Optimal cuts to extract the third-order elastic constants of langasite single crystals

Optimal cuts to determine the third-order elastic constants of langasite single crystals by the resonator method are proposed. By designing a small number of langasite resonators with optimal cut angles and measuring their forcefrequency effects, the third-order elastic constants of langasite single crystals may be extracted separately. The numerical method to search for these optimal cut angles is presented. All 14 third-order elastic constants may be determined through a series of experimental measurements. This method will simplify traditional methods used to determine the third-order elastic constants and could potentially produce more accurate results.