Random Field Modeling of Elastic Properties Using Homogenization
Publication: Journal of Engineering Mechanics
Volume 127, Issue 1
Abstract
This paper addresses the random field characterization of elastic properties. Consistent random field properties of a continuum are derived from a simple stochastic micromechanical model of the continuum. Existing displacement-based techniques to homogenize the discrete microstructure are discussed and a new force-based technique is introduced. The stochastic features of a micromechanically consistent continuum can be considerably different from those based on a straightforward randomization of deterministic constitutive laws. Examples indicate the relevance for structural reliability. The impact of uncertainties associated with selecting micromechanical models is assessed.
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 1 • January 2001
Pages: 27 - 36
History
Received: Sep 29, 1999
Published online: Jan 1, 2001
Published in print: Jan 2001
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