PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Random analysis of bearing capacity of square footing using the LAS procedure

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the present paper, a three-dimensional problem of bearing capacity of square footing on random soil medium is analyzed. The random fields of strength parameters c and φ are generated using LAS procedure (Local Average Subdivision, Fenton and Vanmarcke 1990). The procedure used is re-implemented by the authors in Mathematica environment in order to combine it with commercial program. Since the procedure is still tested the random filed has been assumed as one-dimensional: the strength properties of soil are random in vertical direction only. Individual realizations of bearing capacity boundary-problem with strength parameters of medium defined the above procedure are solved using FLAC3D Software. The analysis is performed for two qualitatively different cases, namely for the purely cohesive and cohesive-frictional soils. For the latter case the friction angle and cohesion have been assumed as independent random variables. For these two cases the random square footing bearing capacity results have been obtained for the range of fluctuation scales from 0.5 m to 10 m. Each time 1000 Monte Carlo realizations have been performed. The obtained results allow not only the mean and variance but also the probability density function to be estimated. An example of application of this function for reliability calculation has been presented in the final part of the paper.
Wydawca
Rocznik
Strony
3--13
Opis fizyczny
Bibliogr. 30 poz., tab., rys.
Twórcy
autor
  • Wrocław University of Science and Technology, Faculty of Civil Engineering, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław
autor
  • Wrocław University of Science and Technology, Faculty of Civil Engineering, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław
autor
  • Wrocław University of Science and Technology, Faculty of Civil Engineering, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław
Bibliografia
  • [1] EN 1990:2002. Eurocode: Basis of structural design. CEN, European Committee for Standardization, Brussels.
  • [2] FENTON G.A., GRIFFITHS D.V., Bearing-capacity prediction of spatially random c φ soils, Canadian Geotechnical Journal, 2003, 40(1), 54–65.
  • [3] FENTON G.A., GRIFFITHS D.V., Risk Assessment in Geotechnical Engineering, John Wiley & Sons, New York 2008.
  • [4] FENTON G.A., VANMARCKE E.H., Simulation of random fields via local average subdivision, Journal of Engineering Mechanics, 1990, 116(8), 1733–1749.
  • [5] FLAC 3D Fast Lagrangian Analysis of Continua in 3 Dimensions: User’s Guide. (2006). Minneapolis: Itasca Consulting Group, Inc.
  • [6] GRIFFITHS D.V., FENTON G.A., Seepage beneath water retaining structures founded on spatially random soil, Geo- technique, 1993, 43(4), 577–587.
  • [7] GRIFFITHS D.V., FENTON G.A., Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited, Geotechnique , 2001, 351–359.
  • [8] HICKS M.A., SAMY K., Stochastic evaluation of heterogeneous slope stability, Italian Geotechnical Journal, 2004, 38(2), 54–66.
  • [9] HICKS M.A., SPENCER W.A., Influence of heterogeneity on the reliability and failure of a long 3D slope, Computers and Geotechnics, 2010, 37(7), 948–955.
  • [10] KAWA M., ŁYDŻBA D., Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept, Studia Geotechnica et Mechanica, 2015, 37(3), 31–39.
  • [11] LOOMIS L.H., Introduction to abstract harmonic analysis, Courier Corporation, 2011.
  • [12] LOW B.K., PHOON K.K., Reliability-based design and its complementary role to Eurocode 7 design approach, Computers and Geotechnics, 2015, 65, 30–44.
  • [13] LUMB P., The variability of natural soils, Canadian Geotechnical Journal, 1966, 3(2), 74–97.
  • [14] PIECZYŃSKA J., PUŁA W., GRIFFITHS D.V., FENTON G.A., Probabilistic characteristics of strip footing bearing capacity evaluated by random finite element method, Proceedings of the 11th International Conference on Applications of Statistics and Probability in Soil and Structural Engineering (ICASP), Zurich 2011.
  • [15] PIECZYŃSKA-KOZŁOWSKA J.M., PUŁA W., GRIFFITHS D.V., FENTON G.A., Influence of embedment, self-weight and anisotropy on bearing capacity reliability using the random finite element method, Computers and Geotechnics, 2015, 67,229–238.
  • [16] PUŁA W., Zastosowania teorii niezawodności konstrukcji do oceny bezpieczeństwa fundamentów, Oficyna Wydaw. Politechniki Wrocławskiej, Wrocław 2004, (in Polish).
  • [17] PUŁA W., ZASKÓRSKI Ł., Estimation of the probability distribution of the random bearing capacity of cohesionless soil using the random finite element method, Structure and Infrastructure Engineering, 2015, 11(5), 707–720.
  • [18] RAHMAN M., NGUYEN H.B., Applications of Random Finite Element Method in Bearing Capacity Problems, [in:] ADVCOMP 2012. The Sixth International Conference on Advanced Engineering Computing and Applications in Sci- ences, 2012, 53–58.
  • [19] RÓŻAŃSKI A., STEFANIUK D., Prediction of soil solid thermal conductivity from soil separates and organic matter content: computational micromechanics approach, European Journal of Soil Science, 2016, 67, 551–563.
  • [20] SAMY K., Stochastic analysis of soils, MEng Thesis, University of Manchester, 1998.
  • [21] SAMY K., Stochastic analysis with finite elements in geotechnical engineering, PhD Thesis, University of Manchester, 2003.
  • [22] SHIELD R.T., DRUCKER D.C., The application of limit analysis to punch-indentation problems, Journal of Applied Mechanics-Transactions of the ASME, 1953, 20(4), 453–460.
  • [23] SPENCER W.A., Parallel Stochastic and Finite Element Modelling of Clay Slope Stability in 3D, PhD Thesis, University of Manchester, 2007.
  • [24] SPENCER W., HICKS M., A 3D finite element study of slope reliability, Proceedings of the 10th International Symposium on Numerical Models in Geomechanics, Rhodes, Greece 2007, 539–543.
  • [25] STEFANIUK D., RÓŻAŃSKI A., ŁYDŻBA D., Recovery of microstructure properties: random variability of soil solid thermal conductivity, Studia Geotechnica et Mechanica, 2016, 38(1), 99–107.
  • [26] VANMARCKE E.H., Probabilistic modeling of soil profiles, Journal of the Geotechnical Engineering Division, 1977a, 103(11), 1227–1246.
  • [27] VANMARCKE E.H., Reliability of earth slopes, Journal of the Geotechnical Engineering Division, 1977b, 103(11), 1247–1265.
  • [28] VANMARCKE E.H., Random fields: Analysis and synthesis, The MIT Press, Cambridge 1983.
  • [29] VESSIA G., CHERUBINI C., PIECZYNSKA J., PULA W., Application of random finite element method to bearing capacity de- sign of strip footing, Journal of GeoEngineering, 2009, 4(3), 103–112.
  • [30] ZASKÓRSKI Ł., PUŁA W., Calibration of characteristic values of soil properties using the random finite element method, Archives of Civil and Mechanical Engineering, 2016, 16(1), 112–124.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ab20a1e1-05db-49af-8830-1cdadcc9f706
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.