A formulation for Stochastic finite element analysis of plate structures with uncertain Poisson's ratio

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Up to now, the Young's modulus is mainly dealt within the analysis of response variability. However, since the Poisson's ratio is the other material constant which influences the behavior of structures, the independent evaluation of the effects of this parameter on the response variability is of importance. In this paper, a formulation to determine the response variability in plate structure due to the randomness of Poisson's ratio is given. To filter out the independent contributions of randomness in Poisson's ratio to the response variability, the constitutive matrix has to be decomposed into several sub-matrices. In order to include the Poisson's ratio in the constitutive relation as a non-linear parameter, a polynomial expansion of Poisson's ratio is introduced. To demonstrate the validity of the proposed formulation, an example is chosen and the results are compared with those obtained by means of Monte Carlo simulation. Through the formulation proposed in this paper, it becomes possible for the non-statistical weighted integral stochastic approach to deal with all the uncertain material parameters in its application. (C) 2004 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE SA
Issue Date
2004
Language
English
Article Type
Article
Keywords

RESPONSE VARIABILITY; GEOMETRIC-PROPERTIES; SYSTEMS; FIELDS

Citation

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.193, no.45-47, pp.4857 - 4873

ISSN
0045-7825
DOI
10.1016/j.cma.2004.05.007
URI
http://hdl.handle.net/10203/79053
Appears in Collection
RIMS Journal Papers
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