Open Access

RELIABILITY ASSESSMENT OF BEARING CAPACITY OF LAYERED SOILS USING HIGH DIMENSIONAL MODEL REPRESENTATION (HDMR)


Cite

[1] BUCHER C.G., BOURGUND U., A fast and efficient response surface approach for structural reliability problems, Structural Safety, 7, 1990, 57-66.10.1016/0167-4730(90)90012-ESearch in Google Scholar

[2] CHOWDHURY R., RAO B., Hybrid High Dimensional Model Representation for reliability analysis, Comput. Methods Appl. Mech. Eng., 198, 2009, 753-765.10.1016/j.cma.2008.10.006Search in Google Scholar

[3] CHOWDHURY R., RAO B., Probabilistic Stability Assessment of Slopes Using High Dimensional Model Representation, Computers and Geotechnics, 2010.10.1016/j.compgeo.2010.07.007Search in Google Scholar

[4] DEMIRALP M., High Dimensional Model Representation and its application varieties, Tools for Mathematical Methods, Mathematical Research, St. Petersburg, Vol. 9, 2003, 146-159.Search in Google Scholar

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

[6] FENTON G.A., GRIFFITHS D.V., Bearing capacity prediction of spatially random c - φ soils, Canadian Geotechnical Journal, 40(1), 2003, 545.10.1139/t02-086Search in Google Scholar

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

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

[9] ISO 2394:2000. General principles on reliability of structures. International Standard.Search in Google Scholar

[10] KAYA H., KAPLANA M., SAYGINA H., A recursive algorithm for finding HDMR terms for sensitivity analysis Computer Physics Communications, 158, 2004, 106-112.10.1016/j.comphy.2003.12.005Search in Google Scholar

[11] LI G., WANG S.W., RABITZ H., Global uncertainty assessments by high dimensional model representation (HDMR), Chemical Engineering Science, Vol. 57, 2002, 4445-4460.10.1016/S0009-2509(02)00417-7Search in Google Scholar

[12] LI G., RABITZ H., Regularized random-sampling high dimensional model representation (RS-HDMR), Journal of Mathematical Chemistry, Vol. 43, 2008, No. 3.10.1007/s10910-007-9250-xSearch in Google Scholar

[13] MADEJ J., Bearing capacity of layered soils (O nośności granicznej podłoża uwarstwionego), (in Polish), Inżynieria i Budownictwo, Vol. 6, 1977.Search in Google Scholar

[14] MADEJ J., Bearing capacity of layered soils under Polish Standard PN-81/B-03020 (O nośności granicznej podłoża uwarstwionego w świetle normy PN-81/B-03020), (in Polish). VII Conference of Soil Mechanics and Foundations (Konferencja Mechaniki Gruntów i Fundamentowania), (in Polish), Vol. 2, Poznań, 1984, 23-30.Search in Google Scholar

[15] MUKHERJEE D., RAO B., PRASAD A.M., Global Sensitivity Analysis of Unreinforced Masonry Structure Using High Dimensional Model Representation, Engineering Structures, Vol. 33, No. 4, April 2011, 1316-1325.10.1016/j.engstruct.2011.01.008Search in Google Scholar

[16] MUKHERJEE D., RAO B., PRASAD A., Cut-HDMR Based Fully Equivalent Operational Model for Analysis of Unreinforced Masonry Structure, Sadhana, 2012.10.1007/s12046-012-0094-0Search in Google Scholar

[17] MYERS R.H., MONTGOMERY D.C., Response Surface Methodology Process and Product Optimisation Using Design Experiments, John Wiley & Sons, New York, 1995.Search in Google Scholar

[18] RABITZ H., OMER F., Alıs General foundations of high-dimensional model representations, Journal of Mathematical Chemistry, 1999, 25, 197-233 197.10.1023/A:1019188517934Search in Google Scholar

[19] RACKWITZ R., Response surfaces in structural reliability, Berichte zur Zuverlässigkeitstheorie der Bauwerke, Heft 67, 1982, LKI, Technische Universität München.Search in Google Scholar

[20] RAO B., CHOWDHURY R., Factorized high dimensional model representation for structural reliability analysis, Engineering Computations International Journal for Computer-Aided Engineering and Software, Vol. 25, No. 8, 2008, 708-738.10.1108/02644400810909580Search in Google Scholar

[21] RAO B., CHOWDHURYA R., Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform, International Journal for Computational Methods in Engineering Science and Mechanics, 9, 2008, 342-357.10.1080/15502280802363035Search in Google Scholar

[22] SHORTER J.A., IP P.C., RABITZ H., An Efficient Chemical Kinetics Solver Using High Dimensional Model Representation, J. Phys. Chem. A, Vol. 103, 1999, 7192-7198.10.1021/jp9843398Search in Google Scholar

[23] SOBOL I., Theorems and examples on high dimensional model representation, Reliability Engineering and System Safety, 79, 2003, 187-193.10.1016/S0951-8320(02)00229-6Search in Google Scholar

[24] BAROTH J., BREYSSE D., SCHOEFS F. (eds.), Construction Reliability. Safety, Variability and Sustainability, Wiley, 2011. Search in Google Scholar

ISSN:
0137-6365
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics