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Features of Modeling of Reinforced Concrete Structures in Calculations by the Finite Element Method

Received: 9 October 2021    Accepted: 25 November 2021    Published: 18 March 2022
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Abstract

Finite elements and solution methods of nonlinear equations in combination with high-performance computing technology make it possible to perform analysis of large and complex systems taking into account nonlinear deformation of the material. However, the applicable standard methods of calculation are presented on the cross-section of the element. To fill this gap, the authors propose a method of modeling of concrete finite element, based on existing norms and state standards. The authors propose to take into account the destruction of elements in the treatment process. In this case, the nodal reaction of destroyed elements are applied as external load. Modeling of damage to concrete cube press. A comparison of different theories of strength for the calculation of the equivalent stress. As a skeletal chart selected state diagram with explicit separation of plastic and elastic deformations. Diagrams of deformation of the cross section of the cube in the process of loading the Deformation model. Identified areas of damage to concrete cube when reaching the ultimate strain. Defined theory of strength and the model that best reflects actual stress - deformation of concrete during the treatment process. The proposed method can be applied for numerical analysis of reinforced concrete structures by finite element method.

Published in Journal of Civil, Construction and Environmental Engineering (Volume 7, Issue 2)
DOI 10.11648/j.jccee.20220702.11
Page(s) 14-17
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Concrete, Strength Theory, Finite Element Method, Equivalent Stress, Energy, Deformation, The Physical Nonlinearity

References
[1] Harlanov V. L., Harlanova S. V. Chislennyi metod integrirovania nelineinsh differencialnykh uravnenii zadach stroitelnoi mekhaniki // Stroit. mekhanika i raschet soorujenii, 2016, # 1 — S. 62-65.
[2] Bondarenko V. М. Nekotorye voprosy nelineinoi teorii zelezobetona. Kharkov: Izd-vo Kharkovskogo un-ta, 1968. – 323 s.
[3] Vasiliev P. I. Voprosy razvitia teorii zelezobetona // Beton I jlezobeton 1980-# 4 – S. 26-27.
[4] Fraifeld S. Е., Palchinski О. V. Prakticheski metod rascheta jelezobetonnyh konstrukci s uchetom reologicheskih svoistv materialov. Sb. «Stroitelnye konstrukcii». vyp. 3. Kharkov. Knijn. izd-vо, 1959.
[5] Burzyński, W. Über die Anstrengungshypothesen. Schweizerische Bauzeitung, 94 (21), pp. 259-262.
[6] Yagn, Yu. I. New methods of strength prediction (in Russ.: Novye metody pascheta na prochnost'). Vestnik inzhenerov i tekhnikov, 6, pp. 237-244.
[7] Drucker D. C. On uniqueness in the theory of plasticity // Quart. Appl. Math. 1956. № 14. P. 35—42.
[8] von Mises, R. (1913). Mechanik der festen Körper im plastisch deformablen Zustand. Göttin. Nachr. Math. Phys., vol. 1, pp. 582–592.
[9] Balandin P. P. К voprosu o gipotezah prochnosti. Vestnik inzhenerov i tekhnikov. 1937, № 1.
[10] Drucker, D. C. and Prager, W. (1952). Soil mechanics and plastic analysis for limit design. Quarterly of Applied Mathematics, vol. 10, no. 2, pp. 157–165.
[11] GOST 10180-2012. Betony. Меtody оpredelenia prochnоsti pо kоntrolnym оbrazcam. М.: Standartinform, 2013. s –30.
[12] SP 63.13330.2012. Betonnye i jelezobetonnye konstrukcii. Оsnovnye polojenia / Aktualizirovannaia redakcia SNiP 52-01-2003. – М.: FAU «FPC», 2012. –155 s.
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  • APA Style

    Harlanov Vladimir, Harlanova Svetlana. (2022). Features of Modeling of Reinforced Concrete Structures in Calculations by the Finite Element Method. Journal of Civil, Construction and Environmental Engineering, 7(2), 14-17. https://doi.org/10.11648/j.jccee.20220702.11

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    ACS Style

    Harlanov Vladimir; Harlanova Svetlana. Features of Modeling of Reinforced Concrete Structures in Calculations by the Finite Element Method. J. Civ. Constr. Environ. Eng. 2022, 7(2), 14-17. doi: 10.11648/j.jccee.20220702.11

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    AMA Style

    Harlanov Vladimir, Harlanova Svetlana. Features of Modeling of Reinforced Concrete Structures in Calculations by the Finite Element Method. J Civ Constr Environ Eng. 2022;7(2):14-17. doi: 10.11648/j.jccee.20220702.11

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  • @article{10.11648/j.jccee.20220702.11,
      author = {Harlanov Vladimir and Harlanova Svetlana},
      title = {Features of Modeling of Reinforced Concrete Structures in Calculations by the Finite Element Method},
      journal = {Journal of Civil, Construction and Environmental Engineering},
      volume = {7},
      number = {2},
      pages = {14-17},
      doi = {10.11648/j.jccee.20220702.11},
      url = {https://doi.org/10.11648/j.jccee.20220702.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jccee.20220702.11},
      abstract = {Finite elements and solution methods of nonlinear equations in combination with high-performance computing technology make it possible to perform analysis of large and complex systems taking into account nonlinear deformation of the material. However, the applicable standard methods of calculation are presented on the cross-section of the element. To fill this gap, the authors propose a method of modeling of concrete finite element, based on existing norms and state standards. The authors propose to take into account the destruction of elements in the treatment process. In this case, the nodal reaction of destroyed elements are applied as external load. Modeling of damage to concrete cube press. A comparison of different theories of strength for the calculation of the equivalent stress. As a skeletal chart selected state diagram with explicit separation of plastic and elastic deformations. Diagrams of deformation of the cross section of the cube in the process of loading the Deformation model. Identified areas of damage to concrete cube when reaching the ultimate strain. Defined theory of strength and the model that best reflects actual stress - deformation of concrete during the treatment process. The proposed method can be applied for numerical analysis of reinforced concrete structures by finite element method.},
     year = {2022}
    }
    

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    T1  - Features of Modeling of Reinforced Concrete Structures in Calculations by the Finite Element Method
    AU  - Harlanov Vladimir
    AU  - Harlanova Svetlana
    Y1  - 2022/03/18
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    N1  - https://doi.org/10.11648/j.jccee.20220702.11
    DO  - 10.11648/j.jccee.20220702.11
    T2  - Journal of Civil, Construction and Environmental Engineering
    JF  - Journal of Civil, Construction and Environmental Engineering
    JO  - Journal of Civil, Construction and Environmental Engineering
    SP  - 14
    EP  - 17
    PB  - Science Publishing Group
    SN  - 2637-3890
    UR  - https://doi.org/10.11648/j.jccee.20220702.11
    AB  - Finite elements and solution methods of nonlinear equations in combination with high-performance computing technology make it possible to perform analysis of large and complex systems taking into account nonlinear deformation of the material. However, the applicable standard methods of calculation are presented on the cross-section of the element. To fill this gap, the authors propose a method of modeling of concrete finite element, based on existing norms and state standards. The authors propose to take into account the destruction of elements in the treatment process. In this case, the nodal reaction of destroyed elements are applied as external load. Modeling of damage to concrete cube press. A comparison of different theories of strength for the calculation of the equivalent stress. As a skeletal chart selected state diagram with explicit separation of plastic and elastic deformations. Diagrams of deformation of the cross section of the cube in the process of loading the Deformation model. Identified areas of damage to concrete cube when reaching the ultimate strain. Defined theory of strength and the model that best reflects actual stress - deformation of concrete during the treatment process. The proposed method can be applied for numerical analysis of reinforced concrete structures by finite element method.
    VL  - 7
    IS  - 2
    ER  - 

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Author Information
  • Institute of Architecture and Construction, Volgograd State Technical University, Volgogad, Russian Federation

  • Institute of Architecture and Construction, Volgograd State Technical University, Volgogad, Russian Federation

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