The Development of Transformation Elements between the Fracture Mechanics Dependences and the Equations of the Reinforced Concrete Theory

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    It has been developed a transformational element that relates the dependencies of the fracture mechanics to the calculation of reinforced concrete structures by the second group of limiting states. It is described the features of cutting a two-cantilever element including a crack for constructing an effective instrument of calculation for reinforced concrete with allowance for physical nonlinearity, cracking processes, bond of reinforcement with concrete and the effect of discontinuity. The results of development of two-cantilever elements of fracture mechanics for various force effects are presented: bending, eccentric compression, central extension, and also in the zone of inclined cracks. It is obtained a new solution to the problem of the stressed-strained state of the reinforced concrete element in the zone immediately adjacent to the crack.

     


  • Keywords


    transformation element, fracture mechanics, reinforced concrete structures, two-cantilever element, calculating apparatus, crack resistance, bond, discontinuity effect.

  • References


      [1] ACI Committee 446, Fracture Mechanics (1992), Fracture mechanics of concrete structures. Part I, State-of-Art Report (Edited by Z.P. Bažant), Elsevier Applied Science, London and New York: 1–140.

      [2] Zaytsev YuV (1991), Fracture Mechanics for builders, High School Publ., pp: 93–169.

      [3] Golishev AB & Kolchunov VI (2009), The resistance of reinforced concrete, Osnova Publ., pp: 223–295.

      [4] Morozov EN & Nikishkov GP (2010), Finite element method in fracture mechanics, Editorial URSS Publ., pp: 89–107 p.

      [5] Veruzhsky YuV, Kolchunov VI (2005), Methods of reinforced concrete mechanics. NAU Publ., pp: 72–131.

      [6] Kolchunov VI & Iakovenko IA, “The development of a two-cantilever element of the fracture mechanics for calculation the width of cracks opening in reinforced concrete structures”, Bulletin of Civil Engineers, Vol. 4, No.21, (2009), pp. 160–163.

      [7] Klueva NV, Kolchunov VI, Iakovenko IA, “The problem tasks of the fracture mechanics hypotheses development applied to the calculation of reinforced concrete structures”, Kazan State University of Architecture and Engineering news, Vol. 3, No. 29, (2014), pp. 41–45.

      [8] Kolchunov VI & Iakovenko IA, “On the account of the disruption of continuity effect in reinforced concrete during the reconstruction of textile industry enterprises”, Proceedings of high schools. Technology of textile industry. Vol. 3, No 363, (2016), pp. 258–263.

      [9] Barenblatt GI (1993), Some general aspects of fracture mechanics. In Modelling of Defects and Fracture Mechanics, Herrmann, G. (ed.), Springer-Verlag, Vienna, New York, pp: 29–50.

      [10] Sih GC, “Some basic problems in fracture mechanics and new concepts”, Engineering Fracture Mechanics, Vol. 5, (1973), pp. 365–377.

      [11] Hillerborg A, Modeer M & Petersson PE. “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements”, Cement and Concrete Research, Vol. 6, (1976), pp. 773–782.

      [12] Bažant ZP & Oh BH “Concrete fracture via stress-strain relations”, Center for Concrete and Geomaterials, Northwestern University, (1981), Report 81–10/665.

      [13] Iakovenko I, Kolchunov Vl. “The development of fracture mechanics hypotheses applicable to the calculation of reinforced concrete structures for the second group of limit states”, Journal of Applied Engineering Science, Vol. 15(2017)3, article 455, (2017), pp. 366–375, doi:10.5937/jaes15-14662.

      [14] Bambura AM, Pavlikov AM, Kolchunov VI, Kochkarev DV, Iakovenko IA, Manual for the calculation of reinforced concrete structures in accordance with the current norms of Ukraine (State Building Standards 2.6.B-98:2009) and new deformation models developed for their replacement, Toloka Publ., (2017), pp: 113–249.

      [15] Iakovenko I, Kolchunov V, Lymar I, Rigidity of reinforced concrete structures in the presence of different cracks, MATEC Web of Conferences. 6th International Scientific Conference «Reliability and Durability of Railway Transport Engineering Structures and Buildings». Transbud-2017. Kharkiv, Ukraine, April 19–21, Vol. 0216, (2017), 12 p.

      [16] Bidgosyan GK, “The main results of experimental studies of the stretched concrete resistance between the cracks of composite non-eccentrically compressed reinforced concrete structures”, Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, Vol. 5, No. 70, (2011), pp. 124–127.

      [17] Iakovenko IA, “Analysis of the results of experimental studies of the crack opening width of composite non-eccentrically compressed reinforced concrete structures”, Building of Ukraine, Vol. 6, (2009), pp: 20–23.

      [18] Kolchunov VI, Iakovenko IA, Usenko NV, Prijmak AO, “Methodology of experimental studies of reinforced concrete composite structures on inclined sections”, Building Constructions, Vol. 78, Book 1, (2013), pp: 422–433.

      [19] Kolchunov VI, Iakovenko IA, Dmitrenko EA, “The main results of experimental studies of bond rebar with concrete during pulling out and depressurizing by deformation action, taking into account the decreasing branch of deformation”, Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, Vol. 5, No. 100, (2016), pp. 115–124.

      [20] Piskunov, V. G., Goryk, A. V., & Cherednikov, V. N. (2000). Modeling of transverse shears of piecewise homogeneous composite bars using an iterative process with account of tangential loads. 1. construction of a model.Mechanics of Composite Materials, 36(4), 287-296. doi:10.1007/BF02262807

      [21] Piskunov, V. G., Gorik, A. V., & Cherednikov, V. N. (2000). Modeling of transverse shears of piecewise homogeneous composite bars using an iterative process with account of tangential loads 2. resolving equations and results. Mechanics of Composite Materials, 36(6), 445-452. https://doi.org/10.1023/A:1006798314569

      [22] Kochkarev, D., & Galinska, T. (2017). Calculation methodology of reinforced concrete elements based on calculated resistance of reinforced concrete. Paper presented at the MATEC Web of Conferences, , 116 https://doi.org/10.1051/matecconf/201711602020

      [23] Zotsenko, M., Vynnykov, Y., Doubrovsky, M., Oganesyan, V., Shokarev, V., Syedin, V., Meshcheryakov, G. (2013). Innovative solutions in the field of geotechnical construction and coastal geotechnical engineering under difficult engineering-geological conditions of ukraine. Paper presented at the 18th International Conference on Soil Mechanics and Geotechnical Engineering: Challenges and Innovations in Geotechnics, ICSMGE 2013, 32645-2648

      [24] Babich, V. I., & Kochkarev, D. V. (2004). Calculation of elements of reinforced-concrete by deformation method. Beton i Zhelezobeton, (2), 12-17.


 

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Article ID: 27214
 
DOI: 10.14419/ijet.v7i4.8.27214




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