Skip to main content

On Clarification of the Application Area of the Concrete Plasticity Theory to the Strength Problems Solutions

  • Conference paper
  • First Online:
Proceedings of the 2nd International Conference on Building Innovations (ICBI 2019)

Abstract

To substantiate plasticity theory application to the strength problems solution of structural concrete, concrete plates under different load schemes, truncated wedges over a dangerous inclined crack, as well as Gvozdev samples as a basis for defining shear resistance, have been studied. The virtual velocities principle has been applied. Concrete is regarded as a rigid-plastic body. Plastic  strain is considered to be localized in thin layers on the elements failure surface. The function of the virtual velocities principle is dealt at stationary state. The failure kinematic schemes and the calculated dependencies for the specified samples strength evaluation have been given. The ultimate estimation of the upper load is used. The stresses are defined at the characteristic points of the concrete strength condition, which is considered as plastic potential. The stress levels at the boundary of the shear and breaking-off failure forms have been obtained. The concrete plasticity measure is established as the ratio of the compressed zone height in the normal section in the failure stage to its height in the initial stage. Taking into account the plasticity measure, the stresses on the failure surface compressed area have been determined. The interval of the stress states in the tension-compression area is narrowed compared to the interval for plastic materials. The established boundary between the shear and the breaking off is confirmed experimentally. The plasticity theory application area for the strength problems solution is specified.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Eliseyev, V. V. (2006). Mechanics of deformable solids (Mekhanika deformiruyemogo tverdogo tela). Sankt-Peterburg: SPb.

    Google Scholar 

  2. Okopnyy, Y. A., Radin, V. P., & Chirkov V. P. (2001). Materials and structures mechanics (Mekhanika materialov i konstruktsiy). Moscow.

    Google Scholar 

  3. Zaytsev, Yu V. (1982). Modeling of deformations and concrete strength by methods of fracture mechanics (Modelirovaniye deformatsiy i prochnosti betona metodami mekhaniki razrusheniy). Moscow: Stroyizdat.

    Google Scholar 

  4. Geniyev, G. A., Kissyuk, V. N., & Tyupin, G. A. (1974). Concrete and reinforced concrete plasticity theory (Teoriya plastichnosti betona i zhelezobetona). Moscow.

    Google Scholar 

  5. Kolmogorov, V. L. (1986). Metal forming mechanics (Mekhanika obrabotki metallov davleniyem). Moscow.

    Google Scholar 

  6. Mineola, L. J. (2008). Plasticity theory. NY: Dover.

    Google Scholar 

  7. Nielsen, M. P., & Hoang L. C. (2011). Limit analysis and concrete plasticity (3rd ed.). Boca Raton: CRC Press, Taylor & Francis Group.

    Google Scholar 

  8. Ivlev, D. D. (2001). Mechanics of plastic media. T. 1. Theory of ideal plasticity (Mekhanika plasticheskih sred. T. 1. Teoriya ideal’noj plastichnosti).  Moscow: Fizmatlit.

    Google Scholar 

  9. Ebobisse, F., & Reddy, B. D. (2004). Some mathematical problems in perfect plasticity. Computer Methods Applications Mechanical Engineering, 193, 5071–5094.

    Article  MathSciNet  Google Scholar 

  10. Mitrofanov, V. P. (2006). The theory of perfect plasticity as the elementary mechanic pseudo-plastic ultimate state of concrete: Bases, imitations, practical aspects, Proceedings of the 2nd Fibre Congress (pp. 7–6). Naples.

    Google Scholar 

  11. Sorensen, J. H., Hoang, L. C., Olesen, J. F., & Fischer, G. (2017). Test and analysis of a new ductile shear connection design for RC shear walls. Structural Concrete, 18, 189–204.

    Article  Google Scholar 

  12. Jorgensen, H. B, & Hoang, L. C. (2015). Load carrying capacity of keyed joints reinforced with high strength wire rope loops. In Proceedings of Fibre symposium: Concrete—Innovation and Design (13 p). Copenhagen.

    Google Scholar 

  13. Pedersen, R. H., & Herlev, М. E.: (2015). Shear capacity of construction-friendly element joints (Bachelor thesis). Department of Civil Engineering. Denmark.

    Google Scholar 

  14. Svejgaard, J. (2015). Test and analysis of keyed shear joints between precast concrete walls—Influence of indent area on the load bearing capacity (Master’s thesis). Department of Civil Engineering. Denmark.

    Google Scholar 

  15. Pohribnyi, V., Dovzhenko, O., Karabash, L., & Usenko, I. (2017). The design of concrete elements strength under local compression based on the variational method in the plasticity theory. In MATEC Web of Conferences (116).

    Google Scholar 

  16. Dovzhenko, O., Pohribnyi, V., Pents, V., & Мariukha, D. (2018). Bearing capacity calculation of reinforced concrete corbels under the shear action. In MATEC Web Conferences (230).

    Google Scholar 

  17. Dovzhenko, O. O., Pohribnyi, V. V., & Yurko, I. A. (2018). Concrete and reinforced concrete strength under action of shear, crushing and punching shear. In IOP Conference Series: Materials Science and Engineering (Vol. 463 (1)).

    Google Scholar 

  18. Pohribnyi, V., Dovzhenko, O., Kuznietsova, I., & Usenko, D. (2018). The improved technique for calculating the concrete elements strength under local compression.  In MATEC Web Conferences (230).

    Google Scholar 

  19. Dovzhenko, O., Pogrebnyi, V., & Yurko, I. (2018). Shear failure form realization in concrete, news NAS RK. Series of Geology and Technical Science, 2(428), 212–219.

    Google Scholar 

  20. Dovzhenko, O., Pohribnyi, V., & Karabash, L. (2018). Experimental study on the multikeyed joints of concrete and reinforced concrete elements. International  Journal  of Engineering & Technology, 7(3.2), 354–359.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. O. Dovzhenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dovzhenko, O.O., Pohribnyi, V.V., Pents, V.F., Pents, M.V. (2020). On Clarification of the Application Area of the Concrete Plasticity Theory to the Strength Problems Solutions. In: Onyshchenko, V., Mammadova, G., Sivitska, S., Gasimov, A. (eds) Proceedings of the 2nd International Conference on Building Innovations. ICBI 2019. Lecture Notes in Civil Engineering, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-030-42939-3_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-42939-3_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-42938-6

  • Online ISBN: 978-3-030-42939-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics