Bounds on the effective elastic moduli of randomly oriented aggregates of monoclinic crystals are derived using the variational principles of Hashin and Shtrikman. The bounds are considerably narrower than the widely used Voigt and Reuss bounds. The Voigt‐Reuss‐Hill average lies within the Hashin‐Shtrikman bounds in nearly all cases.

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© 1980 American Institute of Physics.
1980
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