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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 65
FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper XII.1

Computational Homogenization Techniques for Plane Stress Elastic Random Fields

L. Huyse+ and M.A. Maes#

+ICASE, NASA Langley Research Center, Hampton, Virginia, United States of America
#Department of Civil Engineering, University of Calgary, Calgary, Alberta, Canada

Full Bibliographic Reference for this paper
L. Huyse, M.A. Maes, "Computational Homogenization Techniques for Plane Stress Elastic Random Fields", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 319-323, 2000. doi:10.4203/ccp.65.12.1
Abstract
The continuum elastic properties of a material are obtained through a homogenization process of its microstructure. A force-based homogenization technique, based on an assumed stress state inside the material, is presented in this paper. The method complements existing displacement-based techniques that are based on an assumed deformation state for the material. Since the microstructure of the material is known only in a probabilistic sense, the elastic properties of the homogenized continuum are described by means of continuous random fields. It is shown that the stochastic features of the micromechanically consistent continuum can be considerably different from those based on a straightforward randomization of the deterministic constitutive laws of elasticity.

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