Mathematical modeling of the operation of plate elements when working together with a soil base in conditions of flat deformation

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Assessment of the forces arising in the structures of underground parts of structures, such as piles, foundation slabs and walls, as well as in the structures of the pit fence made of metal sheet piling and using the “wall in the ground” technology is a normative mandatory check for the first group of limit conditions. The work of such structures should be evaluated in conjunction with the soil base, the characteristics of which directly affect the final effort. The article provides a detailed mathematical description of the implementation of a three-node finite element describing a beam (plate in the conditions of a flat problem). At the end, a comparison of the calculation results of the test tasks with another computing software package is provided. High convergence of the results was noted. The results obtained can be used in the development of proprietary finite elements or as alternative calculation methods within the framework of scientific and technical support.

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Sobre autores

R. Mangushev

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Autor responsável pela correspondência
Email: ramangushev@yandex.ru

Doctor of Sciences (Engineering)

Rússia, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

I. Dyakonov

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: idjkanv@yandex.ru

Candidate of Sciences (Engineering)

Rússia, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

V. Polunin

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: n1ce2u@yandex.ru

Candidate of Sciences (Engineering)

Rússia, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

I. Bashmakov

Saint-Petersburg State University of Architecture and Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: 179bib@gmail.com

Postgraduate Student

Rússia, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005; 21, Lokomotivniy Driveway, Moscow, 127238

D. Paskacheva

Saint-Petersburg State University of Architecture and Civil Engineering

Email: dashap17012000@yandex.ru

Postgraduate Student

Rússia, 4, 2nd Krasnoarmeyskaya Street, Saint Petersburg 190005

Bibliografia

  1. Sapin D.A. Taking into account the rigidity of diaphragm wall structures for the settlement of adjacent buildings. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2015. No. 4, pp. 8–13. (In Russian). EDN: TRKJSL
  2. Mangushev R.A., Denisova O.O. The effect of the technological impact of the manufacture of a horizontal diaphragm by jet-grouting on the enclosure of a pit of the “wall in the ground” type. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2022. No. 9, pp. 25–31. (In Russian). EDN: ILWSOQ. https:// doi.org/10.31659/0044-4472-2022-9-25-31
  3. Mangushev R.A., et al. Mathematical modeling of undrained behavior of soils. International Journal for Computational Civil and Structural Engineering. 2023. Vol. 19. No. 1, pp. 97–111. https:// doi.org/10.22337/2587-9618-2023-19-1-97-111
  4. Mangushev R.A., Voznesenskaya E.S., Denisova O.O Factors of influence of deep jet-grouting diaphragm on surrounding buildings. Promyshlennoye i grazhdanskoye stroitel’stvo. 2023. No. 11, pp. 77–85. (In Russian). EDN: BWCGYU. https:// doi.org/10.33622/0869-7019.2023.11.77-85
  5. Meleshko V.A., Golykh O.V., Kondrat’yeva L.N. Features of forms of the finite element method in elastic-plastic calculation of rod systems. Vestnik grazhdanskikh inzhenerov. 2023. Vol. 100. No. 5, pp. 46–51. (In Russian). EDN: WLQAVL
  6. Klovanich S.F. Metod konechnykh elementov v nelineynykh zadachakh inzhenernoy mekhaniki. [Finite element method in nonlinear problems of engineering mechanics.] Zaporozh’ye: OOO “IPO «Zaporozh’ye», 2009. 400 p.
  7. Fadeev A.B. Metod konechnyh elementov v geomekhanike [Finite element method in geomechanics]. Moscow: Nedra. 1987. 359 p.
  8. Zenkevich O.K. Metod konechnykh elementov v tekhnike: Per. s angl. Metod konechnykh elementov v tekhnike. [Finite Element Method in Engineering: Translated from English]. Moskow: Mir. 1975. 541 p.
  9. Dawe D.J. Matrix and finite element displacement analysis of structures: The Oxford engineering science series. Oxford: Clarendon Press. 1984. 565 p.
  10. Augarde C.E. Generation of shape functions for straight beam elements. Computers & Structures. 1998. Vol. 68. No. 6, pp. 555–560.
  11. Lukashevich A.A., Lukashevich N.K., Kobelev E.A. Finite elements for problems of the elasticity theory with the discontinuous stress approximation. E3S Web of Conferences. 2020. Vol. 224. 02012. https://doi.org/10.1051/e3sconf/202022402012
  12. Lukashevich A.A., Kobelev E.A., Lukashevich N.K. Calculations of structures using finite element models in stresses. Contemporary Problems of Architecture and Construction. London: CRC Press. 2021, pp. 209–213.
  13. Lukashevich A.A., Lukashevich N.A. Osnovy nelineynoy stroitel’noy mekhaniki: uchebnoye posobiye [Fundamentals of nonlinear structural mechanics]. Saint Petersburg: Petropolis. 2021. 154 p.
  14. Lukashevich A. Modeling of contact interaction of crack banks based on finite element schemes. E3S Web of Conferences. 2024. Vol. 515. P. 01023. EDN: SFFVEW. https://doi.org/10.1051/e3sconf/202451501023
  15. Kolyukaev I.S. Solving the problem of slope stability by numerical method. Collection of articles by participants of the National (All-Russian) scientific and technical. Conference “Prospects of modern construction”. Saint. Petersburg: St. Petersburg State University of Architecture and Civil Engineering. 2023, pp. 65–79. EDN: YIDSIY.
  16. Karpov V.V., Bakusov P.A., Maslennikov A.M., Semenov A.A. Mathematical models of deformation of shell structures and algorithms for their study. Part I. Мodeli deformirovaniya obolochechnykh konstruktsiy. Izvestiya of Saratov University. Series: Mathematics. Mechanics. Computer Science. 2023. Vol. 23. No. 3, pp. 370–410. (In Russian). https:// doi.org/10.17377/sibjim.2017.20.106
  17. Karpov V.V., Semenov A.A. Mathematical models and algorithms for studying the strength and stability of shell structures. Sibirskiy zhurnal industrial’noy matematiki. 2017. Vol. 20. No. 1 (69), pp. 53–65. (In Russian). EDN: YLOZZF. https:// doi.org/10.17377/SIBJIM.2017.20.106
  18. Polunin V.M., Kolyukayev I.S., Gorkina M.R. Analytical and numerical methods for determining the stress-strain state of a soil massif for solving a planar problem. Smart Geotechnics for Smart Societies. 2023, pp. 1991–1998. https:// doi.org/10.1201/9781003299127-304
  19. Polunin V.M. Analytical and numerical methods for determining the stress state of a soil press when assessing large production. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2023. No. 9, pp. 27–40. (In Russian). https://doi.org/10.31659/0044-4472-2023-9-27-40

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2. Fig. 1. Basic triangle sixty-nodes finite element

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3. Fig. 2. Calculation scheme to assemble stiffness matrix

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4. Fig. 3. Scheme to calculate defining angle α

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5. Fig. 4. General view of testing schemes

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6. Fig. 5. General view of calculation schemes

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7. Fig. 6. Comparison of calculation results between developed algorithm and software Plaxis 2D

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