Have a personal or library account? Click to login
RELIABILITY ASSESSMENT OF BEARING CAPACITY OF LAYERED SOILS USING HIGH DIMENSIONAL MODEL REPRESENTATION (HDMR) Cover

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

By: Michał Suska and  Wojciech Puła  
Open Access
|Feb 2014

References

  1. [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-E
  2. [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.2008.10.006
  3. [3] CHOWDHURY R., RAO B., Probabilistic Stability Assessment of Slopes Using High Dimensional Model Representation, Computers and Geotechnics, 2010.10.1016/j.compgeo.2010.07.007
  4. [4] DEMIRALP M., High Dimensional Model Representation and its application varieties, Tools for Mathematical Methods, Mathematical Research, St. Petersburg, Vol. 9, 2003, 146-159.
  5. [5] DITLEVSEN O., MADSEN H.O., Structural reliability Methods, John Wiley & Sons, Chichester, 1996.
  6. [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/t02-086
  7. [7] FENTON G.A., GRIFFITHS D.V., Risk Assessment in Geotechnical Engineering, John Wiley & Sons, New York, 2008.10.1002/9780470284704
  8. [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)90002-6
  9. [9] ISO 2394:2000. General principles on reliability of structures. International Standard.
  10. [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.2003.12.005
  11. [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)00417-7
  12. [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-x
  13. [13] MADEJ J., Bearing capacity of layered soils (O nośności granicznej podłoża uwarstwionego), (in Polish), Inżynieria i Budownictwo, Vol. 6, 1977.
  14. [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.
  15. [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.2011.01.008
  16. [16] MUKHERJEE D., RAO B., PRASAD A., Cut-HDMR Based Fully Equivalent Operational Model for Analysis of Unreinforced Masonry Structure, Sadhana, 2012.10.1007/s12046-012-0094-0
  17. [17] MYERS R.H., MONTGOMERY D.C., Response Surface Methodology Process and Product Optimisation Using Design Experiments, John Wiley & Sons, New York, 1995.
  18. [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:1019188517934
  19. [19] RACKWITZ R., Response surfaces in structural reliability, Berichte zur Zuverlässigkeitstheorie der Bauwerke, Heft 67, 1982, LKI, Technische Universität München.
  20. [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, 708-738.10.1108/02644400810909580
  21. [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, 342-357.10.1080/15502280802363035
  22. [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/jp9843398
  23. [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)00229-6
  24. [24] BAROTH J., BREYSSE D., SCHOEFS F. (eds.), Construction Reliability. Safety, Variability and Sustainability, Wiley, 2011.
DOI: https://doi.org/10.2478/sgem-2013-0018 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 233 - 244
Published on: Feb 14, 2014
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Michał Suska, Wojciech Puła, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons License.