Some experimental data by Richard [1] has been used by previous authors to validate models for the prediction of effective moduli of composites. It is shown that this data lies outside the range specified by the Hashin-Shtrikman bounds.
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References
1.
Richard, T.G."The Mechanical Behavior of a Solid Microsphere Filled Composite,"J. Composite Materials , 9:108-113 (1975).
2.
Hashin, Z. and S. Shtrikman."A Variational Approach in the Theory of the Elastic Behavior of Multiphase Materials,"J. Mech. Phys. Solids , 11:127-140 (1963).
3.
Christensen, R.M.Mechanics of Composite Material, New York: Wiley and Sons, Inc. (1979).