Issue 39

J. Labudkova et alii, Frattura ed Integrità Strutturale, 39 (2017) 47-55; DOI: 10.3221/IGF-ESIS.39.06 55 C ONCLUSION he parametric study monitored and graphically evaluated the influence of individual parameters of the 3D numerical model of the interaction of fibre-concrete foundation slab and subsoil, in connection with vertical deformation. All the charts clearly show that the inhomogeneous continuum model generates smaller vertical deformations than the homogeneous continuum model. This is due to increase of the deformability modulus with depth. The chart also shows that compared to the model of homogeneous continuum model, the inhomogeneous continuum model is not as heavily dependent on the chosen geometric parameters of the subsoil model. The difference between the smallest and the largest resulting vertical deformation in the centre of the slab in the homogeneous subsoil model is 1.8 mm, while in the inhomogeneous subsoil model the difference between the minimum and maximum vertical deformation is only 0.5 mm. This is nearly four times less variance of values of geometrically identical models differing only in homogeneity or inhomogeneity of subsoil. From this it can be concluded that an inhomogeneous continuum provides more stable results that are less affected by the choice of the geometry and dimensions of the area representing the subsoil. During the experiment, the deformation measured in the centre of the slab was 2.83 mm. All the resulting deformations for the inhomogeneous half-space do not differ from the actual deformation by more than by 28 %, while the resulting deformations for the homogeneous half-space can differ even by 66 %. A CKNOWLEDGMENTS he work necessary for creating this article was supported by the Student Grant Competition of VŠB-Technical University of Ostrava. The project registration number is SP2016/140. R EFERENCES [1] Aboutalebi, M., Alani, A., Rizzuto, J. Beckett, D., Structural behaviour and deformation patterns in loaded plain concrete ground-supported slabs, Structural Concrete, 15 (2014) 81-93. [2] Alani, A., Aboutalebi, M., Analysis of the subgrade stiffness effect on the behaviour of ground-supported concrete slabs, Structural Concrete, 2 (2012) 102-108, DOI: 10.1002/suco.201100043. [3] Alani, A., Beckett, D., Khosrowshahi, F., Mechanical behaviour of a steel fibre reinforced concrete ground slab, Magazine of Concrete Research, 64 (2012) 593-604, DOI: 10.1680/macr.11.00077. [4] Cajka, R., Krivy, V., Sekanina, D., Design and Development of a Testing Device for Experimental Measurements of Foundation Slabs on the Subsoil. Transactions of the VSB - Technical University of Ostrava, Construction Series, XI (1) (2011) 1–5. [5] Fabrikant, V. I. Sankar, T.S., On contact problems in an inhomogeneous half-space, International Journal of Solids and Structures, 20 (1984) 159–166. [6] Feda, J., Surface model of foundation soil from the aspect of geomechanics, Inženýrské stavby, 9 (1989) 43-430. [7] Feda, J., Tenseness of subsoil and calculation methods for calculation of final subsidence, ACADEMIA, (1974) 152. [8] Havlíček, J., Subsidence of foundations of shallow foundation structures. Inženýrské stavby, 7 (1982) 34-340. [9] Huang, X. Liang, X. Liang, M. Deng, M. Zhu, A. Xu, Y. Wang, X. Li, Y., Experimental and theoretical studies on interaction of beam and slab for cast-in-situ reinforced concrete floor structure, Journal of Building Structures / Jianzhu Jiegou Xuebao, 34 (2013) 63-71. [10] Chen, S., Strength of steel fibre reinforced concrete ground slabs, Proceedings of the Institution of Civil Engineers: Structures and Buildings, 157 (2004) 157-163. [11] Labudkova, J., Cajka, R., Comparison of experimentally measured deformation of the plate on the subsoil and the results of 3D numerical model, Transactions of the VŠB - Technical University of Ostrava, Civil Engineering Series, XIV(1) (2014), DOI: 10.2478/tvsb-2014-0008. [12] Zhou, K., Chen, W. W., Keer, L. M., Ai, X., Sawamiphakdi, K., Glaws, P., Wang, Q. J., Multiple 3D inhomogeneous inclusions in a half space under contact loading, Mechanics of Materials, 43 (2011) 444–457. [13] ČSN EN 1997 – 1, Eurocode 7, Design of geotechnical structures – Part 1: General rules, ČNI 10/2006, (2006). T T