Finite Element Analysis of Random Soil Media
Publication: Journal of Geotechnical Engineering
Volume 114, Issue 1
Abstract
Application of the stochastic finite element method to a probabilistic characterization of the system based on a random field model appears to be a promising method of analyzing the reliability of structural and geotechnical complex systems. Following this method, it is possible to model a structure by a limited number of accessible stochastic data and subsequently to compute the characteristics of the displacement and stress random fields in the structure by use of the first‐order second‐moment approximation to the stochastic finite element equations. This paper presents an application of the methodology for a soil profile with a random distribution of the elastic modulus. A parametric study is carried out in order to evaluate the significance of stochastic modelling of such a random system by use of the adopted methodology.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Beacher, G. B., and Ingra, T. S. (1981). “Stochastic FEM in settlement prediction.” Geotech. Engrg. Div., ASCE, 107(4), 449–463.
2.
Choot, G. E. (1980). “Stochastic underseepage analysis in dams,” thesis presented to the Massachusetts Institute of Technology, Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Contreras, H. (1980). “The stochastic finite‐element method.” Comput. and Struct., 12, Dec., 341–348.
4.
Dasgupta, G. (1985). “Stochastic finite element analysis of soil‐structure system.” Proc. Fourth Internat. Conf. on Struct. Safety and Reliability, I. Konishi, A. H.‐S. Ang., and M. Shinozuka, eds., 2, 525–532.
5.
Der Kiureghian, A., and Ke, J. (1985). “Finite‐element based reliability analysis of frame structures.” Proc. Fourth Internat. Conf. on Struct. Safety and Reliability, I. Konishi, A. H.‐S. Ang, and M. Shinozuka, eds., 2, 395–404.
6.
Der Kiureghian, A., and Taylor, R. L. (1983). “Numerical methods in structural reliability.” Proc. Fourth Internat. Conf. Application of Stat. and Probability in Soil and Struct. Engrg., Univ. of Florence, Italy, 2, 771–784.
7.
Ditlevsen, O., and Bjerager, P. (1986). “Methods of structural system reliability.” Struct. Safety, 3(3/4), 195–229.
8.
Hachich, W. (1981). “Seepage‐related reliability of embankment dams.” Thesis presented to the Massachusetts Institute of Technology, Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Handa, K., and Andersson, K. (1981). “Application of finite element methods in the statistical analysis of structures.” Proc. Third Internat. Conf. on Struct. Safety and Reliability, T. Moan and M. Shinozuka, eds., 1, 409–417.
10.
Hisada, T., and Nakagiri, S. (1985). “Role of the stochastic finite element method in structural safety and reliability.” Proc. Fourth Internat. Conf. on Struct. Safety and Reliability. I. Konish, A. H.‐S. Ang, and M. Shinozuka, eds., 1, 385–394.
11.
Ishii, K., and Suzuki, M. (1987). “Stochastic finite element method for slope stability analysis.” Struct. Safety, 4, Apr., 111–129.
12.
Mochio, T., Samaras, E., and Shinozuka, M. (1985). “Stochastic equivalent linearization for finite element‐based reliability analysis.” Proc. Fourth Internat. Conf. on Struct. Safety and Reliability, I. Konish, A. H.‐S. Ang., and M. Shinozuka, eds., 1, 375–385.
13.
Rackwitz, R. (1981). “Implementation of probabilistic safety concepts in design and organisational codes.” Proc. Third Internat. Conf. Struct. Safety and Reliability, T. Moan and M. Shinozuka, eds., 1, 593–614.
14.
Shinozuka, M. (1985). “Response variability due to spatial randomness.” Methods of stochastic structural mechanics, F. Casciati and L. Faravelli, eds., SEAG, Pavia, Italy.
15.
Vanmarcke, E. H. (1977). “Probabilistic modeling of soil profiles.” J. Geotech. Engrg. Div., ASCE, 103(11), 1227–1246.
16.
Vanmarcke, E. H. (1983). Random fields: analysis and synthesis. The Massachusetts Institute of Technology Press, Cambridge, Mass.
17.
Vanmarcke, E. H., and Grigoriu, M. (1983). “Stochastic finite element analysis of simple beams.” J. Engrg. Mech. Div., ASCE, 109(5), 1203–1214.
18.
Vanmarcke, E. H., Shinozuka, M., Nakagiri, S., Schueller, G. I., and Grigoriu, M. (1986). “Random fields and stochastic finite element.” Struct. Safety, 3(3/4), 143–166.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 114 • Issue 1 • January 1988
Pages: 59 - 75
Copyright
Copyright © 1988 ASCE.
History
Published online: Jan 1, 1988
Published in print: Jan 1988
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.