Journal
COMPUTERS & STRUCTURES
Volume 122, Issue -, Pages 217-229Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2013.03.005
Keywords
Non-local elasticity; Interval field; Random field; Karhunen-Loeve decomposition; Upper bound and lower bound; Response statistics
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The analysis of one-dimensional non-local elastic solids with uncertain Young's modulus is addressed. Non-local effects are represented as long-range central body forces between non-adjacent volume elements. For comparison purpose, the fluctuating elastic modulus of the material is modeled following both a probabilistic and a non-probabilistic approach. To this aim, a novel definition of the interval field concept, able to limit the overestimation affecting ordinary interval analysis, is introduced. Approximate closed-form expressions are derived for the bounds of the interval displacement field as well as for the mean-value and variance of the stochastic response. (C) 2013 Elsevier Ltd. All rights reserved.
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