A Set of Finite Elements for 2D Analysis of Reinforced Concrete Foundations on Deformable Subsoil
More details
Hide details
Instytut Budownictwa, Uniwersystet Zielonogórski, Poland
Submission date: 2024-01-18
Final revision date: 2024-04-23
Acceptance date: 2024-05-20
Online publication date: 2024-05-29
Publication date: 2024-05-29
Corresponding author
Waldemar Szajna   

Instytut Budownictwa, Uniwersystet Zielonogórski, Poland
Civil and Environmental Engineering Reports 2024;34(2):100-116
The paper presents a formulation and verification of a 2D soil – structure interaction model which enables the analysis of reinforced concrete shallow foundations under monotonic short-time loads. The structure supported by a deformable subsoil, whose elasto-plastic features are being considered. The structure model describes: the ability of crack creation, non-linear stress – strain characteristics of concrete and reinforcement and also reinforcement – concrete interaction. The foundation – subsoil contact model enables the identification of slide and adhesion zones. The presented mathematical formulation allowed for the development of a set of finite elements simulating the behaviour of the foundation, the subsoil and the contact zone between them. The elasto-plastic approach was used to describe the behaviour of the structure, the subsoil and the contact phenomena. Computer programs were prepared and verifying analyses were presented.
Look, BG 2007. Handbook of geotechnical investigation and design tables. London: Taylor & Francis.
Hofstetter, G and Mang, HA 1995. Computation mechanics of reinforced concrete structures. Wiesbaden: F. Vieweg & Sohn Verlagsgesellschaft mbH.
Tejchman, J and Bobiński, J 2013. Continuous and discontinuous modelling of fracture in concrete using FEM. Heidelberg: Springer.
Chen, WF and Mizuno, E 1990. Nonlinear analysis in soil mechanics: Theory and implementation. Amsterdam: Elsevier.
Yu, HS 2006. Plasticity and geotechnics. Berlin: Springer.
Puzrin, AM 2012. Constitutive modelling in geomechanics. Introduction. Berlin: Springer.
Meschke, G, Pichler, B and Rots, JG 2022. Computational modelling of concrete and concrete structures. Boca Raton: CRC Press/Balkema.
Michałowski, R and Mróz, Z 1978. Associated and non-associated sliding rules in contact friction problems. Archves of Mechanics 30, 3, 259-276.
Potts, DM and Zdravković, L 2001. Finite element analysis in geotechnical engineering: Applications, London: Thomas Telford.
Sheng, D, Wriggers, P and Sloan, SW 2007. Application of frictional contact in geotechnical engineering. Int. J. of Geomechanics 7, 3, 176-185.
Dhadse, GD, Ramtekkar, G and Bhatt, G 2022. Influence due to interface in finite element modeling of soil-structure interaction system: a study considering modified interface element. Research on Engineering Structures & Materials 8 1, 127-154.
Goodman, RE, Taylor, RL and Brekke, TL 1968. A model for the mechanics of jointed rock. Journal of the Soil Mechanics and Foundations Division 94, 3, 637-659.
Desai, CS, Zaman, MM, Lighter, JG and Siriwardane, HJ 1984. Thin-layer element for interfaces and joints. Int. J. Num. Anal. Meth. Geomech. 8, 1, 19-43.
Qian, XX, Yuan, HN, Li, QM and Zhang BY 2013. Comparative study on interface elements, thin-layer elements, and contact analysis methods in the analysis of high concrete-faced rockfill dams. Journal of Applied Mathematics 2013, 1-11.
Damians, IP, Yu, Y, Lloret, A and Bathurst, RJ 2015. Equivalent interface properties to model soil-facing interactions with zero-thickness and continuum element methodologies. From Fundamentals to Applications in Geotechnics, 1065-1072.
Dalili, SM, Huat, BBK, Jaafar, MS and Alkarni, A 2015. Soil – framed structure interaction analysis – a new interface element. Latin American J. of Solids Struct 12, 2, 226-249.
Li, Y-K, Han, X-L, Ji, J, Fu, D-L, Qiu, Y-K, Dai, B-C and Lin, C 2015. Behavior of interfaces between granular soil and structure: A state-of-the-art review. The Open Civil Engineering Journal 9, 213-223.
Dhadse, GD, Ramtekkar, G and Bhatt, G 2021. Finite element modeling of soil structure interaction system with interface: a review. Archives of Computational Methods in Engineering 28, 5, 3415-3432.
Belhadj, FZ, Belhadj, AF and Chabaat, M. 2022. Soil‑structure interaction interfaces: literature review. Arabian Journal of Geosciences 15, 1130.
Chen, X, Zhang, J, Xiao, Y and Li, J 2015. Effect of roughness on shear behavior of red clay – concrete interface in large-scale direct shear tests. Can. Geotech. J. 52, 1122-1135.
Zhang, G, Liang, D and Zhang, JM 2006. Image analysis measurement of soil particle movement during a soil–structure interface test. Computers and Geotechnics, 33, 4-5, 248-59.
Zhang, G and Zhang, J 2009. State of the art: Mechanical behavior of soil – structure interface. Progress in Natural Science 19, 1187-1196.
Hu, L and Pu, J 2004. Testing and modeling of soil-structure interface. J. Geotech. Geoenviron. Eng. 130, 8, 851-860.
DeJong, JT and Westgate, ZJ 2009. Role of initial state, material properties, and confinement condition on local and global soil – structure interface behavior. J. Geotech. Geoenviron. Eng. 135, 11, 1646-1660.
Dang, HK and Meguid, MA 2013. An efficient finite–discrete element method for quasi-static nonlinear soil–structure interaction problems. Int. J. Numer. Anal. Meth. Geomech. 37, 130-149.
Carbonell, JM, Monforte, L, Ciantia, LM, Arroyo, M and Gens, A 2022. Geotechnical particle finite element method for modeling of soil – structure interaction under large deformation conditions. Journal of Rock Mechanics and Geotechnical Engineering 14, 967-983.
Koiter, WT 1960. General theorem for elastic-plastic solids. In: Snedon, IN and Hill, R (eds) Progress in solid mechanics. Amsterdam: North Holland, 1, 165-221.
Owen, DR and Figueiras, JA 1984. Ultimate load analysis of reinforced concrete plates and shells including geometric nonlinear effects. In: Hinton, E and Owen, DR (eds) Finite element software for plates and shells. Swansea: Prineridge Press, 327-382.
Karihaloo, BL 1995. Fracture mechanics and structural concrete. Harlow: Longman Scientific & Technical.
Zienkiewicz, OC and Taylor, RL 1991. The finite element method. Vol. 2 Solid and fluid mechanics, dynamics and non-linearity. London: McGrow-Hill, 4th ed.
Hohberg, J-M 1990. A note on spurious oscilations in FEM joint elements, Eartquake Engng. Stuct. Dyn. 19, 773-779.
Monnier, T 1970. The behavior of continuous beams in reinforced concrete, Heron 17, 1, 1-83.
Zong-Ze, Y, Hong, Z and Gua-Hua, X 1995. A study of deformation in the interface between soil and concrete. Comp. & Geotech. 17, 75-92.
Bergan, PG 1984. Some aspects of interpolation and integration in nonlinear finite element analysis of reinforced concrete structures, In: Damjanić, F et al. (eds) Computer-Aided Analysis and Design of Concrete Structures. Swansea: Pineridge Press, 301-316.
Sloan, SW and Randolph, MF 1982. Numerical prediction of collapse loads using finite element method, Int. J. Num. Anal. Meth. Geomech. 6, 47-76.
Journals System - logo
Scroll to top