Engineering Transactions, 43, 3, pp. 359-371, 1995

Anisotropy of Random Fields in Stochastic Fem

W. Knabe
Polish Academy of Sciences, Institute of Hydroengineering, Gdańsk
Poland

G. Różyński
Polish Academy of Sciences, Institute of Hydroengineering, Gdańsk
Poland

The anisotropy of a random variable consisting of rectangular local averages of a Gaussian, isotropic and homogeneous random field is presented. The analysis deals with fields having exponential correlation functions. It is shown that such local averages, formed by a mesh of finite elements, generate the anisotropy even if the mesh consists of identical squares.

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References

P. WILDE, Discretization of random fields in engineering calculations [in Polish], PWN, Warszawa, Poznań 1981.

E. VANMARCKE, Random field analysis and synthesis, The MIT Press, Cambridge Massachusetts, London, England 1983.

S. MAHADEVAN and A. HALZAR, Practical random field discretization in stochastic finite element analysis, Structural Safety, 9, 281-304, 1991.

E. VANMARCKE, M. SHINOZUKA, 8. NAKAGIRI, G.I. SHUELLER and M. GRIGORIU, Random fields and stochastic finite elements, Structural Safety, vol. 3, 143-166, August 1986.

M. SHINOZUKA and F. YAMAZAKI, Stochastic finite element analysis: an introduction, [in:] Stochastic Structural Dynamics, Elsevier Applied Science, London New York 1988.

T. TAKADA, Weighted integral method in stochastic FEM, Probabilistic Engng. Mech. 5, 3, 1990.

P.D. SPANOS and R. GHANEM, Stochastic finite element expansion for random media, J. Engng. Mech., 115, 5, 1035-1053, May 1989.




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