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

[1] EN 1990:2002. Eurocode: Basis of structural design. CEN, European Committee for Standardization, Brussels.Search in Google Scholar

[2] FENTON G.A., GRIFFITHS D.V., Bearing-capacity prediction of spatially random c φ soils, Canadian Geotechnical Journal, 2003, 40(1), 54-65.10.1139/t02-086Search in Google Scholar

[3] FENTON G.A., GRIFFITHS D.V., Risk Assessment in Geotechnical Engineering, John Wiley & Sons, New York 2008.10.1002/9780470284704Search in Google Scholar

[4] FENTON G.A., VANMARCKE E.H., Simulation of random fields via local average subdivision, Journal of Engineering Mechanics, 1990, 116(8), 1733-1749.10.1061/(ASCE)0733-9399(1990)116:8(1733)Search in Google Scholar

[5] FLAC 3D Fast Lagrangian Analysis of Continua in 3 Dimensions: User’s Guide. (2006). Minneapolis: Itasca Consulting Group, Inc.Search in Google Scholar

[6] GRIFFITHS D.V., FENTON G.A., Seepage beneath water retaining structures founded on spatially random soil, Geotechnique, 1993, 43(4), 577-587.10.1680/geot.1993.43.4.577Search in Google Scholar

[7] GRIFFITHS D.V., FENTON G.A., Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited, Geotechnique , 2001, 351-359.10.1680/geot.2001.51.4.351Search in Google Scholar

[8] HICKS M.A., SAMY K., Stochastic evaluation of heterogeneous slope stability, Italian Geotechnical Journal, 2004, 38(2), 54-66.Search in Google Scholar

[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), 948-955.10.1016/j.compgeo.2010.08.001Search in Google Scholar

[10] KAWA M., ŁYDŻBA D., Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept, Studia Geotechnica et Mechanica, 2015, 37(3), 31-39.10.1515/sgem-2015-0030Search in Google Scholar

[11] LOOMIS L.H., Introduction to abstract harmonic analysis, Courier Corporation, 2011.Search in Google Scholar

[12] LOW B.K., PHOON K.K., Reliability-based design and its complementary role to Eurocode 7 design approach, Computers and Geotechnics, 2015, 65, 30-44.10.1016/j.compgeo.2014.11.011Search in Google Scholar

[13] LUMB P., The variability of natural soils, Canadian Geotechnical Journal, 1966, 3(2), 74-97.10.1139/t66-009Search in Google Scholar

[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 2011.10.1201/b11332-249Search in Google Scholar

[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, 229-238.10.1016/j.compgeo.2015.02.013Search in Google Scholar

[16] PUŁA W., Zastosowania teorii niezawodności konstrukcji do oceny bezpieczeństwa fundamentów, Oficyna Wydaw. Politechniki Wrocławskiej, Wrocław 2004, (in Polish).Search in Google Scholar

[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), 707-720.10.1080/15732479.2014.903501Search in Google Scholar

[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 Sciences, 2012, 53-58.Search in Google Scholar

[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, 551-563.10.1111/ejss.12368Search in Google Scholar

[20] SAMY K., Stochastic analysis of soils, MEng Thesis, University of Manchester, 1998.Search in Google Scholar

[21] SAMY K., Stochastic analysis with finite elements in geotechnical engineering, PhD Thesis, University of Manchester, 2003.Search in Google Scholar

[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), 453-460.10.1115/1.4010747Search in Google Scholar

[23] SPENCER W.A., Parallel Stochastic and Finite Element Modelling of Clay Slope Stability in 3D, PhD Thesis, University of Manchester, 2007.Search in Google Scholar

[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.Search in Google Scholar

[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), 99-107.10.1515/sgem-2016-0011Search in Google Scholar

[26] VANMARCKE E.H., Probabilistic modeling of soil profiles, Journal of the Geotechnical Engineering Division, 1977a, 103(11), 1227-1246.10.1061/AJGEB6.0000517Search in Google Scholar

[27] VANMARCKE E.H., Reliability of earth slopes, Journal of the Geotechnical Engineering Division, 1977b, 103(11), 1247-1265.10.1061/AJGEB6.0000518Search in Google Scholar

[28] VANMARCKE E.H., Random fields: Analysis and synthesis, The MIT Press, Cambridge 1983.Search in Google Scholar

[29] VESSIA G., CHERUBINI C., PIECZYNSKA J., PULA W., Application of random finite element method to bearing capacity design of strip footing, Journal of GeoEngineering, 2009, 4(3), 103-112.Search in Google Scholar

[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), 112-124.10.1016/j.acme.2015.09.007Search in Google Scholar