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Summary of Elastic Foundation Model and Comparison of Calculation Theory

摘要


The establishment of elastic foundation model and its solution are very important engineering topics. The commonly used elastic foundation models and corresponding solution methods are summarized by literature summary method, so as to facilitate the practical application of engineering reference. The results show that the elastic foundation model mainly includes Winkler foundation model, two parameter foundation model, three parameter foundation model, elastic half space foundation model, finite compression layer foundation model and layered transverse isotropic elastic half space model. Winkler foundation model, two parameter foundation model, three parameter foundation model and elastic half space foundation model are simple, but they are not consistent with the stratification characteristics of actual soil, and it is difficult to determine the model parameters. The finite compression layer foundation model and the layered transversely isotropic elastic half space model can consider the layered characteristics of soil, and the finite compression layer foundation model is simpler than the layered transversely isotropic elastic half space model, and has a greater engineering application prospect. The solution methods of elastic foundation model mainly include link method, initial parameter method, power series approximation method, finite difference method and finite element method. Among them, link method, power series approximation method, finite difference method and finite element method can solve different foundation models and load situations, which has great engineering application prospects.

參考文獻


D.J. Geng, N. Dai, P.J Guo, et al: Implicit numerical integration of highly nonlinear plasticity models, Computers and Geotechnics, Vol. 132 (2021) No. 2, p. 1-10.
M.M. Filonenko-Borodich: Some approximate theories of elastic foundation(Ph.D., Uchenyie Zapiski Moskovkogo Gosudarstuennogo Universiteta Mekhanika, Moscow 1940), p. 3-18.
M.Hetenyi: Beams on elastic foundations(The University of Michigan Press, America 1946), p.33-46.
P.L. Pasternak: On a new method of analysis of an elastic foundation by means of two foundation constants(National Engineering and Construction Press, Moscow 1942), p.18-39.
G.J.M. King: An Introduction to Super Structure-Raft–Soil Interaction. Int.Sym.on soil-Structure Interaction (Roorkee,India, November 15-20, 1977). Vol. 1, p.101-130.

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