Discretization Errors of Random Fields in Finite Element Analysis

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Abstract:

The mechanical properties of natural materials such as rocks and soils vary spatially. This randomness is usually modelled by random field theory so that the material properties can be specified at each point in space. When these point-wise material properties are mapped onto a finite element mesh, discretization errors are inevitable. In this study, the discretization errors are studied and suggestions for element sizes in relation with spatial correlation lengths are given.

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405-409

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May 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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