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Stochastic FEM analysis of strip foundation

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper affords a stochastic description of a random soil medium subjected to an external loading. The strip foundation on a soil layer in the 3-D and the 2-D strain states is analysed. It is assumed that the soil medium is statistically homogeneous and its mechanical behaviour governed by the linear elasticity theor y. It is also assumed that elastic parameters can be modelled as the multidimens ional random fields. Stochastic 2-D and 3-D finite element methods (SFEM), based on the Monte Carlo technique were used. The influence of elements supports atta ched along vertical planes on standard deviations of displacements and stresses is discussed. Local averages of random field of elastic parameters are introduce d. The convergence of applied in SFEM simulation algorithm was tested. The analy sis performed enables determination of the standard deviations of components of the stress tensor and the displacement vector for the 3-D state, based on the so lution for the 2-D plane strain state.
Rocznik
Strony
171--186
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
  • Institute of Hydro-Engineering, Polish Academy of Sciences, Koscierska 7, 80-953 Gdansk, Poland
autor
  • Technical University of Gdansk, Faculty of Civil Engineering, Narutowicza 11/12, 80-952 Gdansk, Poland
Bibliografia
  • [1] Baker R., Modelling Soil Variability as a Random Field, Mathematical Geology, Vol. 16, No. 5,1984, pp. 435-448
  • [2] Bielewicz E., Gorski J., Schmidt R., Walukiewicz H., Random Fields in the Limit Analysis of Elastic — Plastic Shell Structures, Int. J. Comp. & Struct. Vol.51, No. 3, 1994, pp. 267-275
  • [3] Bielewicz E., Gorski J., Skowronek M., Generation of Two-dimensional discrete random field, The 2-nd Conference “Random Problems in Structured Mechanics”, Gdansk 1985, pp. 23-30
  • [4] Bucher C. G., Shinozuka M., Structural Response Variability II, Jnl. of Engineering Mechanics. Vol. 114, No. 12,1988, pp. 2035-2054
  • [5] Deodatis G., Weighted Integral Method. I: Stochastic Stiffness Matrix, Journal of Engineering Mechanics. Vol. 117, No. 8.1990, pp. 1851-1864
  • [6] Eimer C., Stochastic Green Functions in Elasticity of Composites, Archives of Mechanics, No. 24,1972, pp. 811 -818
  • [7] Knabe W., Przewlocki J., Rozynski G., Spatial Averages for Linear Elements for Two- Parameter Random Field, Probabilistic Engineering Mechanics, Vol. 13, No. 3,1998, pp. 147-167
  • [8] Lawrence M. A., Basic Random Variables in Finite Element Analysis, Int. Jnl. for Numerical and Analytical Methods in Geomechanics, Vol. 24,1987, pp. 1849-1863
  • [9] Liu W. K., Mani A., Belytschko T., Finite Elements Methods in Probabilistic Mechanics, Probabilistic Engineering Mechanics, Vol. 2, No. 4,1987, pp. 201-213
  • [10] Mahadevan S., Haidar A. — Practical Random Field Discretization in Stochastic Finite Element Analysis. Jnl. of Engineering Mechanics, Vol. 115, No.5,1991, pp. 283-304
  • [11] Przewlocki J., Calle E., Planar Representation of Three-dimensional Problems, Studia Geotechnica et Mechanica, Vol. XVI, No. 3-4,1994, pp. 17-28
  • [12] Przewlocki J., Deformation due to Gravity in Random Elastic Soil Medium, Part I. Archives of Hydro-Eng. and Environmental Mechanics, z. 3-4,1994, pp. 53-74
  • [13] Przewlocki J., Deformation due to Gravity in Random Elastic Soil Medium, Part II. Archives of Hydro—Eng. and Environmental Mechanics, z. 3-4,1994, pp. 75-98
  • [14] Przewlocki J., Estimation of Random Field of Soil Medium Mechanical Parameters, XI Conference of Soil Mechanics and Foundation Engieneering, Gdansk, 1997 (in Polish), pp. 145-150
  • [15] Przewlocki J., Randomness in Soil Medium Mechanics, IBW PAN, Biblioteka Naukowa Hydrotechnika nr 25,1998 (in Polish)
  • [16] Righetti G., Harrop-Williams K., Finite Element Analysis of Random Soil Media, J. of Geotechnical Engineering, Vol. 114, No. 1,1988, pp. 59-75
  • [17] Shinozuka M., Structural Response Variability, Jnl. of Engineering Mechanics, Vol 113, No. 1,1987, pp. 852-842
  • [18] Spanos P. D., Ghanen R., Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, 1991
  • [19] Vanmarcke E., Random Fields: Analysis and Synthesis, The MIT Press, Cambridge, 1983.
  • [20] Wilde P., Discretization of Random Fields in Engineering Problems, PWN Warszawa — Poznan, 1981, (in Polish)
  • [21] Yamazaki F., Shinozuka M., Dasgupta G., Neumann Expansion For Stochastic Finite Element Analysis, Jnl. of Engineering Mechanics, Vol. 114, No. 8,1988, pp. 1335-1354
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0018-0020
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