Stochastic Finite Element Analysis using Polynomial Chaos

Stefanos Drakos · Gyan N. Pande

7 citations0/0 files storedStudia Geotechnica et Mechanica

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Probabilistic and Robust Engineering Design Geotechnical Engineering and Analysis Soil, Finite Element Methods

Abstract

Abstract This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical problems feasible. This is achieved by polynomial chaos expansion of the displacement field. An example of a plane-strain strip load on a semi-infinite elastic foundation is presented and results of settlement are compared to those obtained from Random Finite Element Analysis. A close matching of the two is observed.

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References

1991Stochastic Finite Elements: A Spectral Approach 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos 1987Tests for Hurst Effect 1994Simulation of Stationary Gaussian Processes in [0, 1]d 2000Power-law correlations, related models for long-range dependence and their simulation 2006Fast and Exact Simulation of Large Gaussian Lattice Systems in ℝ2: Exploring the Limits

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