Abstract
The objective of this paper is to present formulations developed for soil-building interaction analysis, including foundations. The soil is modeled with the boundary element method (BEM) as a layered solid which may be finite for the vertical direction, but is always infinite for radial directions. Infinite boundary elements are employed for the far field simulation, allowing computational cost reduction without compromising the result accuracy. Beams, columns and piles are modeled with the finite element method (FEM) using one dimensional elements. Slabs and rafts are also modeled with the FEM, but with two dimensional elements. The analysis is static and all materials are considered homogeneous, isotropic, elastic and with linear behavior.
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References
Ai, Z.Y., Cheng, Y.C.: Analysis of vertically loaded piles in multi-layered transversely isotropic soils by BEM. Eng. Anal. Bound Elem. 37, 327–335 (2013)
Basu, D., Prezzi, M., Salgado, R., Chakraborty, T.: Settlement analysis of piles with rectangular cross sections in multi-layered soils. Comput. Geotech. 35, 563–575 (2008)
Batoz, J.L.: A study of tree-node triangular plate bending elements. Int. J. Numer. Methods Eng. 15, 1771–1812 (1980)
Bergan, P.G., Felippa, C.A.: A triangular membrane element with rotacional degrees of freedom. Comput. Methods Appl. Mech. Eng. 50, 25–69 (1985)
Bourgeois, E., de Buhan, P., Hassen, G.: Settlement analysis of piled-raft foundations by means of a multiphase model accounting for soil-pile interactions. Comput. Geotech. 46, 26–38 (2012)
Clouteau, D., Cottereau, R., Lombaert, G.: Dynamics of structures coupled with elastic media – a review of numerical models and methods. J. Sound Vib. 332, 2415–2436 (2013)
Elahi, H., Moradi, M., Poulos, H.G., Ghalandarzadeh, A.: Pseudostatic approach for seismic analysis of pile group. Comput. Geotech. 37, 25–39 (2010)
Fraser, R.A., Wardle, L.J.: Numerical analysis of rectangular rafts on layered foundations. Geotechnique 26, 613–630 (1976)
Georgiadis, K., Georgiadis, M., Anagnostopoulos, C.: Lateral bearing capacity of rigid piles near clay slopes. Soils Found. 53, 144–154 (2013)
Guiggiani, M., Gigante, A.: A general algorithm for multidimensional cauchy principal value integrals in the boundary element method. J. Appl. Mech. 57, 906–915 (1990)
Moser, W., Duenser, C., Beer, G.: Mapped infinite elements for three-dimensional multi-region boundary element analysis. Int. J. Numer. Methods Eng. 61, 317–328 (2004)
Padron, L.A., Aznarez, J.J., Maeso, O.: 3-D boundary element-finite element method for the dynamic analysis of piled buildings. Eng. Anal. Bound. Elem. 35, 465–477 (2011)
Ribeiro, D.B., Paiva, J.B.: An alternative multi-region BEM technique for three-dimensional elastic problems. Eng. Anal. Bound. Elem. 33, 499–507 (2009)
Ribeiro, D.B., Paiva, J.B.: Analyzing static three-dimensional elastic domains with a new infinite boundary element formulation. Eng. Anal. Bound. Elem. 34, 707–713 (2010)
Ribeiro, D.B., Paiva, J.B.: Mixed FEM-BEM formulations applied to soil-structure interaction problems. In: Proceedings of the World Congress on Engineering 2014 (WCE 2014), London, 2–4 July 2014. Lecture Notes in Engineering and Computer Science, pp. 1178–1183 (2014)
Su, D., Li, J.H.: Three-dimensional finite element study of a single pile response to multidirectional lateral loadings incorporating the simplified state-dependent dilatancy model. Comput. Geotech. 50, 129–142 (2013)
Wang, Y.H., Tham, L.G., Tsui, Y., Yue, Z.Q.: Plate on layered foundation analyzed by a semi-analytical and semi-numerical method. Comput. Geotech. 30, 409–418 (2003)
Wardle, L.J., Fraser, R.A.: Finite element analysis of a plate on a layered cross-anisotropic foundation. In: Proceedings of the First International Conference of Finite Element Methods in Engineering, University of New South Wales, pp. 565–578 (1974)
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Thanks are due to the research council FAPESP, the University of São Paulo and the Federal Institute of São Paulo.
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Ribeiro, D.B., de Paiva, J.B. (2015). Study of Soil-Structure Interaction Problems Using Mixed FEM-BEM Formulations. In: Yang, GC., Ao, SI., Gelman, L. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9804-4_2
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DOI: https://doi.org/10.1007/978-94-017-9804-4_2
Publisher Name: Springer, Dordrecht
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