Abstract
Combinations of the fourth-order elastic constants of β-brass were calculated using the measured second-order and third-order elastic constants and the expressions for the effective elastic constants of a cubic crystal obtained from finite-strain theory. The present calculations show that the Cauchy relations for the fourth-order elastic constants in β-brass are not satisfied. This implies that noncentral or many-body forces occur in this material. We consider two alloys. The higher-Zn alloy shows lower magnitudes of the fourth-order elastic constants and a larger Cauchy discrepancy.
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