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Stochastic Finite Element Expansion for Random Media

P.D. Spanos, R. Ghanem

NCEER-88-0005 | 3/14/1988 | 46 pages

About the Report:

TOC: The table of contents is provided.

Keywords: Stochastic Process, Random Processes, Random Media, Reliability Modeling, and Finite Element Method.

Abstract: A new method for the solution of problems involving random media is proposed. The medium property is represented by a stochastic process. The method makes use of an orthogonal expansion of the process with a finite set of random variables and leads to a formulation compatible with the finite element method. The usefulness of the method, in terms of accuracy and efficiency, is exemplified by considering a cantilever beam with random rigidity.