| Sumario: | A general formalism is presented that can be used to calculate the average elastic constants of a polycrystal in terms of the elastic constant of the single crystal. The formalism is based on the invariants of the second‐rank tensors and scalars obtained by a contraction of indices of the fourthrank tensor of the elastic constants. It is shown that both, Voigt and Reuss averages are particular cases of the proposed method. The results are compared with actual experimental data obtained in crystals with different symmetries and the physical significance of some of the invariants is discussed. Finally, a general relationship expressing Hooke's law in terms of 3 × 3 matrices of the elastic constants is given. Copyright © 1987 WILEY‐VCH Verlag GmbH & Co. KGaA
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