Average Property in Random Two‐State Medium
Publication: Journal of Engineering Mechanics
Volume 115, Issue 1
Abstract
A one‐dimensional medium consisting of two alternating material states is studied. The occurrences of the states as well as their respective durations are assumed random according to a renewal process. The properties associated with the two materials could be drastically different; they are also subject to uncertainties and spatial variation. Satisfactory performance of a system associated with such medium could depend on the spatial average over some domain within the medium. The domain may consist of a random number of nonoverlapping segments of the two materials. Based on the proposed model, statistics of the domain average property are derived. These statistics may serve as inputs to reliability evaluation, including the determination of exceedance probability of a given threshold by some local spatial average property. Extensive sensitivity analysis reveals the implication of probable presence of another material within an otherwise statistically homogeneous medium. Besides application to geotechnical problems, results could be also useful to any problem involving a random two‐state medium.
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References
1.
Ang, A. H.‐S., and Tang, W. H. (1975). Probability concepts in engineering planning and design, vol. I: Basic principles. John Wiley and Sons, Inc., New York, N.Y. 145–199.
2.
Ang, A. H.‐S., and Tang, W. H. (1984). Probability concepts in engineering planning and design, vol. II: Decision, risk and reliability. John Wiley and Sons, Inc., New York, N.Y. 158.
3.
Tang, W. H., and Gilbert, R. B. (1988). “Average property in a 2‐dimensional two‐state random field model.” Proc., Symp. on Stochastic Dynamics, Univ. of Illinois at Urbana‐Champaign.
4.
Vanmarcke, E. H. (1977). “Probabilistic modeling of soil profiles.” J. Geotech. Engrg. Div., ASCE, 103(GT11), 1237–1246.
5.
Vanmarcke, E. H. (1979). “Averages and extremes of random fields.” Res. Rept. R79‐43, Dept. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass.
6.
Vanmarcke, E. H. (1983). Random field and analysis and synthesis. M.I.T. Press, Cambridge, Mass.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 115 • Issue 1 • January 1989
Pages: 131 - 144
Copyright
Copyright © 1989 ASCE.
History
Published online: Jan 1, 1989
Published in print: Jan 1989
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