Reference: A.P. Roberts and E.J. Garboczi, Proc. Royal Society, 458 (2021), 1033-1054 (2002).(PDF Version of original paper)
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A. P. ROBERTSa, b AND E. J.
aBuilding Materials Division, National Institute of Standards and Technology,
Gaithersburg, MD 20899, USA
bCentre for Microscopy and Microanalysis, University of Queensland,
St. Lucia, Queensland 4072, Australia
Oct 1, 2000
Without using accurate numerical computations, one is limited to various effective medium theories and rigorous approximations like bounds and expansions. The accuracy of these equations is unknown for general porous media. To verify a particular theory it is important to check that it predicts both isotropic elastic moduli; i.e., prediction of the Young's modulus alone is necessary but not sufficient. The subtleties of the Poisson's ratio behaviour actually provide a very effective method for showing differences between the theories and demonstrating their ranges of validity. We find that for moderate to high porosity materials, none of the analytical theories is accurate and at present numerical techniques must be relied upon.
Keywords: structure-property relationships, theoretical mechanics