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1 Applied Mechanics and Engineering

1 1999

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An efficient stochastic finite element method for random field problems

Chakraborty S., Sekhar Dey S.

Applied Mechanics and Engineering

1999

Vol. 4, no 1

45-71

The present paper primarily deals with the analysis of structures involving more than one parameter being stochastic in nature. The proposed method involves two stages. The first part hinges upon adequate representation of the stochastic process and a digital simulation of random parameters. This has been achieved by the local averaging technique followed by the Cholesky decomposition algorithm. Finally, the finite element solution has been obtained utilizing the Neumann expansion method within the framework of Monte Carlo simulation.The approach involves only single decomposition of the stiffnes matrix for the entire simulation and leads to a considerable saving of computing time. Another important flexibility of the approach is that more than one parameter can be handled simultaneously. Numerical examples are presented to elucidate the accuracy and efficiency of the method with respect to the direct simulation approach.