On Some Methods in Safety Evaluation in Geotechnics

[1] ASHRAF A.A., ABDALLAH S.B., Three-Dimensional Analysis of Seepage below and around Hydraulic Structures, J. Hydrologic Eng., 2009, 14(3), 243-247.10.1061/(ASCE)1084-0699(2009)14:3(243)Search in Google Scholar

[2] ALONSO E., KRIZEK R.J., Stochastic formulation of soil properties, Proceedings of the 2nd International Conference on Applications of Statistics and Probability in Soil and Structural Engineering, Vol. II, Aachen, 1975, 9-32.Search in Google Scholar

[3] BOWLES J.E., Foundation analysis and design, 5th ed. McGraw-Hill, 1996.Search in Google Scholar

[4] BOX G.P., DRAPER N.R., Empirical model-building and response surface, J. Wiley & Sons, New York, 1996.Search in Google Scholar

[5] BREITUNG K., Asymptotic approximation for multinormal integrals, J. Eng. Mech. ASCE., 1984, 110(3), 357-366.10.1061/(ASCE)0733-9399(1984)110:3(357)Search in Google Scholar

[6] BRINCH HANSEN J., The ultimate resistance of rigid piles against transversal force, The Danish Geotechnical Institute, Bulletin, No. 12, Copenhagen, 1961.Search in Google Scholar

[7] CAFARO F., CERUBINI C., COTECCHIA F., Use of the scale of fluctuation to describe the geotechnical variability of an Italian clay, Proceeding of the 8th International Conference on Applications of Statistics and Probability in Civil Engineering, eds. Melchers and Stewart, Rotterdam, 2000, 481-486.Search in Google Scholar

[8] CHERUBINI C., Probabilistic approach to the design of anchored sheet pile walls, Computers and Geotechnics, 2000, 26(3-4), 309-330.10.1016/S0266-352X(99)00044-0Search in Google Scholar

[9] CHERUBINI C., VESSIA G., PUŁA W., Statistical soil characterization of Italian sites for reliability analysis, Characterization and Engineering Properties of Natural Soil, eds. Tan W., Phoon K.K., Hight, Lerouell, Singapore, Taiwan, 2007, 2681-706.Search in Google Scholar

[10] CHOK Y.H., JAKSA M.B., GRIFFITHS D.V., FENTON G.A., KAGGWA W.S., A parametric study on reliability of spatially random cohesive slopes, Australian Geomechanics, 2007, 42(2), 79-85.Search in Google Scholar

[11] CORNELL C.A., A first-order reliability theory for structural design, Study No. 3, Structural Reliability and Codified Design, University of Waterloo, Ontario, 1969.Search in Google Scholar

[12] CORNELL C.A., A probability-based Structural Code, ACI Journal, 1969, 66(12), 974-985.10.14359/7446Search in Google Scholar

[13] DER KIUREGHIAN A., KE J.-D., The stochastic finite element method in structural reliability, Probabilistic Engineering Mechanics, 1988, 3(2), 83-91.10.1016/0266-8920(88)90019-7Search in Google Scholar

[14] DITLEVSEN O., Principle of Normal Tail Approximation, Journal of the Engineering Mechanics Division, ASCE. 1981, 107(EM6), 1191-1208.Search in Google Scholar

[15] DITLEVSEN O., MADSEN H.O., Structural Reliability Methods, John Wiley & Sons, Chichester, 1996.Search in Google Scholar

[16] EN 1997-1:2004. Eurocode 7. Geotechnical Design, Part 1: General Rules. CEN, European Committee for Standardization, Brussels.Search in Google Scholar

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

[18] FENTON G.A., VANMARCKE E., Simulation of random fields via local average subdivision, ASCE J. Geotech. Eng., 1990, 116(8), 1733-1749.10.1061/(ASCE)0733-9399(1990)116:8(1733)Search in Google Scholar

[19] 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

[20] FENTON G.A., GRIFFITHS D.V., CAVERS W., Resistance factors for settlement design, Canadian Geotechnical Journal, 2005, 42(5), 1422-1436.10.1139/t05-053Search in Google Scholar

[21] FENTON G.A., GRIFFITHS D.V., ZHANG X.Y., Load and resistance factor design of shallow foundations against bearing failure, Canadian Geotechnical Journal, 2008, 45(11), 1556-1571.10.1139/T08-061Search in Google Scholar

[22] FENTON G.A., GRIFFITHS D.V., Risk assessment in geotechnical engineering, John Wiley & Sons, New York, 2008.10.1002/9780470284704Search in Google Scholar

[23] FISZ M. Probability theory and mathematical statistics, Wiley, New York, 1960.Search in Google Scholar

[24] GHANEM R., SPANOS P., Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, New York, 1991.10.1007/978-1-4612-3094-6Search in Google Scholar

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

[26] GRIFFITHS D.V., FENTON G.A., Probabilistic analysis of exit gradients due to steady seepage, Journal of Geotechnical and Geoenvironmental Engineering, 1998, 124(9), 789-797.10.1061/(ASCE)1090-0241(1998)124:9(789)Search in Google Scholar

[27] GRIFFITHS D.V., FENTON G.A., Bearing capacity of spatially random soil: The undrained clay Prandtl problem revisited, Geotechnique, 2001, 54(4), 351-359.10.1680/geot.2001.51.4.351Search in Google Scholar

[28] GRIFFITHS D.V., FENTON G.A., TVETEN D.E., Probabilistic earth pressure analysis by the Random Finite Element Method, Proc. of the 11th International Conference on Computer Methods and Advances in Geomechanics (IACMAG 05), G. Barla and M. Barla (eds.), Turin, 2005, 4, 235-249.Search in Google Scholar

[29] GRIFFITHS D.V., FENTON G.A., ZIEMANN H.R., The influence of strength variability in the analysis of slope failure risk, Proc. of the Second Japan-U.S. Workshop on Testing, Modeling and Simulation, Kyoto, P.V. Lade and T. Nakai (eds.), 2005, also in: Geotechnical Special Publication, 2006, 156, 113-123.10.1061/40870(216)9Search in Google Scholar

[30] GRIFFITHS D.V., FENTON G.A., ZIEMANN H.R., Reliability of passive earth pressure, Georisk: Assessment and Manag. of Risk for Engineered Systems and Geohazards, 2008, 2(2), 113-121.10.1080/17499510802178640Search in Google Scholar

[31] GRIFFITHS D.V., FENTON G.A., Probabilistic settlement analysis by stochastic and random finite element methods, Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(11), 1629-1637.10.1061/(ASCE)GT.1943-5606.0000126Search in Google Scholar

[32] HASOFER A.M., LIND N.C., An Exact and Invariant First- Order Reliability Format, Journal of Engineering Mechanics Division, ASCE, 1974, 100(EM1), 111-121.10.1061/JMCEA3.0001848Search in Google Scholar

[33] HISADA T., NAKAGIRI S., Stochastic finite element developed for structural safety and reliability, Proc. of the 4th International Conference on Structural Safety and Reliability ICOSSAR-3, 1981, 395-408.Search in Google Scholar

[34] HOHENBICHLER M., GOLLWITZER S., KRUSE W., RACKWITZ R., New light on first and second-order reliability methods, Structural Safety, 1987, 4, 267-284.10.1016/0167-4730(87)90002-6Search in Google Scholar

[35] HOHENBICHLER M., RACKWITZ R., Improvement of the secondorder reliability estimates by importance sampling, Journal Eng. Mech., ASCE, 1988, 114(12), 2195-2199.10.1061/(ASCE)0733-9399(1988)114:12(2195)Search in Google Scholar

[36] KUO Y.L., JAKSA M.B., KAGGWA W.S., FENTON G.A., GRIFFITHS D.V., GOLDSWORTHY J.S., Probabilistic analysis of multi-layered soil effects on shallow foundation settlement, Proc. of 9th Australia New Zealand Conference on Geomechanics, G. Farquhar et al. (eds.), University of Auckland, 2004, 2, 541-547.Search in Google Scholar

[37] LIU P.L., DER KIUREGHIAN A., Optimization algorithms for structural reliability, Structural Safety, 1991, 9, 161-177.10.1016/0167-4730(91)90041-7Search in Google Scholar

[38] LOW B.K., TANG W.H., Reliability analysis using objectoriented constrained optimization, Structural Safety, 2004, 26(1), 69-89.10.1016/S0167-4730(03)00023-7Search in Google Scholar

[39] LOW B.K., TANG W.H., Efficient spreadsheet algorithm for first-order reliability method, Journal Eng. Mech, ASCE, 2007, 133(12), 1378-1387.10.1061/(ASCE)0733-9399(2007)133:12(1378)Search in Google Scholar

[40] 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

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

[42] NUTTALL J.D., HICKS M.A., LLORET CABOT M., Stochastic approach to slope stability analysis with in-situ data, Industrial safety and life cycle engineering, 2013, 527-538.Search in Google Scholar

[43] PIECZYŃSKA J., Random finite element method in analysis of a bearing capacity of a shallow foundation, PhD Thesis, Wrocław University of Technology, 2012, (in Polish).Search in Google Scholar

[44] 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

[45] PN-EN 1997-1:2008/Ap2. Polish annex to PN-EN 1997-1:2008. Search in Google Scholar

[46] PUŁA W., Applications of Structural Reliability Theory to safety evaluation of Foundations, Wrocław University of Technology Press, 2004, (in Polish).Search in Google Scholar

[47] PUŁA W., Reliability of laterally loaded rigid piles, [in:] Probabilistic methods in geotechnical engineering, CISM Courses and Lectures, Springer, 2007, No. 491, 169-183.10.1007/978-3-211-73366-0_7Search in Google Scholar

[48] PUŁA W., RÓŻAŃSKI A., Reliability of rigid piles subjected to lateral loads, ACME, 2012, 12, 205-218.10.1016/j.acme.2012.04.007Search in Google Scholar

[49] PUŁA W., ZASKÓRSKI Ł., Estimation of the probability distribution of the bearing capacity of cohesionless soil using the random finite element method, Structure and Infrastructure Engineering, 2014, 11 (5), 707-720.10.1080/15732479.2014.903501Search in Google Scholar

[50] RACKWITZ R., FIESSLER B., Structural reliability under combined random loads sequences, Computers and Structures, 1978, 9, 489-494.10.1016/0045-7949(78)90046-9Search in Google Scholar

[51] RACKWITZ R., Reviewing probabilistic soils modeling, Computers and Geotechnics, 2000, 26(3-4), 309-330.10.1016/S0266-352X(99)00044-0Search in Google Scholar

[52] ROSENBLATT M., Remarks on a multivariate transformation, Annals of Mathematical Statistics, 1952, 23, 470-472.10.1214/aoms/1177729394Search in Google Scholar

[53] THAO N.T.P., Geotechnical analysis of a chosen region of the Wrocław city by statistical method, Wrocław University of Technology, Wrocław, 1984, (in Polish).Search in Google Scholar

[54] TOMLINSON M.J., Foundation design and construction, 7th ed., Prentice Hall, 2001.Search in Google Scholar

[55] TVEDT L., Two second-order approximations to the failure probability, Det Norske Veritas, RDIV/20-004-83, 1983.Search in Google Scholar

[56] VANMARCKE E.H., Probabilistic Modeling of Soil Profiles, Journal of the Geotechnical Engineering Division, ASCE, 1977, 103(GT11), 1227-1246.10.1061/AJGEB6.0000517Search in Google Scholar

[57] VANMARCKE E.H., Reliability of earth slopes, J. Geotech. Eng. Div., 1977, 103(GT11), 1247-1265.10.1061/AJGEB6.0000518Search in Google Scholar

[58] VANMARCKE E.H., Random Fields - Analysis and Synthesis. MIT Press, 1983. Search in Google Scholar