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Article | REF: BM5028 V1

Practical approach of stochastic finite element method. Random variables

Author: Maurice LEMAIRE

Publication date: April 10, 2015

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2. Stochastic data model

The construction of the matrix [K ] and the vector of actions {F } is based on data whose representation may vary. In all cases, we need to characterize a vector {X } of random variables of dimension nva. This is very simple if the variables {X } are direct data present in the code input file, more complicated if they result from the discretization of a random field.

2.1 Direct data

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2.1.1 Stiffness matrix

The relationship

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