The Development of Transformation Elements between the Fracture Mechanics Dependences and the Equations of the Reinforced Concrete Theory
Keywords:transformation element, fracture mechanics, reinforced concrete structures, two-cantilever element, calculating apparatus, crack resistance, bond, discontinuity effect.
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.
 ACI Committee 446, Fracture Mechanics (1992), Fracture mechanics of concrete structures. Part I, State-of-Art Report (Edited by Z.P. BaÅ¾ant), Elsevier Applied Science, London and New York: 1â€“140.
 Zaytsev YuV (1991), Fracture Mechanics for builders, High School Publ., pp: 93â€“169.
 Golishev AB & Kolchunov VI (2009), The resistance of reinforced concrete, Osnova Publ., pp: 223â€“295.
 Morozov EN & Nikishkov GP (2010), Finite element method in fracture mechanics, Editorial URSS Publ., pp: 89â€“107 p.
 Veruzhsky YuV, Kolchunov VI (2005), Methods of reinforced concrete mechanics. NAU Publ., pp: 72â€“131.
 Kolchunov VI & Iakovenko IA, â€œThe development of a two-cantilever element of the fracture mechanics for calculation the width of cracks opening in reinforced concrete structuresâ€, Bulletin of Civil Engineers, Vol. 4, No.21, (2009), pp. 160â€“163.
 Klueva NV, Kolchunov VI, Iakovenko IA, â€œThe problem tasks of the fracture mechanics hypotheses development applied to the calculation of reinforced concrete structuresâ€, Kazan State University of Architecture and Engineering news, Vol. 3, No. 29, (2014), pp. 41â€“45.
 Kolchunov VI & Iakovenko IA, â€œOn the account of the disruption of continuity effect in reinforced concrete during the reconstruction of textile industry enterprisesâ€, Proceedings of high schools. Technology of textile industry. Vol. 3, No 363, (2016), pp. 258â€“263.
 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: 29â€“50.
 Sih GC, â€œSome basic problems in fracture mechanics and new conceptsâ€, Engineering Fracture Mechanics, Vol. 5, (1973), pp. 365â€“377.
 Hillerborg A, Modeer M & Petersson PE. â€œAnalysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elementsâ€, Cement and Concrete Research, Vol. 6, (1976), pp. 773â€“782.
 BaÅ¾ant ZP & Oh BH â€œConcrete fracture via stress-strain relationsâ€, Center for Concrete and Geomaterials, Northwestern University, (1981), Report 81â€“10/665.
 Iakovenko I, Kolchunov Vl. â€œThe development of fracture mechanics hypotheses applicable to the calculation of reinforced concrete structures for the second group of limit statesâ€, Journal of Applied Engineering Science, Vol. 15(2017)3, article 455, (2017), pp. 366â€“375, doi:10.5937/jaes15-14662.
 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: 113â€“249.
 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 Â«Reliability and Durability of Railway Transport Engineering Structures and BuildingsÂ». Transbud-2017. Kharkiv, Ukraine, April 19â€“21, Vol. 0216, (2017), 12 p.
 Bidgosyan GK, â€œThe main results of experimental studies of the stretched concrete resistance between the cracks of composite non-eccentrically compressed reinforced concrete structuresâ€, Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, Vol. 5, No. 70, (2011), pp. 124â€“127.
 Iakovenko IA, â€œAnalysis of the results of experimental studies of the crack opening width of composite non-eccentrically compressed reinforced concrete structuresâ€, Building of Ukraine, Vol. 6, (2009), pp: 20â€“23.
 Kolchunov VI, Iakovenko IA, Usenko NV, Prijmak AO, â€œMethodology of experimental studies of reinforced concrete composite structures on inclined sectionsâ€, Building Constructions, Vol. 78, Book 1, (2013), pp: 422â€“433.
 Kolchunov VI, Iakovenko IA, Dmitrenko EA, â€œThe 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 deformationâ€, Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, Vol. 5, No. 100, (2016), pp. 115â€“124.
 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
 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
 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
 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
 Babich, V. I., & Kochkarev, D. V. (2004). Calculation of elements of reinforced-concrete by deformation method. Beton i Zhelezobeton, (2), 12-17.
View Full Article:
How to Cite
LicenseAuthors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under aÂ Creative Commons Attribution Licensethat allows others to share the work with an acknowledgement of the work''s authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal''s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (SeeÂ The Effect of Open Access).