A procedure is developed to integrate analytical solutions to problems featuring random media with Monte Carlo simulations in order to improve the efficiency of the simulations. This is achieved by developing a common theoretical framework that encompasses Monte Carlo procedures as well as various expansion solution techniques. This framework can be perceived as a natural extension of hybrid deterministic finite element procedures whereby refinement is achieved by simultaneously increasing the number of elements as well as the degree of interpolation within each element.

Issue Section:
Technical Papers
Topics:
Finite element analysis, Simulation, Interpolation
1.
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Deodatis
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,”
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Ghanem
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, and
Spanos
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,
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a, “
Spectral stochastic finite-element formulation for reliability analysis
,”
ASCE Journal of Engineering Mechanics
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10
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2372
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7.
Ghanem, R., and Spantos, P., 1991b, Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, New York.
8.
Ghanem
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,
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,”
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255
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264
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9.
Ghanem
R.
, and
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,
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Stochastic finite element analysis for random layered media
,”
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369
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10.
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12.
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Shinozuka
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,”
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14.
Shinozuka
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, and
Deodatis
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,
1991
, “
Simulation of stochastic processes by spectral representation
,”
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44
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191
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204
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15.
Shinozuka
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Lenoe
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16.
Spanos
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,
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, “
Stochastic finite element expansion for random media
,”
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17.
Zhang, J., and Ellingwood, B., “Orthogonal series expansion of random fields in first-order reliability analysis,” ASME Journal of Engineering Mechanics, to appear.
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