", Int. J. Fatig., 83, 209-220. http://dx.doi.org/10.1016/j.ijfatigue.2015.10.015.
  8. Marzec, I., Tejchman, J. and Winnicki, A. (2015), "Computational simulations of concrete behaviour under dynamic conditions using elasto-visco-plastic model with non-local softening", Comput. Concrete, 15(4), 515-545. https://doi.org/10.12989/cac.2015.15.4.515.
  9. Milasinovic, D.D. (2000), "Rheological-dynamical analogy: prediction of buckling curves of columns", Int. J. Solid. Struct., 37(29), 3965-4004. https://doi.org/10.1016/S0020-7683(99)00211-5.
  10. Milasinovic, D.D. (2003), "Rheological-dynamical analogy: modeling of fatigue behavior", Int. J. Solid. Struct., 40(1), 181-217. https://doi.org/10.1016/S0020-7683(02)00518-8.
  11. Milasinovic, D.D. (2007), "Rheological-dynamical analogy: Prediction of damping parameters of hysteresis damper", Int. J. Solid. Struct., 44(22-23), 7143-7166. https://doi.org/10.1016/j.ijsolstr.2007.04.001.
  12. Milasinovic, D.D. (2011), "Fatigue crack growth and failure of inelastic rods based on rheological-dynamical analogy", Int. J. Fatig., 33(3), 372-381. https://doi.org/10.1016/j.ijfatigue.2010.09.011.
  13. Milasinovic, D.D. (2015), "Rheological-dynamical continuum damage model for concrete under uniaxial compression and its experimental verification", Theo. Appl. Mech., 42(2), 73-110. https://doi.org/10.2298/TAM1502073M.
  14. Paris, P.C. and Erdogan, F. (1963), "A critical analysis of crack propagation laws", J. Basic Eng., 85, 528-533. https://doi.org/10.1115/1.3656900
  15. Sumarac, D. and Krajcinovic, D. (1990), Osnovi Mehanike Loma, Naucna knjiga, Beograd, Serbia.
  16. Sumarac, D., Sekulovic, M. and Krajcinovic, D. (2003), "Fracture of reinforced concrete beams subjected to three point bending", Int. J. Damage Mech., 12(1), 31-44. https://doi.org/10.1177%2F1056789503012001002. https://doi.org/10.1177%2F1056789503012001002
  17. Toumi, A., Bascoul, A. and Turatsinze, A. (1998), "Crack propagation in concrete subjected to flexural cyclic loading", Mater. Struct., 31, 451-458. https://doi.org/10.1007/BF02480468.