Research Article
Oct 1980
Self-Consistent Techniques for Heterogeneous Media
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VIEW THE REPLYAuthors: Michael P. Cleary, AM.ASCE, Shaw-Ming Lee, and I-Wei ChenAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 106, Issue 5
Abstract
The basis for the estimates is given in the form of an auxiliary solution characterizing the behavior of a single embedded site. Both classical self-consistent methodologies (SCM) and rationalized differential formulations (DCM) are developed, with emphasis on physical realism, applications to polycrystalline and various composite materials (including porous media and plate bending) are compared favorably with many experimental results. Recent attempts to generate effective plasticity/creep models plus estimates of thermal/electrical/pore-fluid transmissivity, are examined critically. A general conclusion is that DCM provides remarkably accurate descriptions but that even more detailed characterization of microstructure methodologies is essential for extreme circumstances, such as discrete site interaction or dominance of nicrogeometric connectivity. Fully numerical simulation may be avoided by specializations of exact integral equations: among these, only the self-consistent approximation and a few isolated second-order estimates have been explored.
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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 5 • October 1980
Pages: 861 - 887
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Oct 1980
Published online: Feb 3, 2021
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Affiliations
Michael P. Cleary, AM.ASCE
Assoc. Prof., Dept. of Mechanical Engrg., M.I.T., Cambridge, Mass.
Shaw-Ming Lee
Research Scientist, Ciba-Geigy Corp., Ardsley, N.Y.
I-Wei Chen
Asst. Prof., Dept. of Nuclear Engrg., M.I.T., Cambridge, Mass.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.