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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

doi:10.4203/ccp.65.12.1

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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.65.12.1 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £80 +P&P)
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